{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generalized pooling through interpolation\n",
    "\n",
    "1. Compute interpolation weights between any two spherical samplings with [CDO](https://code.mpimet.mpg.de/projects/cdo) (through [SCRIP](https://github.com/SCRIP-Project/SCRIP/wiki/SCRIP-User-Guide) or [YAC](https://dkrz-sw.gitlab-pages.dkrz.de/yac/)).\n",
    "    * When downsampling, conservative interpolation (i.e., that preserve the integral) best represent the finer grid.\n",
    "    * When upsampling, conservative interpolation will keep the piece-wise constant structure of the coarser grid. Bilinear will be smoother. See a [comparison](https://pangeo-xesmf.readthedocs.io/en/latest/notebooks/Compare_algorithms.html).\n",
    "2. Use these weights to pool and unpool in pytorch by a multiplication with a sparse matrix.\n",
    "    * These weights are also used to remap ERA5 to any of our spherical samplings (from an N320 Gaussian grid)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "\n",
    "import numpy as np\n",
    "from scipy import sparse\n",
    "from matplotlib import pyplot as plt\n",
    "import pygsp as pg\n",
    "\n",
    "sys.path.insert(0, '..')\n",
    "from modules import remap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Run cdo from conda environment from a jupyter that is not in the environment.\n",
    "# import os, subprocess\n",
    "# cdo = os.path.join(sys.exec_prefix, 'bin/cdo')\n",
    "# p = subprocess.run([cdo, '-V'], stderr=subprocess.PIPE)\n",
    "# print(p.stderr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Graphs to remap to (pool and unpool to).\n",
    "graph1 = pg.graphs.SphereHealpix(subdivisions=2, nest=True, k=4, kernel_width=None)\n",
    "graph2 = pg.graphs.SphereHealpix(subdivisions=1, nest=True, k=4, kernel_width=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get true HEALPix pixels (not Voronoi cells) for verification\n",
    "\n",
    "Update `SphericalVoronoiMesh_from_pygsp` (in `remap.py`) with the below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "graph = graph2\n",
    "radius = 1\n",
    "\n",
    "def xyz2lonlat(x,y,z, radius=6371.0e6):\n",
    "    \"\"\"From cartesian geocentric coordinates to 2D geographic coordinates.\"\"\"\n",
    "    latitude = np.arcsin(z / radius)/np.pi*180\n",
    "    longitude = np.arctan2(y, x)/np.pi*180\n",
    "    return longitude, latitude \n",
    "\n",
    "# Hack to get HEALPix true vertices (quadrilateral polygons).\n",
    "import healpy as hp\n",
    "npix = graph.n_vertices\n",
    "nside = np.sqrt(npix/12)\n",
    "step = 8  # number of vertices per edge (edges are not geodesics)\n",
    "vertices = hp.boundaries(nside, range(npix), nest=graph.nest, step=step)\n",
    "assert vertices.shape == (npix, 3, 4*step)\n",
    "list_polygons_lonlat = []\n",
    "for tmp_xyz in vertices:\n",
    "    tmp_lon, tmp_lat = xyz2lonlat(tmp_xyz[0],tmp_xyz[1],tmp_xyz[2], radius=radius)\n",
    "    list_polygons_lonlat.append(np.column_stack((tmp_lon, tmp_lat)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# HEALPix vertices are ordered counter-clockwise.\n",
    "vertex = vertices[7]\n",
    "lat, lon = pg.utils.xyz2latlon(vertex[0], vertex[1], vertex[2])\n",
    "plt.scatter(lon, lat)\n",
    "plt.xlim(0, 2*np.pi)\n",
    "plt.ylim(-np.pi/2, np.pi/2)\n",
    "for i, (lon_i, lat_i) in enumerate(zip(lon, lat)):\n",
    "    plt.text(lon_i, lat_i, i)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get interpolation (remapping) weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['nearest_neighbors',\n",
       " 'idw',\n",
       " 'bilinear',\n",
       " 'bicubic',\n",
       " 'conservative',\n",
       " 'conservative_SCRIP',\n",
       " 'conservative2',\n",
       " 'largest_area_fraction']"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "remap.get_available_interp_methods()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:              (dst_grid_corners: 6, dst_grid_rank: 1, dst_grid_size: 12, num_links: 80, num_wgts: 1, src_grid_corners: 7, src_grid_rank: 1, src_grid_size: 48)\n",
       "Dimensions without coordinates: dst_grid_corners, dst_grid_rank, dst_grid_size, num_links, num_wgts, src_grid_corners, src_grid_rank, src_grid_size\n",
       "Data variables:\n",
       "    src_grid_dims        (src_grid_rank) int32 48\n",
       "    dst_grid_dims        (dst_grid_rank) int32 12\n",
       "    src_grid_center_lat  (src_grid_size) float64 0.3398 0.7297 ... -0.3398\n",
       "    dst_grid_center_lat  (dst_grid_size) float64 0.7297 0.7297 ... -0.7297\n",
       "    src_grid_center_lon  (src_grid_size) float64 0.7854 1.178 ... 5.105 5.498\n",
       "    dst_grid_center_lon  (dst_grid_size) float64 0.7854 2.356 ... 3.927 5.498\n",
       "    src_grid_corner_lat  (src_grid_size, src_grid_corners) float64 0.0 ... -0...\n",
       "    src_grid_corner_lon  (src_grid_size, src_grid_corners) float64 0.8348 ......\n",
       "    dst_grid_corner_lat  (dst_grid_size, dst_grid_corners) float64 -1.732e-16...\n",
       "    dst_grid_corner_lon  (dst_grid_size, dst_grid_corners) float64 0.8394 ......\n",
       "    src_grid_imask       (src_grid_size) int32 1 1 1 1 1 1 1 1 ... 1 1 1 1 1 1 1\n",
       "    dst_grid_imask       (dst_grid_size) int32 1 1 1 1 1 1 1 1 1 1 1 1\n",
       "    src_grid_area        (src_grid_size) float64 0.2592 0.2582 ... 0.2582 0.2592\n",
       "    dst_grid_area        (dst_grid_size) float64 1.085 1.085 ... 1.085 1.085\n",
       "    src_grid_frac        (src_grid_size) float64 1.0 1.0 1.0 1.0 ... 1.0 1.0 1.0\n",
       "    dst_grid_frac        (dst_grid_size) float64 1.0 1.0 1.0 1.0 ... 1.0 1.0 1.0\n",
       "    src_address          (num_links) int32 1 2 3 4 18 20 ... 29 30 45 46 47 48\n",
       "    dst_address          (num_links) int32 1 1 1 1 1 1 1 ... 12 12 12 12 12 12\n",
       "    remap_matrix         (num_links, num_wgts) float64 0.2389 0.238 ... 0.2389\n",
       "Attributes:\n",
       "    title:          SCRIP remapping with CDO\n",
       "    normalization:  fracarea\n",
       "    map_method:     Conservative remapping using clipping on sphere\n",
       "    conventions:    SCRIP\n",
       "    source_grid:    unstructured\n",
       "    dest_grid:      unstructured\n",
       "    history:        15 Mar 2021 : cdo -b 64 genycon,/tmp/dst_CDO_grid_ypnubqk...\n",
       "    CDO:            Climate Data Operators version 1.9.9 (https://mpimet.mpg....</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-88dee6d5-436b-45ba-be18-ff3601c089a5' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-88dee6d5-436b-45ba-be18-ff3601c089a5' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span>dst_grid_corners</span>: 6</li><li><span>dst_grid_rank</span>: 1</li><li><span>dst_grid_size</span>: 12</li><li><span>num_links</span>: 80</li><li><span>num_wgts</span>: 1</li><li><span>src_grid_corners</span>: 7</li><li><span>src_grid_rank</span>: 1</li><li><span>src_grid_size</span>: 48</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-9bceb99f-570c-4797-bba9-eef902cb4c8a' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-9bceb99f-570c-4797-bba9-eef902cb4c8a' class='xr-section-summary'  title='Expand/collapse section'>Coordinates: <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-dc567fa1-6461-4d4f-a9a9-eea451acd998' class='xr-section-summary-in' type='checkbox'  ><label for='section-dc567fa1-6461-4d4f-a9a9-eea451acd998' class='xr-section-summary' >Data variables: <span>(19)</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>src_grid_dims</span></div><div class='xr-var-dims'>(src_grid_rank)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-d71c4665-8c45-4d75-a348-9342cf3f7595' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d71c4665-8c45-4d75-a348-9342cf3f7595' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-adb63399-250b-4aa6-ae9d-491583de8309' class='xr-var-data-in' type='checkbox'><label for='data-adb63399-250b-4aa6-ae9d-491583de8309' 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([48], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_grid_dims</span></div><div class='xr-var-dims'>(dst_grid_rank)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-a4f5b3fa-43cc-4008-b2be-81d2d35eaeb2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a4f5b3fa-43cc-4008-b2be-81d2d35eaeb2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bcdc0d38-93e8-4e98-b896-d084c6138ac5' class='xr-var-data-in' type='checkbox'><label for='data-bcdc0d38-93e8-4e98-b896-d084c6138ac5' 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([12], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>src_grid_center_lat</span></div><div class='xr-var-dims'>(src_grid_size)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-4b4b1866-d31e-45e7-831a-852811626714' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4b4b1866-d31e-45e7-831a-852811626714' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-fde2db55-64a0-4e8b-bcf7-f48bf1f99a03' class='xr-var-data-in' type='checkbox'><label for='data-fde2db55-64a0-4e8b-bcf7-f48bf1f99a03' 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'><dt><span>units :</span></dt><dd>radians</dd></dl></div><div class='xr-var-data'><pre>array([ 0.339837,  0.729728,  0.729728,  1.159658,  0.339837,  0.729728,\n",
       "        0.729728,  1.159658,  0.339837,  0.729728,  0.729728,  1.159658,\n",
       "        0.339837,  0.729728,  0.729728,  1.159658, -0.339837,  0.      ,\n",
       "        0.      ,  0.339837, -0.339837,  0.      ,  0.      ,  0.339837,\n",
       "       -0.339837,  0.      ,  0.      ,  0.339837, -0.339837,  0.      ,\n",
       "        0.      ,  0.339837, -1.159658, -0.729728, -0.729728, -0.339837,\n",
       "       -1.159658, -0.729728, -0.729728, -0.339837, -1.159658, -0.729728,\n",
       "       -0.729728, -0.339837, -1.159658, -0.729728, -0.729728, -0.339837])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_grid_center_lat</span></div><div class='xr-var-dims'>(dst_grid_size)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-664d6a03-7505-4ec5-bef3-89cb0e07a392' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-664d6a03-7505-4ec5-bef3-89cb0e07a392' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-071e5636-d542-4874-8d00-455f0f3d63dc' class='xr-var-data-in' type='checkbox'><label for='data-071e5636-d542-4874-8d00-455f0f3d63dc' 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'><dt><span>units :</span></dt><dd>radians</dd></dl></div><div class='xr-var-data'><pre>array([ 0.729728,  0.729728,  0.729728,  0.729728,  0.      ,  0.      ,\n",
       "        0.      ,  0.      , -0.729728, -0.729728, -0.729728, -0.729728])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>src_grid_center_lon</span></div><div class='xr-var-dims'>(src_grid_size)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-15718adc-b7c4-42f6-8fcf-a95186b6a466' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-15718adc-b7c4-42f6-8fcf-a95186b6a466' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ac1ccce6-4bfc-49ae-b0bf-85cd4e88a905' class='xr-var-data-in' type='checkbox'><label for='data-ac1ccce6-4bfc-49ae-b0bf-85cd4e88a905' 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'><dt><span>units :</span></dt><dd>radians</dd></dl></div><div class='xr-var-data'><pre>array([0.785398, 1.178097, 0.392699, 0.785398, 2.356194, 2.748894, 1.963495,\n",
       "       2.356194, 3.926991, 4.31969 , 3.534292, 3.926991, 5.497787, 5.890486,\n",
       "       5.105088, 5.497787, 0.      , 0.392699, 5.890486, 0.      , 1.570796,\n",
       "       1.963495, 1.178097, 1.570796, 3.141593, 3.534292, 2.748894, 3.141593,\n",
       "       4.712389, 5.105088, 4.31969 , 4.712389, 0.785398, 1.178097, 0.392699,\n",
       "       0.785398, 2.356194, 2.748894, 1.963495, 2.356194, 3.926991, 4.31969 ,\n",
       "       3.534292, 3.926991, 5.497787, 5.890486, 5.105088, 5.497787])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_grid_center_lon</span></div><div class='xr-var-dims'>(dst_grid_size)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-c27e6ee6-0cc8-4dd0-816f-f5850cb66dbf' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c27e6ee6-0cc8-4dd0-816f-f5850cb66dbf' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-fc5d9e2c-a714-4680-bf8f-f0b1794547ba' class='xr-var-data-in' type='checkbox'><label for='data-fc5d9e2c-a714-4680-bf8f-f0b1794547ba' 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'><dt><span>units :</span></dt><dd>radians</dd></dl></div><div class='xr-var-data'><pre>array([0.785398, 2.356194, 3.926991, 5.497787, 0.      , 1.570796, 3.141593,\n",
       "       4.712389, 0.785398, 2.356194, 3.926991, 5.497787])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>src_grid_corner_lat</span></div><div class='xr-var-dims'>(src_grid_size, src_grid_corners)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-dd0bda0f-eb72-4349-bbdb-b88c471cddc2' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-dd0bda0f-eb72-4349-bbdb-b88c471cddc2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-eb5c2218-835e-4db8-b126-53840f0802c6' class='xr-var-data-in' type='checkbox'><label for='data-eb5c2218-835e-4db8-b126-53840f0802c6' 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'><dt><span>units :</span></dt><dd>radians</dd></dl></div><div class='xr-var-data'><pre>array([[ 0.      ,  0.36486 ,  0.651497, ...,  0.      ,  0.      ,  0.      ],\n",
       "       [ 0.36486 ,  0.36486 ,  0.651497, ...,  0.857571,  0.651497,  0.651497],\n",
       "       [ 0.651497,  1.018891,  1.018891, ...,  0.651497,  0.36486 ,  0.36486 ],\n",
       "       ...,\n",
       "       [-0.651497, -1.018891, -0.857571, ..., -0.36486 , -0.36486 , -0.36486 ],\n",
       "       [-0.651497, -0.36486 , -0.36486 , ..., -1.018891, -0.857571, -0.857571],\n",
       "       [-0.36486 ,  0.      ,  0.      , ..., -0.651497, -0.651497, -0.651497]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>src_grid_corner_lon</span></div><div class='xr-var-dims'>(src_grid_size, src_grid_corners)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-d7ca65a4-c0e2-49eb-88fb-f3ec9cceb990' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-d7ca65a4-c0e2-49eb-88fb-f3ec9cceb990' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-18b05b83-d4a1-4b9f-b025-f8910df91994' class='xr-var-data-in' type='checkbox'><label for='data-18b05b83-d4a1-4b9f-b025-f8910df91994' 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'><dt><span>units :</span></dt><dd>radians</dd></dl></div><div class='xr-var-data'><pre>array([[0.834823, 1.173563, 0.785398, ..., 0.735973, 0.735973, 0.735973],\n",
       "       [1.173563, 1.182632, 1.570796, ..., 0.785398, 0.785398, 0.785398],\n",
       "       [6.283185, 6.283185, 6.283185, ..., 0.785398, 0.397234, 0.388165],\n",
       "       ...,\n",
       "       [6.283185, 6.283185, 5.497787, ..., 5.885952, 5.895021, 5.895021],\n",
       "       [5.497787, 5.109622, 5.100554, ..., 4.712389, 5.497787, 5.497787],\n",
       "       [5.885952, 5.547212, 5.448362, ..., 5.497787, 5.497787, 5.497787]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_grid_corner_lat</span></div><div class='xr-var-dims'>(dst_grid_size, dst_grid_corners)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-4ae4baba-7f11-4422-ae52-b194599e821b' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-4ae4baba-7f11-4422-ae52-b194599e821b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2d5505df-aedd-466f-8a0d-4e559c3bec81' class='xr-var-data-in' type='checkbox'><label for='data-2d5505df-aedd-466f-8a0d-4e559c3bec81' 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'><dt><span>units :</span></dt><dd>radians</dd></dl></div><div class='xr-var-data'><pre>array([[-1.731973e-16,  6.170272e-01,  1.570796e+00,  6.170272e-01,\n",
       "        -1.795578e-16, -1.795578e-16],\n",
       "       [ 6.170272e-01,  1.570796e+00,  1.570796e+00,  6.170272e-01,\n",
       "        -1.731973e-16, -1.795578e-16],\n",
       "       [-1.731973e-16, -1.795578e-16,  6.170272e-01,  1.570796e+00,\n",
       "         6.170272e-01,  6.170272e-01],\n",
       "       [ 6.170272e-01,  1.570796e+00,  1.570796e+00,  6.170272e-01,\n",
       "        -1.175850e-16, -1.175850e-16],\n",
       "       [-1.795578e-16,  6.170272e-01, -1.175850e-16, -6.170272e-01,\n",
       "        -6.170272e-01, -6.170272e-01],\n",
       "       [-1.731973e-16,  6.170272e-01, -1.795578e-16, -6.170272e-01,\n",
       "        -6.170272e-01, -6.170272e-01],\n",
       "       [-6.170272e-01, -1.731973e-16,  6.170272e-01, -1.731973e-16,\n",
       "        -1.731973e-16, -1.731973e-16],\n",
       "       [-6.170272e-01, -1.175850e-16,  6.170272e-01, -1.795578e-16,\n",
       "        -1.795578e-16, -1.795578e-16],\n",
       "       [-1.731973e-16, -1.795578e-16, -6.170272e-01, -1.570796e+00,\n",
       "        -6.170272e-01, -6.170272e-01],\n",
       "       [-6.170272e-01, -1.795578e-16, -1.731973e-16, -6.170272e-01,\n",
       "        -1.570796e+00, -1.570796e+00],\n",
       "       [-6.170272e-01, -1.570796e+00, -6.170272e-01, -1.795578e-16,\n",
       "        -1.731973e-16, -1.731973e-16],\n",
       "       [-6.170272e-01, -1.570796e+00, -1.570796e+00, -6.170272e-01,\n",
       "        -1.175850e-16, -1.175850e-16]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_grid_corner_lon</span></div><div class='xr-var-dims'>(dst_grid_size, dst_grid_corners)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-ec06a884-cb0d-4ef6-afab-0a07f85fc4c3' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-ec06a884-cb0d-4ef6-afab-0a07f85fc4c3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-dd7b11d6-f622-4430-8a5d-0f876adea362' class='xr-var-data-in' type='checkbox'><label for='data-dd7b11d6-f622-4430-8a5d-0f876adea362' 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'><dt><span>units :</span></dt><dd>radians</dd></dl></div><div class='xr-var-data'><pre>array([[0.839438, 1.570796, 0.      , 6.283185, 0.731358, 0.731358],\n",
       "       [1.570796, 0.      , 0.      , 3.141593, 2.410234, 2.302155],\n",
       "       [3.872951, 3.981031, 4.712389, 0.      , 3.141593, 3.141593],\n",
       "       [6.283185, 0.      , 0.      , 4.712389, 5.443747, 5.551827],\n",
       "       [0.731358, 6.283185, 5.551827, 6.283185, 6.283185, 6.283185],\n",
       "       [0.839438, 1.570796, 2.302155, 1.570796, 1.570796, 1.570796],\n",
       "       [3.141593, 2.410234, 3.141593, 3.872951, 3.872951, 3.872951],\n",
       "       [4.712389, 5.443747, 4.712389, 3.981031, 3.981031, 3.981031],\n",
       "       [0.839438, 0.731358, 6.283185, 0.      , 1.570796, 1.570796],\n",
       "       [1.570796, 2.302155, 2.410234, 3.141593, 0.      , 0.      ],\n",
       "       [3.141593, 0.      , 4.712389, 3.981031, 3.872951, 3.872951],\n",
       "       [6.283185, 0.      , 0.      , 4.712389, 5.443747, 5.551827]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>src_grid_imask</span></div><div class='xr-var-dims'>(src_grid_size)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-00ea25a6-b8be-4234-94c3-e3f1850117fc' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-00ea25a6-b8be-4234-94c3-e3f1850117fc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-995e12c4-85b9-44b9-9c4c-996188a35d4f' class='xr-var-data-in' type='checkbox'><label for='data-995e12c4-85b9-44b9-9c4c-996188a35d4f' 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'><dt><span>units :</span></dt><dd>unitless</dd></dl></div><div class='xr-var-data'><pre>array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "      dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_grid_imask</span></div><div class='xr-var-dims'>(dst_grid_size)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-cf2c57bb-076f-4c1f-ba20-2de532b3d234' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-cf2c57bb-076f-4c1f-ba20-2de532b3d234' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a15b5e5d-abfb-491d-9644-adf143c33d3b' class='xr-var-data-in' type='checkbox'><label for='data-a15b5e5d-abfb-491d-9644-adf143c33d3b' 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'><dt><span>units :</span></dt><dd>unitless</dd></dl></div><div class='xr-var-data'><pre>array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>src_grid_area</span></div><div class='xr-var-dims'>(src_grid_size)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-45e2f5f9-b395-48be-b5e4-e7ff449ba705' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-45e2f5f9-b395-48be-b5e4-e7ff449ba705' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0b46769e-b438-4514-9b12-70f4f5ad76c0' class='xr-var-data-in' type='checkbox'><label for='data-0b46769e-b438-4514-9b12-70f4f5ad76c0' 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'><dt><span>units :</span></dt><dd>square radians</dd></dl></div><div class='xr-var-data'><pre>array([0.259184, 0.258215, 0.258215, 0.277227, 0.259184, 0.258215, 0.258215,\n",
       "       0.277227, 0.259184, 0.258215, 0.258215, 0.277227, 0.259184, 0.258215,\n",
       "       0.258215, 0.277227, 0.259184, 0.258771, 0.258771, 0.259184, 0.259184,\n",
       "       0.258771, 0.258771, 0.259184, 0.259184, 0.258771, 0.258771, 0.259184,\n",
       "       0.259184, 0.258771, 0.258771, 0.259184, 0.277227, 0.258215, 0.258215,\n",
       "       0.259184, 0.277227, 0.258215, 0.258215, 0.259184, 0.277227, 0.258215,\n",
       "       0.258215, 0.259184, 0.277227, 0.258215, 0.258215, 0.259184])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_grid_area</span></div><div class='xr-var-dims'>(dst_grid_size)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-c802d9c4-74ab-4d2b-9337-dbb62f0ef8fd' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c802d9c4-74ab-4d2b-9337-dbb62f0ef8fd' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0ef3eaa7-a45c-4448-8892-ab15797b1835' class='xr-var-data-in' type='checkbox'><label for='data-0ef3eaa7-a45c-4448-8892-ab15797b1835' 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'><dt><span>units :</span></dt><dd>square radians</dd></dl></div><div class='xr-var-data'><pre>array([1.085092, 1.085092, 1.085092, 1.085092, 0.971408, 0.971408, 0.971408,\n",
       "       0.971408, 1.085092, 1.085092, 1.085092, 1.085092])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>src_grid_frac</span></div><div class='xr-var-dims'>(src_grid_size)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-53ebee3d-a5eb-4d85-baeb-94b25b95b0cf' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-53ebee3d-a5eb-4d85-baeb-94b25b95b0cf' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b59097a2-ff4d-4251-9bb8-334d0ccf8557' class='xr-var-data-in' type='checkbox'><label for='data-b59097a2-ff4d-4251-9bb8-334d0ccf8557' 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'><dt><span>units :</span></dt><dd>unitless</dd></dl></div><div class='xr-var-data'><pre>array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
       "       1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
       "       1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_grid_frac</span></div><div class='xr-var-dims'>(dst_grid_size)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-b320495b-ba58-4a6f-9461-2034c35477fb' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-b320495b-ba58-4a6f-9461-2034c35477fb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-acbc44a2-1d9c-4e49-9d9f-15ef4d571dcc' class='xr-var-data-in' type='checkbox'><label for='data-acbc44a2-1d9c-4e49-9d9f-15ef4d571dcc' 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'><dt><span>units :</span></dt><dd>unitless</dd></dl></div><div class='xr-var-data'><pre>array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>src_address</span></div><div class='xr-var-dims'>(num_links)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-3e98b9d2-20c3-4c21-9bee-470d4c723e54' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3e98b9d2-20c3-4c21-9bee-470d4c723e54' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7aa75ae2-43cf-48b8-b895-bcdd83a8c1d9' class='xr-var-data-in' type='checkbox'><label for='data-7aa75ae2-43cf-48b8-b895-bcdd83a8c1d9' 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,  2,  3,  4, 18, 20, 23, 24,  5,  6,  7,  8, 22, 24, 27, 28,  9, 10,\n",
       "       11, 12, 26, 28, 31, 32, 13, 14, 15, 16, 19, 20, 30, 32, 17, 18, 19, 20,\n",
       "       21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 17, 18, 21, 23, 33, 34,\n",
       "       35, 36, 21, 22, 25, 27, 37, 38, 39, 40, 25, 26, 29, 31, 41, 42, 43, 44,\n",
       "       17, 19, 29, 30, 45, 46, 47, 48], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>dst_address</span></div><div class='xr-var-dims'>(num_links)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-fc501905-2a63-4bc8-bbc1-0778c19b6cf0' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fc501905-2a63-4bc8-bbc1-0778c19b6cf0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-480e51ae-9b63-4402-acc1-6c458660cc5e' class='xr-var-data-in' type='checkbox'><label for='data-480e51ae-9b63-4402-acc1-6c458660cc5e' 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,  1,  1,  1,  1,  1,  1,  1,  2,  2,  2,  2,  2,  2,  2,  2,  3,  3,\n",
       "        3,  3,  3,  3,  3,  3,  4,  4,  4,  4,  4,  4,  4,  4,  5,  5,  5,  5,\n",
       "        6,  6,  6,  6,  7,  7,  7,  7,  8,  8,  8,  8,  9,  9,  9,  9,  9,  9,\n",
       "        9,  9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11,\n",
       "       12, 12, 12, 12, 12, 12, 12, 12], dtype=int32)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>remap_matrix</span></div><div class='xr-var-dims'>(num_links, num_wgts)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-3af273f8-24cf-46fa-95cb-4cebafc8b7b4' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3af273f8-24cf-46fa-95cb-4cebafc8b7b4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-824de6b4-4da1-4872-aaa0-011322a46cf6' class='xr-var-data-in' type='checkbox'><label for='data-824de6b4-4da1-4872-aaa0-011322a46cf6' 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([[0.238859],\n",
       "       [0.237966],\n",
       "       [0.237966],\n",
       "       [0.255487],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.238859],\n",
       "       [0.237966],\n",
       "       [0.237966],\n",
       "       [0.255487],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.238859],\n",
       "       [0.237966],\n",
       "       [0.237966],\n",
       "       [0.255487],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.238859],\n",
       "       [0.237966],\n",
       "       [0.237966],\n",
       "       [0.255487],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.24672 ],\n",
       "       [0.25328 ],\n",
       "       [0.25328 ],\n",
       "       [0.24672 ],\n",
       "       [0.24672 ],\n",
       "       [0.25328 ],\n",
       "       [0.25328 ],\n",
       "       [0.24672 ],\n",
       "       [0.24672 ],\n",
       "       [0.25328 ],\n",
       "       [0.25328 ],\n",
       "       [0.24672 ],\n",
       "       [0.24672 ],\n",
       "       [0.25328 ],\n",
       "       [0.25328 ],\n",
       "       [0.24672 ],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.255487],\n",
       "       [0.237966],\n",
       "       [0.237966],\n",
       "       [0.238859],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.255487],\n",
       "       [0.237966],\n",
       "       [0.237966],\n",
       "       [0.238859],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.255487],\n",
       "       [0.237966],\n",
       "       [0.237966],\n",
       "       [0.238859],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.008994],\n",
       "       [0.005867],\n",
       "       [0.255487],\n",
       "       [0.237966],\n",
       "       [0.237966],\n",
       "       [0.238859]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-b1bd034a-347a-4bff-b45b-4175425cceda' class='xr-section-summary-in' type='checkbox'  checked><label for='section-b1bd034a-347a-4bff-b45b-4175425cceda' class='xr-section-summary' >Attributes: <span>(8)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>title :</span></dt><dd>SCRIP remapping with CDO</dd><dt><span>normalization :</span></dt><dd>fracarea</dd><dt><span>map_method :</span></dt><dd>Conservative remapping using clipping on sphere</dd><dt><span>conventions :</span></dt><dd>SCRIP</dd><dt><span>source_grid :</span></dt><dd>unstructured</dd><dt><span>dest_grid :</span></dt><dd>unstructured</dd><dt><span>history :</span></dt><dd>15 Mar 2021 : cdo -b 64 genycon,/tmp/dst_CDO_grid_ypnubqke -setgrid,/tmp/src_CDO_grid_vgpb21dy /tmp/dummy_1D_netcdf_8kgqhels.nc /tmp/CDO_weights_ytw3n6zm.nc</dd><dt><span>CDO :</span></dt><dd>Climate Data Operators version 1.9.9 (https://mpimet.mpg.de/cdo)</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:              (dst_grid_corners: 6, dst_grid_rank: 1, dst_grid_size: 12, num_links: 80, num_wgts: 1, src_grid_corners: 7, src_grid_rank: 1, src_grid_size: 48)\n",
       "Dimensions without coordinates: dst_grid_corners, dst_grid_rank, dst_grid_size, num_links, num_wgts, src_grid_corners, src_grid_rank, src_grid_size\n",
       "Data variables:\n",
       "    src_grid_dims        (src_grid_rank) int32 ...\n",
       "    dst_grid_dims        (dst_grid_rank) int32 ...\n",
       "    src_grid_center_lat  (src_grid_size) float64 ...\n",
       "    dst_grid_center_lat  (dst_grid_size) float64 ...\n",
       "    src_grid_center_lon  (src_grid_size) float64 ...\n",
       "    dst_grid_center_lon  (dst_grid_size) float64 ...\n",
       "    src_grid_corner_lat  (src_grid_size, src_grid_corners) float64 ...\n",
       "    src_grid_corner_lon  (src_grid_size, src_grid_corners) float64 ...\n",
       "    dst_grid_corner_lat  (dst_grid_size, dst_grid_corners) float64 ...\n",
       "    dst_grid_corner_lon  (dst_grid_size, dst_grid_corners) float64 ...\n",
       "    src_grid_imask       (src_grid_size) int32 ...\n",
       "    dst_grid_imask       (dst_grid_size) int32 ...\n",
       "    src_grid_area        (src_grid_size) float64 ...\n",
       "    dst_grid_area        (dst_grid_size) float64 ...\n",
       "    src_grid_frac        (src_grid_size) float64 ...\n",
       "    dst_grid_frac        (dst_grid_size) float64 ...\n",
       "    src_address          (num_links) int32 ...\n",
       "    dst_address          (num_links) int32 ...\n",
       "    remap_matrix         (num_links, num_wgts) float64 ...\n",
       "Attributes:\n",
       "    title:          SCRIP remapping with CDO\n",
       "    normalization:  fracarea\n",
       "    map_method:     Conservative remapping using clipping on sphere\n",
       "    conventions:    SCRIP\n",
       "    source_grid:    unstructured\n",
       "    dest_grid:      unstructured\n",
       "    history:        15 Mar 2021 : cdo -b 64 genycon,/tmp/dst_CDO_grid_ypnubqk...\n",
       "    CDO:            Climate Data Operators version 1.9.9 (https://mpimet.mpg...."
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "remap.compute_interpolation_weights(graph1, graph2, method='conservative', normalization='fracarea') # destarea’"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build interpolation (pooling) matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_interpolation_matrix(src_graph, dst_graph):\n",
    "    \"\"\"Return the sparse matrix that interpolates between two spherical samplings.\"\"\"\n",
    "\n",
    "    ds = remap.compute_interpolation_weights(src_graph, dst_graph, method='conservative', normalization='fracarea') # destarea’\n",
    "\n",
    "    # Sanity checks.\n",
    "    np.testing.assert_allclose(ds.src_grid_center_lat, src_graph.signals['lat'])\n",
    "    np.testing.assert_allclose(ds.src_grid_center_lon, src_graph.signals['lon'])\n",
    "    np.testing.assert_allclose(ds.dst_grid_center_lat, dst_graph.signals['lat'])\n",
    "    np.testing.assert_allclose(ds.dst_grid_center_lon, dst_graph.signals['lon'])\n",
    "    np.testing.assert_allclose(ds.src_grid_frac, 1)\n",
    "    np.testing.assert_allclose(ds.dst_grid_frac, 1)\n",
    "    np.testing.assert_allclose(ds.src_grid_imask, 1)\n",
    "    np.testing.assert_allclose(ds.dst_grid_imask, 1)\n",
    "\n",
    "    col = ds.src_address\n",
    "    row = ds.dst_address\n",
    "    dat = ds.remap_matrix.squeeze()\n",
    "    # CDO indexing starts at 1\n",
    "    row = np.array(row) - 1\n",
    "    col = np.array(col) - 1\n",
    "    weights = sparse.csr_matrix((dat, (row, col)))\n",
    "    assert weights.shape == (dst_graph.n_vertices, src_graph.n_vertices)\n",
    "\n",
    "    # Destination pixels are normalized to 1 (row-sum = 1).\n",
    "    # Weights represent the fractions of area attributed to source pixels.\n",
    "    np.testing.assert_allclose(weights.sum(axis=1), 1)\n",
    "    # Interpolation is conservative: it preserves area.\n",
    "    np.testing.assert_allclose(weights.T @ ds.dst_grid_area, ds.src_grid_area)\n",
    "\n",
    "    # Unnormalize.\n",
    "    weights = weights.multiply(ds.dst_grid_area.values[:, np.newaxis])\n",
    "\n",
    "    # Another way to assert that the interpolation is conservative.\n",
    "    np.testing.assert_allclose(np.asarray(weights.sum(1)).squeeze(), ds.dst_grid_area)\n",
    "    np.testing.assert_allclose(np.asarray(weights.sum(0)).squeeze(), ds.src_grid_area)\n",
    "\n",
    "    return weights\n",
    "\n",
    "def build_pooling_matrices(weights):\n",
    "    \"\"\"Normalize interpolation matrix for pooling and unpooling.\"\"\"\n",
    "    pool = weights.multiply(1/weights.sum(1))\n",
    "    unpool = weights.multiply(1/weights.sum(0)).T\n",
    "    return pool, unpool\n",
    "\n",
    "weights = build_interpolation_matrix(graph1, graph2)\n",
    "pool, unpool = build_pooling_matrices(weights)\n",
    "\n",
    "# Check normalization.\n",
    "np.testing.assert_allclose(pool.sum(1), 1)\n",
    "np.testing.assert_allclose(unpool.sum(1), 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyze the interpolation matrices\n",
    "\n",
    "* Can be seen as a bipartite graph made of source and destination pixels.\n",
    "* Entries (edge weights) are the overlapping areas between source and destination pixels.\n",
    "    * The row-sum is the areas of destination pixels.\n",
    "    * The column-sum is the areas of source pixels.\n",
    "* Matrix can be row- (destination areas equal 1) or column-normalized (source areas equal 1).\n",
    "    * Row-normalize: pooling matrix.\n",
    "    * Column-normalize: unpooling matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LSepzC8kD/Oskc6i09HldAnxH0uskvzC02ksgIu4iqfct6dCBJ0kmHQe4h2QesGdJhke8yY7DEiYASyX9lWRRrckFQ8zMzMzMqkVrz9LfAxaSLAr7BMkiT98DiIhnSZ6dfwf8heaLq+4g/QP76STz3r1I8sz9yTSvteeulvwBWE6yjsEPI+LeIsf8K8lcf1enz77nAt+TNLaD12x6Vv4iybPkRpI/5M9q47Qr02PuTZ9FF5AsLgNwPcnz5EvAU2le1nnAyjTGqRRf6NfMukFEbCVZjO8CkvvBJ0l+x27KXwj8H5KFpTeS3LMuSLPb245Rakyt3qMi4hmSP6itUDKEft+C85eR3Gf+Xxrb6cDpaV074k8kCwW+QrKWzN9FxA7TAqYjIG4A/i0iHouIv5C8F/+dNmJ+jeS9W5DeC39HMrq2LW393l7Mp0karp8ief9uJ5mHG5KOXu8l6S17N5nPmtY/TysT7ThVheWdpM+RNJgd1+bBVhJJ80gm6b62zOXuRtKrdGxEPF/Oss3MzMysOkgaTdKhoG8L88OamVkVkHQByUJZH+zuWKw2uKdrzknaR9IH0m7kB5F0pb+ru+Oy4iSdng4r25VkzponeGfxATMzMzMzMzMzqwFudM2/fiSr070O/B74NfCzbo3IWjOJZAqE1SRDFiaHu5ubmZmZmZmZmdUUTy9gZmZmZmZmZmZmVkbu6WpmZmZmZmZmZmZWRn0qebEhQ4bE6NGjK3lJM7NmFi1a9EpEDO3uOMzMOurkE3aNDa82lHTsosffuiciJnRxSIafdc2sOvSUZ13fc82sGrR2z61oo+vo0aNZuHBhJS9pZtaMpBe6OwYzs87Y8GoDj9wzqqRje+/zlyFdHI6l/KxrZtWgpzzr+p5rZtWgtXtuRRtdzczMzKzzAmiksbvDMDMzMzOzFrjR1czMzCxnguDtKG16ATMzMzMzqzwvpGVmZmaWQ40l/lcrJE2QtEzSckmXFck/R9Lj6TZf0hFp+kGSlmS2zZK+nObdmklfKWlJmj5a0t8yedMqWVczMzMzyz/3dDUzMzPLmSBoiOjuMCpGUm/gKuAjQD3wqKRZEfFU5rDngeMiYqOkicB04KiIWAaMy5TzEnAXQER8MnONHwGvZcp7LiLGdVmlzMzMzKymudHVzMzMLIca6TmNrsCRwPKIWAEg6RZgErC90TUi5meOXwCMKFLOiSSNqTsseCBJwFnAh8sct5mZmZn1UJ5ewMzMzCxnAmggStpqxHBgVWa/Pk1ryUXAnCLpk4Gbi6R/CHg5Iv6SSRsj6c+S/iDpQy1dSNIUSQslLVy/fn0rIZmZmZlZT9Jmo6ukGZLWSXqyIP0L6bxaSyX9e9eFaGZmZmaFGomSthqhImlFKyfpBJJG168VpPcDPgbcVuS0s9mxMXYNMCoi3gP8A3CTpIHFrhcR0yOiLiLqhg4d2mZFym3RCxu56oHlLHphYy7K7cqyuzJma5u/M5Ur2zqmqz8Tl2/VLu/foTyWX8r0AtcB/wlc35SQPsxOAg6PiLck7VW2iMzMzMysVQG83YPmdCXp2Toysz8CWF14kKTDgWuBiRGxoSB7IrA4Il4uOKcPcCbwvqa0iHgLeCt9vUjSc8CBwMLOV6V8Fr2wkXOuXcDWbY3069OLGy8+mvftt0fVltuVZXdlzNY2f2cqV7Z1TFd/Ji7fql3ev0N5Lb/Nnq4R8SDwakHy54Ar0gdSImJdpyMxMzMzs5JEiVML1ND0Ao8CYyWNSXusTgZmZQ+QNAq4EzgvIp4tUkZhb9YmJwHPRER9pqyh6aJbSNofGAusKEtNymjBig1s3dZIY8Db2xpZsKKwnbm6yu3KsrsyZmubvzOVK9s6pqs/E5dv1S7v36G8lt/RhbQOBD4k6fvAm8BXI+LRYgdKmgJMARg1alS7LzT6srubpa284tR2l2Nm3a/p59k/w2ZmnRTQUDPtqW2LiG2SLgXuAXoDMyJiqaSpaf404FvAYOBnybpYbIuIOgBJ/YGPAJ8tUnyxeV6PBb4jaRvQAEyNiMJOCN3u6P0H069PL97e1kjfPr04ev/BVV1uV5bdlTFb2/ydqVzZ1jFd/Zm4fKt2ef8O5bV8RQlD0ySNBn4bEYel+08Cvwe+BIwHbgX2jzYKq6uri4UL2zcqy42uZrWjWhpdJS1q+kXczCyP/tfhfePXs4eUdOwBI9f6nlchHXnW7axFL2xkwYoNHL3/4LIPs+uKcruy7K6M2drm70zlym5LT3nWbe89t6s/E5dv1S7v36FqLb+1e25HG13nkkwvMC/dfw44OiJaXbLVja5mPZsbXc3MyuN/Hd4v7iyx0fXAkWt8z6uQ7mh0NTMr1FOedX3PNbNq0No9t805XVvwK+DDaeEHAv2AVzpYlpmZmZm1Q7KQlkrazMzMzMys8tqc01XSzcDxwBBJ9cDlwAxgRjrNwFbg/LamFjAzMzOz8gigATeompmZmZlVqzYbXSPi7Bayzi1zLGZmZmZWokb3YjUzsyoiaQZwGrCuaWrCgnwBVwKnAFuACyJicZr398DFJH9XfAK4MCLerFTsZmZdoaPTC5iZmZlZN2nq6VrKZmZmViHXARNayZ8IjE23KcDVAJKGA18E6tLG2t7A5C6N1MysAtrs6WpmZmZm1SUQDf7buZmZVZGIeDBdhLslk4Dr06kJF0gaJGmfNK8PsIukt4H+wOqujdbMrOv5ad3MzMwshxpDJW1tkTRB0jJJyyVdViT/HEmPp9t8SUdk8lZKekLSEkleQtrMzFozHFiV2a8HhkfES8APgReBNcBrEXFvsQIkTZG0UNLC9evXd3nAZmad4UZXMzMzs5wJxNboXdLWGkm9gatIhnweApwt6ZCCw54HjouIw4HvAtML8k+IiHERUVee2pmZWY0q9pfAkLQHSS/YMcC+wK6Siq4hExHTI6IuIuqGDh3ahaGamXWeG13NzMzMciaARnqVtLXhSGB5RKyIiK3ALSS/+L5zrYj5EbEx3V0AjCh3fczMrEeoB0Zm9keQTCNwEvB8RKyPiLeBO4H3d0N8ZmZl5UZXMzMzsxxqx0JaQ5qGYqbblEwxRYd6tnLZi4A5mf0A7pW0qKBcMzOzQrOATytxNMk0AmtIphU4WlJ/SQJOBJ7uzkDNzMrBC2mZmZmZ5UyEaIiS/3b+SitD/4sO9Sx6oHQCSaPrBzPJH4iI1ZL2Au6T9ExEPFhqYGZmVjsk3QwcT/LHvnrgcqAvQERMA2YDpwDLgS3AhWnenyTdDiwGtgF/pvlUNmZmueNGVzMzM7McaizaXtpuLQ313IGkw4FrgYkRsaEpPSJWp/9fJ+kukukK3OhqZtYDRcTZbeQH8PkW8i4naaQ1M6sZnl7AzMzMLGeShbT6lLS14VFgrKQxkvoBk0mGf24naRTJ/HrnRcSzmfRdJQ1oeg18FHiyjNU0MzMzM8st93Q1MzMzy5mmhbQ6XU7ENkmXAvcAvYEZEbFU0tQ0fxrwLWAw8LNkqj22pdMV7A3clab1AW6KiLmdDsrMzMzMrAa40dXMzMwshxqiLNMLEBGzSebZy6ZNy7y+GLi4yHkrgCPKEoSZmZmZWY1xo6uZmZlZzgSiwbNEmZmZmZlVLTe6mpmZmeVQY7jR1czMzMysWvlp3czMzCxnAmigV0lbrZA0QdIyScslXVYk/xxJj6fbfElHpOkHSVqS2TZL+nKa921JL2XyTsmU9/X0WssknVyxipqZmZlZTXBPVzMzM7OcCcTb0bu7w6gYSb2Bq4CPAPXAo5JmRcRTmcOeB46LiI2SJgLTgaMiYhkwLlPOS8BdmfN+HBE/LLjeIcBk4FBgX+B3kg6MiIYuqaCZmZmZ1Zza6f5gZmZm1kNEQEP0KmmrEUcCyyNiRURsBW4BJmUPiIj5EbEx3V0AjChSzonAcxHxQhvXmwTcEhFvRcTzwPI0BjMzMzOzkrT5JC5phqR1kp4skvdVSSFpSNeEZ2ZmZmbNicYStxoxHFiV2a9P01pyETCnSPpk4OaCtEvTKQlmSNqjvdeTNEXSQkkL169f31odzMzMzKwHKaX7w3XAhMJESSNJhni9WOaYzMzMzKwVQY/r6Vqs9TiKHiidQNLo+rWC9H7Ax4DbMslXAweQTD+wBvhRe68XEdMjoi4i6oYOHdpKFczMzMysJ2nzSTwiHgReLZL1Y+AfaeEB1MzMzMy6Tg9bSKseGJnZHwGsLjxI0uHAtcCkiNhQkD0RWBwRLzclRMTLEdEQEY3ANbwzhUBJ1zMzMzMza0mHnsQlfQx4KSIeK3M8ZmZmZtaGQDRGaVuNeBQYK2lM2mN1MjAre4CkUcCdwHkR8WyRMs6mYGoBSftkds8AmqbTmgVMlrSTpDHAWOCRstTEzMzMzHqEPu09QVJ/4J+Aj5Z4/BRgCsCoUaPaezkzMzMzKxDA29Hux7jciohtki4F7gF6AzMiYqmkqWn+NOBbwGDgZ5IAtkVEHWx/fv0I8NmCov9d0jiSt3RlU35a9kzgKWAb8PmIaOjSSpqZmZlZTenI0/oBwBjgsfSBdgSwWNKREbG28OCImA5MB6irq/NUBGZmZmadJhpqZ5GskkTEbGB2Qdq0zOuLgYtbOHcLSYNsYfp5rVzv+8D3OxqvmZmZmfVs7W50jYgngL2a9iWtBOoi4pUyxmVmZmZmLQigsXYWyTIzMzMzqzltPq1Luhl4GDhIUr2ki7o+LDMzMzNrTUPa27WtzczMzMzMKq/Nnq4RcXYb+aPLFo2ZmZmZtSlC7ulqZmZmZlbFes4KDGZmZmY1IllIq3d3h2FmZmZmZi1wo6uZmZlZ7ogG93Q1MzMzM6tabnQ1MzMzy5lkIS3P12pmZmZmVq3c6GpmZmaWQw1tr4dqZmZmZmbdxI2uZmZmZjkTyD1dzczMzMyqmBtdzczMzHKo0T1dzczMzMyqlhtdzczMzHImAt5udKOrmZmZmVm1cqOrmZmZWc4k0wu40dXMzMzMrFq50dXMzMwshxrwnK5mZmZmZtXKXSTMzMzMciaAxlBJm5mZWSVImiFpnaQnW8iXpJ9KWi7pcUnvzeQNknS7pGckPS3pmMpFbmbWNdzoamZmZpY7yfQCpWxmZmYVch0woZX8icDYdJsCXJ3JuxKYGxEHA0cAT3dRjGZmFePpBczMzMxyqNHTC5iZWRWJiAcljW7lkEnA9RERwIK0d+s+wBvAscAFaTlbga1dHK6ZWZdzo6uZmZlZzkTA2429uzsMMzOz9hgOrMrs16dp24D1wC8kHQEsAr4UEW8UFiBpCkkvWUaNGtXlAZuZdYbHnJmZmZnlTFDafK6e09XMzKpIsX+UgqQz2HuBqyPiPSQ9Xy8rVkBETI+IuoioGzp0aNdFamZWBm50NTMzM8uhRlTSViskTZC0LF2Apdkv45LOSRdmeVzS/LS3FJIOkrQks22W9OU07/+mi7Y8LukuSYPS9NGS/pY5Z1ol62pmVqPqgZGZ/RHA6jS9PiL+lKbfTtIIa2aWa250NTMzM8uZgB7V01VSb+AqkkVYDgHOlnRIwWHPA8dFxOHAd4HpABGxLCLGRcQ44H3AFuCu9Jz7gMPSc54Fvp4p77mm8yJiahdVzcysJ5kFfFqJo4HXImJNRKwFVkk6KD3uROCpbovSzKxM3OhqZmZmlkON0aukrS0d7UFayrlldCSwPCJWpAus3EKyIMt2ETE/IjamuwtIelAVOpGkMfWF9Jx7I2JbG+eYmVkJJN0MPAwcJKle0kWSpkpq+sPVbGAFsBy4Brgkc/oXgBslPQ6MA35QucjNzLpGmwtpSZoBnAasi4jD0rT/C5xOsqLgc8CFEbGpC+M0MzMzs1SE2FZCg2pbMj1IP0IyvPNRSbMiItvDqKkH6UZJE0l6kB5V4rnlUmzxlaNaOf4iYE6R9MnAzS2c8xng1sz+GEl/BjYD34yIh4qd5EVdzMwSEXF2G/kBfL6FvCVAXReEZWbWbUp5Wr8OmFCQ1tpQLDMzMzPrYmWaXqAzPUjbPLeMWlp8pfmB0gkkja5fK0jvB3wMuK3IOf9Esnr2jWnSGmBUuqDLPwA3SRpY7Hpe1MXMzMzMimmz0TUiHgReLUjzUCwzMzOzbtLOOV2HSFqY2aZkiirWg3R4K5fO9iBt77md0dLiKzuQdDhwLTApIjYUZE8EFkfEywXnnE8yquuctBcWEfFW0/kRsYhkZNeBZaqLmZmZmfUAbU4vUILCoVg78JArMzMzs/JrxyJZr0RES0M2O9KD9IPtPbcMHgXGShoDvEQyTcCnCuIbBdwJnBcRzxYp42wKphaQNIGkR+xxEbElkz4UeDUiGiTtD4wlmYfQzMzMzKwknWp0LTIUq5mImE66emxdXV1XPYibmZmZ9RhBSVMHlKK9PUgnZnqQlnRuOUTENkmXAvcAvYEZEbG0aXGWiJgGfAsYDPxMEsC2psZmSf1J5p79bEHR/wnsBNyXnrMgIqYCxwLfkbQNaACmRsSrmJmZmZmVqMONrpmhWCc2DcUyMzMzs8poLNrRtN0604O0zXPLKSJmk6x8nU2blnl9MXBxC+duIWmQLUx/VwvH3wHc0Zl4zczMzKxn69Cyt5mhWB/LDsUyMzPLG0mjJYWkPun+nPQPi+W8xrcl3dBC3ockLSvn9bqKpOMl1Xfi/GmS/rmcMXUXSd+QdG13XT8CtjX2KmlrvZzYBjT1IH0amNnUg7SpFyk79iBdImlha+d2TY3NzMzMzPKlzZ6ukm4GjidZhKEeuBz4OsWHYpmZmeVaREys8PUeAg4q5VhJxwM3RETVL2Ap6QLg4ohomv+TPDwrlPoeR8QPKhJQK8o0vUBne5A2O9fMzMzMzEpodI2Is4sk/7wLYjEzM2uTpD5pDztrJ7935VEN72MZ53Q1MzMzM7Mu0KHpBczMrDZIWinpq5Iel/SapFsl7ZzJ/z+Slkt6VdIsSftm8iIdgvwXSRslXaV0+EML12rxeEm9JH1T0guS1km6XtLuaV7T8P+LJL0I/F7SBZL+KOnHkjZJWiHp/Wn6qrSM8zPXPlXSnyVtTvO/3Uqc8yRdnL5+TNJfM1ukPSGRdLSk+en1H2tKT/PGSPqDpNcl3QcMaeV6OwzZb+kzkbQrMAfYNxPPvul7d5mk5yRtkDRT0p6tvHdNaVMkrZa0RtJXMtffSdJP0rzV6eudWoi96bqvS3pK0hlp+ruBacAxaZyb0vTrJH0vc35Zvl9Kpm+4TdINaSxPSDpQ0tfT78IqSR/NHH+hpKfTY1dI+mya3tJ7/G1Jt6flbwYuUGbKCEmfTMsZmO5PlLRW0tCWPvdyiFBJm5mZmZmZVZ4bXc3M7CxgAjAGOBy4AEDSh4F/TfP3AV4Abik49zRgPHBEetzJbVyrpeMvSLcTgP2B3UhWFc86Dnh35pyjgMdJ5pq8KY1tPPAu4FzgPyXtlh77BvBpYBBwKvA5SR9vI1Yi4oiI2C0idgP+AVgGLJY0HLgb+B6wJ/BV4I5MI9tNwCKSxtbvAu2dI7bZZxIRbwATgdVNMUXEauCLwMfT92dfYCNwVUF5he8dJO/1WOCjwGWSTkrT/wk4GhhH8jkdCXyzhTifAz4E7A78C3CDpH0i4mlgKvBwGuegwhO74Pt1OvDfwB7An0nmGe0FDAe+A/xX5th1adkDgQuBH0t6byvvMcAk4HaS79CN2QtHxK3Aw8BPJQ0mGRF0cUSsbyXeTmtEJW1mZmZmZlZ5bnQ1M7OfRsTqiHgV+A1JYxvAOcCMiFgcEW+RzOd9jKTRmXOviIhNEfEi8EDm3Ja0dPw5wH9ExIqI+Gt6rclKF7dKfTsi3oiIv6X7z0fELyKiAbgVGAl8JyLeioh7ga0kDbBExLyIeCIiGiPiceBmkobIkkj6IEkD68ciYjNJo+7siJidlnkfsBA4RclK7+OBf05jeZDkfW2Plj6TYj4L/FNE1Kef07eBv2vjvQP4lzTtCeAXQNN0QueQvI/r0kbDfwHOK3bhiLgtjbMxbXj8C0kjbSnK/f16KCLuSYf93wYMTc9/m6Qxd7SkQWncd0fEc5H4A3AvSeNxax6OiF+ldf1bkfzPAx8G5gG/iYjftlFep0Qkc7qWspmZmZmZWeW50dXMzNZmXm8h6WUKSa/JF5oy0sbQDSQ9B1s9V9LSzPDsD7V1fOG10td9gL0zaasK4n458/pvaYyFaU3xHCXpAUnrJb1G0guzxSH/WZJGAjOB8yPi2TR5P+AT6dQCm9Lh8x8k6bG5L7Ax7TWZrU97tPQ+FbMfcFcmjqeBBlp/7wrTXiCJG4p/FvtShKRPK1nNvunah1Hi+1p4nfZ8v1pQ+Nm/kjbIN+3DO9+HiZIWpNMabAJOKSHuYu/hdhGxiaSx9zDgR22UVQaiobFXSZuZmZmZmVWen8TNzKwlq0ka9IDt810OBl5q68SIODQzPPuh9l4LGAVsY8eGtCgp6uJuAmYBIyNid5L5RtvsAihpF+BXwE8iYk4maxXw3xExKLPtGhFXAGuAPdL3K1ufcij2HqwCJhbEsnNEvNTGeSML4msaRl/ss1hNAUn7AdcAlwKD0ykEnuSd97Wtz6vD36/OSOenvQP4IbB3Gvds2o671fpIGgd8hqQX9U/LEWtbPKermZmZmVn1cqOrmZm15CbgQknj0oaqHwB/ioiVXXCtm4G/V7IA1W7ptW4t4wrxA4BXI+JNSUcCnyrxvBnAMxHx7wXpNwCnSzpZUm8lC10dL2lERLxAMtXAv0jql05NcHqZ6vEyMFjpImOpacD300ZQJA2VNKmEsv5ZUn9Jh5LMa3prmn4z8M20nCHAt0jqW2hXkobI9el1LyTp5ZmNdYSkfi1cv5Lfr6x+wE4kcW+TNJFkXtsmxd7jVilZfO4G4Bsk7+VwSZeUL+TmAk8vYGZmZmZWzfq0fYiZmfVEEXG/pH8m6RW4BzAfmNxFl5tBMtz8QWBnkkWQvlDG8i8BfiTpP4E/kEwXMKiE8yYDf5P010zaxIh4KG3Y/HeSRsoG4BHgc+kxnwJ+CbxKssDS9SVer1UR8Yykm4EVknoDhwBXkvTSvFfSviSLRN0K/LqN4v4ALCf5A+wP03lwIZm7diDJImWQDJn/XpFYnpL0I5L6NZLU8Y+ZQ34PLAXWSmqMiCEF51fy+5W97uuSvkjyHdiJZM7cWZn8Yu9xW/4VqI+IqwEknQs8IOm+iPhL2SsBEMm8rmZmZmZmVp0UFXxir6uri4ULF7brnNGX3d0sbeUVp5YrJDOroKaf5+7+GZa0KCLqujUIs26SLlT1PNC3jD2JrcJ2HbtPHPzTz5R07OJTfuB7XoV05FnXzKzcesqz7pgxY+Lyyy/fIe3QQw9l/PjxvP3229x4443Nzhk3bhzjxo1jy5YtzJw5s1l+XV0dhx12GK+99hp33XVXs/xjjjmGgw46iFdeeYXf/rb5mpnHHnss+++/P2vXrmXu3LnN8k888URGjhzJqlWruP/++5vlT5gwgWHDhrFixQoefPDBZvmnnXYaQ4YMYdmyZTz88MPN8s844wx23313nnzySYr9e3TWWWfRv39/lixZwpIlS5rln3POOfTt25dHH32UpUuXNsu/4IILAJg/fz7PPvvsDnl9+/blnHPOAeAPf/gDzz///A75/fv356yzzgLgd7/7HfX19TvkDxw4kDPPPBOAuXPnsnbt2h3yBw8ezOmnJ4PHfvOb37Bhw4Yd8ocNG8aECRMAuPPOO9m8efMO+SNGjOCkk04CYObMmWzZsmWH/DFjxnDccck6uzfeeCNvv/32DvkHHngg73//+wG47rrrKOTvXs/97l144YUt3nPd09XMzMwsZyJdSMvMzMzMzKqTe7qaWcW4p6tZ93NP19rQf+y+MfbHF5V07OOnf8/3vApxT1czqwY95VnX91wzqwat3XPd09XMzKwHSReq8upKNSC8SJaZmVnNaWxspFcvj2YxqwVudDUzyxFJE0gWTuoNXBsRV3RzSGbWDSLc6GpmZtZemzZt4oYbbmDUqFHU19czbNgwxo0bx7x583jjjTc488wzGT58OFu3bmXOnDmsW7eOxsZGjjvuOA4++GA2bdrEXXfdxdatWwE45ZRTGDlyJCtXrmTevHn079+fdevWse+++3LGGWcg7fhv9aJFi1i8eDENDQ3sueeenHHGGfTt25df/epX7LLLLqxdu5Zhw4Yxfvx4Zs+ezZYtW+jbty+nn3769vk0H3roIRoaGthll10488wz2W233brjrTSzErjR1cwsJ9KV1K8CPgLUA49KmhURTxU7fo89e8W+Izp2m99FO/51/dnH+3eonJpR8MBcbNl4FemREI2NHSsfmj2kl1yW5cbrbHwlIoZ29PxGN7qamZm126uvvsonPvEJTj/9dK655hqeeOIJLrzwwu0NmpMnT+ahhx5izJgxTJo0iTfffJNrrrmG/fffn1133ZXzzjuPPn36sGHDBu644w6mTJkCwNq1a7nkkksYMGAAM2bMYNWqVYwaNWqHa7/73e/mfe97HwC///3vWbx4MUcddRQAGzZs4LzzzqNXr15cf/31nHrqqQwePJj6+nruvvtuzj//fEaNGsVFF12EJBYvXswf//hHTj755Mq+gWZWMje6mpnlx5HA8ohYASDpFmASULTRdd8RfZj52x3bcxpLHFV+aL9ddtg/ed9x7Q62lminnXbYj7feanZMr90GNEtrfP31DpUPoH79OlSW5cfv4vYXOnN+BaflNzMzqxl77LEHe++9NwBDhw5lzJgxSGLvvfdm06ZNADz33HMsW7aM+fPnA7Bt2zZee+01BgwYwJw5c1i7di2SdljFfPjw4QwcOBBge1mFja7r1q3jgQce4M0332Tr1q0ccMAB2/MOOeQQevXqxdatW1m1ahW33Xbb9ryGhgYANm/ezO23385f//pXGhoaGDRoUNnfHzMrHze6mpnlx3BgVWa/Hjgqe4CkKcAUgH2G965cZGZWUYFobOxZ8721Nb2KpHOAr6W7fwU+FxGPSToIuDVz6P7AtyLiJ5L2TPNGAyuBsyJiY1re14GLgAbgixFxT1fVzczMKqd373eekSXRp0+f7a8bMyOLzjrrLIYMGbLDufPmzWPXXXdl6tSpRATf+973ipbbq1evHcpq8utf/5pPfvKTDBs2jCVLlrBy5crtef3SP7hHBDvvvDNTp05tdv6cOXM45phjOOigg7ZPaWBm1atnPa2bmeVbsW6qO/R1i4jpEVEXEXV77OlbvFktixK3WpCZXmUicAhwtqRDCg57HjguIg4HvgtMB4iIZRExLiLGAe8DtgB3pedcBtwfEWOB+9N90rInA4cCE4CfpTGYmVkPcMABB/DII48Q6bCSNWvWAPDmm2+y2267IYnHHntse36p3nrrLQYMGEBDQwNPPPFE0WN22mknBg0axNKlS4GkEXbt2rU7nA/w2GOPdahuZlY57ulqZpYf9cDIzP4IYHVLB696Yje+PPr9ZbnwT1bOb5bW0akKIH/TFRSbTqBQZ6YSKFZ+4fQCpSplqgLwdAW51/MW0mpzepWIyN6oFpDcIwudCDwXEU1TO0wCjk9f/xKYR9JbdhJwS0S8BTwvaXkaw8Nlqo+ZmVWxY489lrlz5zJt2jQigkGDBvGpT32K8ePHM3PmTJ566ilGjx5N375921XuCSecwLXXXsvuu+/OXnvttX1BrkJnnnkmd9999/ZFsw477DCGDRvGcccdx2233cbAgQMZPnw4GzduLEd1zayLtNnoKmkGcBqwLiIOS9NaHIplZmZd5lFgrKQxwEskvbA+1b0hmVm3qZVurKVpc3qVAhcBc4qkTwZuzuzvHRFrACJijaS9MtdbUHC94cUulJ3WpXDuPjOznqRY20FBvkimiTmFZNTBBRGxOJPfG1gIvBQRp3VFjIMGDeKSSy7Zvv/xj3+8aF7fvn05/fTTm50/ePBgPve5z23fP+mkkwAYPXo0o0eP3p5+yimnFL3++PHjGT9+fLP0bByQzDt77rnnNjvu4IMP5uCDDy5atplVn1LGnl5HMqwqq+hQLDMz6zoRsQ24FLgHeBqYGRFLuzcqM+suESppqxFtTq+y/UDpBJJG168VpPcDPgbcVuy8jl4vO63L0KFDix1iZtZTXEfztoOsicDYdJsCXF2Q/yWSZ1wzs5rQZqNrRDwIvFqQPIlkCBbp/z9e3rDMzKyYiJgdEQdGxAER8f3ujsfMukcAjY0qaasRJU2vIulw4FpgUkRsKMieCCyOiJczaS9L2ic9dx9gXXuuZ2Zm72ih7SBrEnB9JBYAgzL34BHAqST3cDOzmtDRVVZ2GIoF7NXSgZKmSFooaeH69es7eDkzMzMz2y6AUGlbbdg+vUraY3UyMCt7gKRRwJ3AeRHxbJEyzmbHqQVIyzg/fX0+8OtM+mRJO6VTuowFHilLTczMeq5iU8U0Td3yE+AfgcYKx2Rm1mW6fCGtiJhOunpsXV1dz5p9zMysRpRrQa4mHV2Yq6csygWlLXTV1YtyFbuGF+WqHu1cMDnXImKbpKbpVXoDMyJiqaSpaf404FvAYOBnybSBbIuIOgBJ/YGPAJ8tKPoKYKaki4AXgU+k5S2VNJNkoa5twOcjoqGLq2lmVuuKTt0iqWke2EWSjm+1AM+jbWY50tFG15cl7ZMuOJAdimVmZmZmldCDGl0hmV4FmF2QNi3z+mLg4hbO3ULSIFuYvgE4sYVzvg94Ghczs/JpaeqWvwM+JukUYGdgoKQbIqLZSlLu1GVmedLR6QVaGoplZmZmZl2utEW0amghLTMzy79ZwKeVOBp4LSLWRMTXI2JERIwmmT7m98UaXM3M8qbNnq6SbgaOB4ZIqgcup4WhWGZmZmZWIe7fY2ZmVaSFtoO+sH1kwmzgFGA5sAW4sHsiNTOrjDYbXSPi7Bayig7FMjMzM7MuFhCN7sVqZmbVo5W2g6b8AD7fxjHzgHnli8rMrPt0+UJaZmZmhcq5MFdHF+WCji/MVWwBq+5YYKqci3JBaQtzdWZRLis3N7qamZmZmVUrN7qamZmZ5ZGnFzAzMzMzq1pudDUzMzPLIze6mpmZmZlVrV7dHYCZmZmZtVMAodK2NkiaIGmZpOWSLiuSf7CkhyW9JemrBXkrJT0haYmkheWroJmZmZlZvrmnq5mZmVkORRl6ukrqDVwFfASoBx6VNCsinsoc9irwReDjLRRzQkS80vlozMzMzMxqhxtdzcws18q5KBfAhcteaJY2qPeWNs/b1NC/WdovDtqvLDFVSikLc3X14mDWDo1lWUjrSGB5RKwAkHQLMAnY3ugaEeuAdZJOLccFzczMzMx6Ak8vYGZmZpZDitI2YIikhZltSqaY4cCqzH59mlaqAO6VtKigXDMzMzOzHs09Xc3MzMzyJmjPQlqvRERdC3nFusu2Z+KCD0TEakl7AfdJeiYiHmzH+WZmZmZmNck9Xc3MzMxyp8RFtNpeSKseGJnZHwGsLjWKiFid/n8dcBfJdAVmZmZmZj2eG13NzMzM8ihK3Fr3KDBW0hhJ/YDJwKxSLi9pV0kDml4DHwWebHc9zMzMzMxqkKcXMDMzyyjn4lcdXZQLmi/MlbdFuawCGjtfRERsk3QpcA/QG5gREUslTU3zp0kaBiwEBgKNkr4MHAIMAe6SBMkz5U0RMbfzUZmZmZmZ5Z8bXc3MzMzyJihl6oDSioqYDcwuSJuWeb2WZNqBQpuBI8oShJmZmZlZjXGjq5mZmVkOqT3LXZmZmZmZWUW50dXMzMwsj9zoamZmZmZWtdzoamZm1kWqdX5Y8Byxlj+SJgBXksw9e21EXFGQfw7wtXT3r8DnIuKxNG8QcC1wGElz9Wci4mFJtwIHpecMAjZFxDhJo4GngWVp3oKImNpFVTMzMzOzGuRGVzMzM7Mc6knTC0jqDVwFfASoBx6VNCsinsoc9jxwXERslDQRmA4cleZdCcyNiL+T1A/oDxARn8xc40fAa5nynouIcV1VJzMzMzOrbW50NTMzM8ubABrLs5BWThwJLI+IFQCSbgEmAdsbXSNifub4BaSLf0kaCBwLXJAetxXYmi1ckoCzgA93WQ3MzMzMrEfp1ZmTJf29pKWSnpR0s6SdyxWYmZmZmbUiStxqw3BgVWa/Pk1ryUXAnPT1/sB64BeS/izpWkm7Fhz/IeDliPhLJm1MevwfJH2opQtJmiJpoaSF69evL7lCZmZmZlbbOtzoKmk48EWgLiIOI5lfa3K5AjMzMzOzlilK22pEsW69RWsn6QSSRtem+V37AO8Fro6I9wBvAJcVnHY2cHNmfw0wKj3+H4Cb0h6zzYOImB4RdRFRN3To0FLrY2ZmZmY1rrPTC/QBdpH0NsncWKs7H5KZmZkVKvfCVx1dmMuLclWR2mlQLUU9MDKzP4Iiz52SDidZMGtiRGzInFsfEX9K928n0+gqqQ9wJvC+prSIeAt4K329SNJzwIHAwnJVyMzMzMxqW4cbXSPiJUk/BF4E/gbcGxH3Fh4naQowBWDUqFEdvZyZVYHRl90NwMorTm2WVpheSjntOaec55uZ1YSe1ej6KDBW0hjgJZLRVZ/KHiBpFHAncF5EPNuUHhFrJa2SdFBELANOJDMXLHAS8ExE1GfKGgq8GhENkvYHxgIruqhuZmZmZlaDOjO9wB4kCxiMAfYFdpV0buFxHnJlZmZmVl6lTi1QK9MLRMQ24FLgHuBpYGZELJU0VdLU9LBvAYOBn0laIinbK/ULwI2SHgfGAT/I5E1mx6kFIFl463FJj5H0jJ0aEa+Wu15mZmZmVrs6M73AScDzEbEeQNKdwPuBG8oRmJmZmZm1orHYNKe1KyJmA7ML0qZlXl8MXNzCuUuAuhbyLiiSdgdwR8ejNTMzM7OerjONri8CR0vqTzK9wIl4niszMzOziqiVXqxmZmZmZrWoM3O6/knS7cBiYBvwZ2B6uQIzMzPrDr0GDGiWFlu37rj/1lsdLqvx9debpWmnnZpfs8RrdFQ5F7+6Z/WSZmlLt/6tpHN7FZmY9Muj39/ZkHoGN7qamZmZmVWtzvR0JSIuBy4vUyxmZmZmVooamq/VzMzMzKwWdXghLTMzMzPrRlHiZmZmVgGSZkhaJ+nJFvIl6aeSlkt6XNJ70/SRkh6Q9LSkpZK+VNnIzcy6hhtdzczMzHJIjaVtZmZmFXIdMKGV/InA2HSbAlydpm8DvhIR7waOBj4v6ZAujNPMrCLc6GpmZmZmZmZmnRIRDwKvtnLIJOD6SCwABknaJyLWRMTitIzXgaeB4V0fsZlZ1+rUnK5mZma1pthCV+XU0UWzqnlRrpP3HVfW8jq6MFePW5TLUweYmVm+DAdWZfbr07Q1TQmSRgPvAf5UrABJU0h6yTJq1KiuitPMrCzc09XMzMwsb9KFtErZzMzMqoSKpG3/l0rSbsAdwJcjYnOxAiJiekTURUTd0KFDuyhMM7PycE9XMzMzszxyg6qZmeVLPTAysz8CWA0gqS9Jg+uNEXFnN8RmZlZ27ulqZmZmlkdR4mZmZlYdZgGfVuJo4LWIWCNJwM+BpyPiP7o3RDOz8nFPVzMzM7OcEaDG7o7CzMzsHZJuBo4HhkiqBy4H+gJExDRgNnAKsBzYAlyYnvoB4DzgCUlL0rRvRMTsigVvZtYF3OhqZlZlJM0ATgPWRcRhadqewK3AaGAlcFZEbOyuGK001booF3R8Ya6uXpQLyrswV0cX5YIqX5jL87WamVmViYiz28gP4PNF0v+H4vO9mpnlmqcXMDOrPtcBEwrSLgPuj4ixwP3pvpn1ZJ5ewMzMzMysarnR1cysykTEg8CrBcmTgF+mr38JfLySMZlZFXKjq5mZmZlZ1fL0AmZm+bB3RKwBSBcc2KvYQZKmAFMAdqZ/BcMzs0rz9AJmZmZmZtXLPV3NzGpIREyPiLqIqOtL8/k+zayGuKermZmZmVnVck9XM7N8eFnSPmkv132Add0dUK0qZYGpzixg1VFdvSgXdE+9ulo5F+WC5gtzdWZRrsP260QgAWrsxPlmZmZmZtal3NPVzCwfZgHnp6/PB37djbGYWTXoYT1dJU2QtEzScknNFhOUdI6kx9NtvqQjMnmDJN0u6RlJT0s6Jk3/tqSXJC1Jt1My53w9vdYySSdXppZmZmZmVivc09XMrMpIuhk4HhgiqR64HLgCmCnpIuBF4BPdF6GZVYOeNKerpN7AVcBHgHrgUUmzIuKpzGHPA8dFxEZJE4HpwFFp3pXA3Ij4O0n9YIdJr38cET8suN4hwGTgUGBf4HeSDoyIhq6on5mZmZnVHvd0NTOrMhFxdkTsExF9I2JERPw8IjZExIkRMTb9/6vdHaeZdbMy9XQtoQfpwZIelvSWpK+259wyOhJYHhErImIrcAswKXtARMyPiI3p7gJgRBrjQOBY4OfpcVsjYlMb15sE3BIRb0XE88DyNAYzMzMzs5J0qtG1paFaZmZmZtaFSm1wbaPRNdODdCJwCHB22ssz61Xgi0Bhb9BSzi2X4cCqzH59mtaSi4A56ev9gfXALyT9WdK1knbNHHtpOiXBDEl7tPd6kqZIWihp4fr169tRJTMzMzOrZZ2dXqC1oVpmZtaNXmfjK7+L219Id4cAr3RnPJ1Uufg3l3DMmx0qubo+g1LquaPqir9jOl2H3vuUKZJEh5fSEmWbXmB7D1IASU09SLcP24+IdcA6Sae299wyUpG0ou+ApBNIGl0/mCb1Ad4LfCEi/iTpSuAy4J+Bq4HvpmV9F/gR8Jn2XC8ippNMZUBdXV0PmvTBzMzMzFrT4UbXzFCtCyAZqgVsLU9YZmbWWRExtOm1pIURUded8XRG3uOH/Nch7/FDbdQhqx2NrkMkLczsT08bCqF4j86jKE1nzm2vemBkZn8EsLrwIEmHA9cCEyNiQ+bc+oj4U7p/O0mjKxHxcubca4Dftud6ZmZmZmYt6cz0Am0N1QI85MrMzMysS5Q+vcArEVGX2aZnSim5R2cRnTm3vR4Fxkoak46umgzM2iEYaRRwJ3BeRDy7PaCItcAqSQelSSeS9saVlO27fAbwZPp6FjBZ0k6SxgBjgUfKXy0zMzMzq1WdaXRtGqp1dUS8B3iDtNdAVkRMb3rIHzp0aGG2mZmZmXVEeRbS6kyPzor1Bo2IbcClwD3A08DMiFgqaaqkqelh3wIGAz+TtKSgd+8XgBslPQ6MA36Qpv+7pCfS9BOAv0+vtxSYSdI4Oxf4fEQ0dEXdzMzMzKw2dWZO1xaHapmZWdWZ3vYhVS3v8UP+65D3+KE26pCIss3pur0HKfASSQ/ST1Xg3HaLiNnA7IK0aZnXFwMXt3DuEqDZ1BIRcV4r1/s+8P0OhmtmZmZmPVyHG10jYq2kVZIOiohlZIZqmZlZdSkYTpw7eY8f8l+HvMcPtVGHHZSh0TUitklq6kHaG5jR1IM0zZ8maRiwEBgINEr6MnBIRGwudm7nozIzMzMzy7/O9HSFd4Zq9QNWABd2PiQzMzMza4say1NOCT1I15JMHVDSuWZmZmZm1slG15aGapmZmZlZ1yrT9AJmZmZmZtYFOrOQlpmZVTlJEyQtk7RcUi7m3ZY0Q9I6SU9m0vaUdJ+kv6T/36M7Y2yNpJGSHpD0tKSlkr6UpuepDjtLekTSY2kd/iVNz00dACT1lvRnSb9N93MVf6tKXUTLDbNmZmZmZt3Cja5mZjVKUm/gKmAicAhwtqRDujeqklwHTChIuwy4PyLGAvdT3Qs3bgO+EhHvBo4GPp++73mqw1vAhyPiCJKV3idIOpp81QHgSyQr3TfJW/ytc6OrmZmZmVnVcqOrmVntOhJYHhErImIrcAswqZtjalNEPAi8WpA8Cfhl+vqXwMcrGVN7RMSaiFicvn6dpNFvOPmqQ0TEX9PdvukW5KgOkkYApwLXZpJzE39bRDK9QCmbmZmZmZlVnhtdzcxq13BgVWa/Pk3Lo70jYg0kjZrAXt0cT0kkjQbeA/yJnNUhHZq/BFgH3BcReavDT4B/BLLLTeUp/japMUrazMzMzMys8tzoamZWu1QkzS0wFSJpN+AO4MsRsbm742mviGiIiHEkq9YfKemwbg6pZJJOA9ZFxKLujqXLeE5XMzMzM7Oq5kZXM7PaVQ+MzOyPAFZ3Uyyd9bKkfQDS/6/r5nhaJakvSYPrjRFxZ5qcqzo0iYhNwDySeXbzUocPAB+TtJJkWo0PS7qB/MRfEk8vYGZmZmZWvdzoamZWux4FxkoaI6kfMBmY1c0xddQs4Pz09fnAr7sxllZJEvBz4OmI+I9MVp7qMFTSoPT1LsBJwDPkpA4R8fWIGBERo0m+97+PiHPJSfwlc09XMzMzM7Oq1ae7AzAzs64REdskXQrcA/QGZkTE0m4Oq02SbgaOB4ZIqgcuB64AZkq6CHgR+ET3RdimDwDnAU+kc6ICfIN81WEf4JeSepP8gXZmRPxW0sPkpw7F5OkzaJN7sZqZmZmZVS83upqZ1bCImA3M7u442iMizm4h68SKBtJBEfE/FJ9PF/JTh8dJFgArTN9ATurQJCLmkUyPkMv4W+VGVzMzMzOzquXpBczMzMzyJkCNpW1mZmaVIGmGpHWSnmwhX5J+Kmm5pMclvTeTN0HSsjTvsspFbWbWddzoamZmZpYzwgtpmZlZ1bmOZOHNlkwExqbbFOBqgHQ6o6vS/EOAsyUd0qWRmplVgBtdzczMzPIoorTNzMysAiLiQeDVVg6ZBFwfiQXAIEn7AEcCyyNiRURsBW5JjzUzyzU3upqZmZnlkHu6mplZzgwHVmX269O0ltKbkTRF0kJJC9evX99lgZqZlYMbXc3MzMzyJtqxmZmZVYdiC41GK+nNEyOmR0RdRNQNHTq0rMGZmZWbG13NzMzMcqinLaTV1iIrks5JF2Z5XNJ8SUdk8gZJul3SM5KelnRMmv5/07THJd0laVCaPlrS3yQtSbdpFauomVntqgdGZvZHAKtbSTczyzU3upqZmZnlUE9qdC1xkZXngeMi4nDgu8D0TN6VwNyIOBg4Ang6Tb8POCw951ng65lznouIcek2teyVMjPreWYBn1biaOC1iFgDPAqMlTRGUj9gcnqsmVmu9enuAMzMzMysnYKetkjW9kVWACQ1LbLyVNMBETE/c/wCkp5SSBoIHAtckB63Fdiavr634Jy/67IamJnVOEk3A8cDQyTVA5cDfQEiYhowGzgFWA5sAS5M87ZJuhS4B+gNzIiIpRWvgJlZmXW60TXtebAQeCkiTut8SGZmZmbWlh62SFaxRVaOauX4i4A56ev9gfXAL9IpBxYBX4qINwrO+Qxwa2Z/jKQ/A5uBb0bEQ8UuJGkKMAVg1KhRpdXGzKwGRcTZbeQH8PkW8maTNMqamdWMckwv8CXeGaJlZmZmZpXQsxbSKnmRFUknkDS6fi1N6gO8F7g6It4DvAFcVnDOPwHbgBvTpDXAqPT4fwBuSnvMNg/Ci7qYmZmZWRGdanSVNAI4Fbi2POGYmZmZWVtE0tO1lK1GlLTIiqTDSZ5LJ0XEhsy59RHxp3T/dpJG2KZzzgdOA85Je2EREW81nR8Ri4DngAPLWiMzMzMzq2md7en6E+AfgRaXaZA0RdJCSQvXr1/fycuZmZmZGRGosbStRrS5yIqkUcCdwHkR8WxTekSsBVZJOihNOpF0LlhJE0h6xH4sIrZkyhqaTqGFpP2BscCKrqqcmZmZmdWeDs/pKuk0YF1ELJJ0fEvHRcR00tVj6+rqaubJ38zMzKxb9aCnqpYWWZE0Nc2fBnwLGAz8TBLAtoioS4v4AnBj2mC7gnTxFuA/gZ2A+9JzFkTEVJKFt74jaRvQAEyNiFcrUFUzMzMzqxGdWUjrA8DHJJ0C7AwMlHRDRJxbntDMzMzMrCU1NHVASYotspI2tja9vhi4uIVzlwB1RdLf1cLxdwB3dCJcMzMzM+vhOjy9QER8PSJGRMRokiFev3eDq5mZmVkFBNAYpW1mZmZmZlZxnenpamZmZmbdxe2pVWfDhg1cd911O6QdeuihjB8/nrfffpsbb7yx2Tnjxo1j3LhxbNmyhZkzZzbLr6ur47DDDuO1117jrrvuapZ/zDHHcNBBB/HKK6/w29/+tln+sccey/7778/atWuZO3dus/wTTzyRkSNHsmrVKu6///5m+RMmTGDYsGGsWLGCBx98sFn+aaedxpAhQ1i2bBkPP/xws/wzzjiD3XffnSeffJKFCxc2yz/rrLPo378/S5YsYcmSJc3yzznnHPr27cujjz7K0qVLm+VfcMEFAMyfP59nn312h7y+fftyzjnnAPCHP/yB559/fof8/v37c9ZZZwHwu9/9jvr6+h3yBw4cyJlnngnA3LlzWbt27Q75gwcP5vTTTwfgN7/5DRs2bNghf9iwYUyYMAGAO++8k82bN++QP2LECE466SQAZs6cyZYtW3bIHzNmDMcddxwAN954I2+//fYO+QceeCDvf//7AZp978DfvZ783TMzs+pQlkbXiJgHzCtHWWZmZmbWtp42vYCZmZmZWZ4oonJP7HV1dVHsr4ytGX3Z3c3SVl5xarlCMrN2aPp5zP4MZn9G2/rZLNfPc3uuWYykRZnFVczMcmfA7iOi7ugvlHTsvHsv8z2vQjryrJsHjY2N9OrV4VnJzKzCesqzbq3ec80sX1q753p6ATMzM7O8CTy9QI3YtGkTN9xwA6NGjaK+vp5hw4Yxbtw45s2bxxtvvMGZZ57J8OHD2bp1K3PmzGHdunU0NjZy3HHHcfDBB7Np0ybuuusutm7dCsApp5zCyJEjWblyJfPmzaN///6sW7eOfffdlzPOOANJO1x/0aJFLF68mIaGBvbcc0/OOOMM+vbty69+9St22WUX1q5dy7Bhwxg/fjyzZ89my5Yt9O3bl9NPP3370O6HHnqIhoYGdtllF84880x222237ngrzczMzKqKG13NzMzMckaAKjhaybrWq6++yic+8QlOP/10rrnmGp544gkuvPDC7Q2akydP5qGHHmLMmDFMmjSJN998k2uuuYb999+fXXfdlfPOO48+ffqwYcMG7rjjDqZMmQLA2rVrueSSSxgwYAAzZsxg1apVjBo1aodrv/vd7+Z973sfAL///e9ZvHgxRx11FJDMUXveeefRq1cvrr/+ek499VQGDx5MfX09d999N+effz6jRo3ioosuQhKLFy/mj3/8IyeffHJl30AzMzOzKuRGVzMzM7M8aixPMZImAFcCvYFrI+KKgnyl+acAW4ALImJxmrcSeB1oALb1hOGsXWGPPfZg7733BmDo0KGMGTMGSey9995s2rQJgOeee45ly5Yxf/58ALZt28Zrr73GgAEDmDNnDmvXrkXSDgvqDB8+nIEDBwJsL6uw0XXdunU88MADvPnmm2zdupUDDjhge94hhxxCr1692Lp1K6tWreK2227bntfQ0ADA5s2buf322/nrX/9KQ0MDgwYNKvv7Y2ZmZpZHbnQ1MzMzy6Fy9HSV1Bu4CvgIUA88KmlWRDyVOWwiMDbdjgKuTv/f5ISIeKXTwfRgvXv33v5aEn369Nn+urHxndb1s846iyFDhuxw7rx589h1112ZOnUqEcH3vve9ouX26tVrh7Ka/PrXv+aTn/wkw4YNY8mSJaxcuXJ7Xr9+/QCICHbeeWemTp3a7Pw5c+ZsX8W+aUoDMzMzMwPPiG9mZmaWN9GOrXVHAssjYkVEbAVuASYVHDMJuD4SC4BBkvYpU02sRAcccACPPPIITYvgrlmzBoA333yT3XbbDUk89thjtHeR3LfeeosBAwbQ0NDAE088UfSYnXbaiUGDBrF06VIgaYRdu3btDucDPPbYYx2qm5mZmVktck9XMzMzs9wJ1FiWOV2HA6sy+/Xs2Iu1pWOGA2tImnXvlRTAf0XE9HIEZc0de+yxzJ07l2nTphERDBo0iE996lOMHz+emTNn8tRTTzF69Gj69u3brnJPOOEErr32WnbffXf22muv7QtyFTrzzDO5++67ty+addhhhzFs2DCOO+44brvtNgYOHMjw4cPZuHFjOaprZmZmlntudDUzMzPLo9J7NA6RtDCzPz3TOKoixxcW3NoxH4iI1ZL2Au6T9ExEPFhqYAaDBg3ikksu2b7/8Y9/vGhe3759Of3005udP3jwYD73uc9t3z/ppJMAGD16NKNHj96efsoppxS9/vjx4xk/fnyz9GwckMw7e+655zY77uCDD+bggw8uWraZmZlZT+ZGVzMzM7O8CVDpC2m90soCV/XAyMz+CGB1qcdERNP/10m6i2S6Aje6mpmZmVmP5zldzczMzPIoorStdY8CYyWNkdQPmAzMKjhmFvBpJY4GXouINZJ2lTQAQNKuwEeBJ8tbSTMzMzOzfHJPVzMzM7M8KsOUrhGxTdKlwD1Ab2BGRCyVNDXNnwbMBk4BlgNbgAvT0/cG7pIEyTPlTRExt/NRmZmZmZnlnxtdzczMzHJIjaXPL9CaiJhN0rCaTZuWeR3A54uctwI4oixBmJmZmZnVGDe6mpmZmeVNAOVpczUzMzMzsy7gRlczMzOznBGB2p6v1czMzMzMuokX0jIzMzPLo/IspJUbkiZIWiZpuaTLiuSfI+nxdJsv6YhM3iBJt0t6RtLTko5J0/eUdJ+kv6T/3yNzztfTay2TdHJlamlmZmZmtcKNrmZmZmZ51IMaXSX1Bq4CJgKHAGdLOqTgsOeB4yLicOC7wPRM3pXA3Ig4mGQe2qfT9MuA+yNiLHB/uk9a9mTgUGAC8LM0BjMzMzOzkrjR1czMzCxvmuZ0LWWrDUcCyyNiRURsBW4BJmUPiIj5EbEx3V0AjACQNBA4Fvh5etzWiNiUHjcJ+GX6+pfAxzPpt0TEWxHxPLA8jcHMzMzMrCQdbnSVNFLSA+kQraWSvlTOwMzMzMysZWpsLGmrEcOBVZn9+jStJRcBc9LX+wPrgV9I+rOkayXtmubtHRFrANL/79Xe60maImmhpIXr169vT53MzMzMrIZ1pqfrNuArEfFu4Gjg80WGeZmZmZlZ2ZU4tUCNTC8AqEha0cpJOoGk0fVraVIf4L3A1RHxHuAN0mkEynG9iJgeEXURUTd06NA2ijUzq10lzL29h6S70rm3H5F0WCbv79POXE9KulnSzpWN3sys/Drc6BoRayJicfr6dZK5sVrrcWBmZmZm5RD0tEbXemBkZn8EsLrwIEmHA9cCkyJiQ+bc+oj4U7p/O0kjLMDLkvZJz90HWNee65mZWaLEube/ASxJ597+NMl820gaDnwRqIuIw4DeJPNqm5nlWlnmdJU0GngP8KcieR5yZWZmZlZuPWtO10eBsZLGSOpH8sv4rOwBkkYBdwLnRcSzTekRsRZYJemgNOlE4Kn09Szg/PT1+cCvM+mTJe0kaQwwFnik/NUyM6sZbc69TdIYez9ARDwDjJa0d5rXB9hFUh+gP/5Dl5nVgE43ukraDbgD+HJEbC7M95ArMzMzs/JTRElbLYiIbcClwD0ko6tmRsRSSVMlTU0P+xYwGPiZpCWSFmaK+AJwo6THgXHAD9L0K4CPSPoL8JF0n4hYCswkaZydC3w+Ihq6so5mZjlXylzYjwFnAkg6EtgPGBERLwE/BF4E1gCvRcS9xS7iTl1mlid9OnOypL4kDa43RsSd5QnJzMzMzNpUIw2qpYqI2cDsgrRpmdcXAxe3cO4SoK5I+gaSnq/Fzvk+8P2OR2xm1qOUMhf2FcCVkpYATwB/BrZJ2oOkV+wYYBNwm6RzI+KGZgVGTAemA9TV1fWsfwjNLHc63OgqScDPgacj4j/KF5KZmZmZtSoCGmpn7gAzM8u9NufCTkfGXgjb2xOeT7eTgecjYn2adyfwfqBZo6uZWZ50ZnqBDwDnAR9Oh3AtkXRKmeIyMzMzs9b0rIW0atKiFzZy1QPLWfTCxlyU25VlV3vMLZXR2bK7qtzuiLkc8lh2HmPuIqXMvT0ozYNkZMKDaUPsi8DRkvqnjbEnkkwlY2aWax3u6RoR/0PxIQRmZmZm1tXcoJpri17YyDnXLmDrtkb69enFjRcfzfv226Nqy+3Ksqs95pbK6GzZXVVud8RcDnksO48xd5WI2Capae7t3sCMprm30/xpwLuB6yU1kMyZfVGa9ydJtwOLgW0k0w5M74ZqmJmVVacX0jIzMzOzCgugMUrbrCotWLGBrdsaaQx4e1sjC1ZsqOpyu7Lsao+5pTI6W3ZXldsdMZdDHsvOY8xdKSJmR8SBEXFAOi82ETGtaf7tiHg4IsZGxMERcWZEbMyce3maflhEnBcRb3VXPczMysWNrmZmZma5ExCNpW1WlY7efzD9+vSit6Bvn14cvf/gqi63K8uu9phbKqOzZXdVud0Rcznksew8xmxmZpXT4ekFzMzMzKybBF5IK+fet98e3Hjx0SxYsYGj9x9ctmHDXVVuV5bdXTEvemFjs/RiaS2V0VJ6sTKKpbe33GqOuas/q2otO48xm5lZ5bjR1czMzCyPPKdr7jU1YuWl3K4su9IxF5svE2hxDs2W4itMb+9cqqWWm4eYyyGPZecxZjMzqwxPL2BmZmaWRxGlbWbWTLH5Mqt5LtW8xmxmZtaTuaermZmZWe64QdWsM5rmy3x7W+MO82UWSytHuS2l13rMZmZmPZkbXc3MzMzyJoBGz+lq1lEtzZfZ2Tk0OzJPay3HbGZm1pO50dXMzMwsj9zT1axTis2XWY45NNszT2s5yq72mM3MzHoqz+lqZmZmljsBDY2lbZY7i17YyFUPLGfRCxtbTStHuV1ZdrXHbJWRx+9GHmM2q3aV+J539TXyXr5Vnnu6mpmZmeVNQIQbVGtRe1eo70y5ra1QX+sxW2Xk8buRx5jNql0lvuddfY28l2/dwz1dzczMzPKoMUrbLFfyuEJ9HmO2ysjjdyOPMZtVu0p8z7v6Gnkv37qHe7qamZmZ5ZHndK1JeVyhPo8xW2Xk8buRx5jNql0lvuddfY28l2/dQ1HBB/a6urpYuHBhu84ZfdndzdJWXnFquUIys3Zo+nnM/gxmf0bb+tks189ze65ZjKRFEVHX7hPNzKrE7r2HxDG7faykY+/Z/Avf8yqkI8+6xSx6YWOzFeOLpZWj3K4su9pjtsrI43cjjzFn9ZRn3XLdc60yKnHf7upr5L186xqt3XPd09XMzMwsj9zTtWblcYX6PMZslZHH70YeYzardpX4nnf1NfJevlWe53Q1MzMzy50gGhpK2mqFpAmSlklaLumyIvnnSHo83eZLOiKTt1LSE5KWSFqYSb81TVuSHrMkTR8t6W+ZvGkVqaSZmZmZ1Qz3dDUzMzPLm6BHLZIlqTdwFfARoB54VNKsiHgqc9jzwHERsVHSRGA6cFQm/4SIeCVbbkR8MnONHwGvZbKfi4hx5a2JmZmZmfUUbnQ1MzMzy6No7O4IKulIYHlErACQdAswCdje6BoR8zPHLwBGlFq4JAFnAR8uS7RmZmZm1uN1anqBtoZ5mZmZmVn5BRCNUdLWlhKG7UvST9P8xyW9t9Rzy2g4sCqzX5+mteQiYE5mP4B7JS2SNKXI8R8CXo6Iv2TSxkj6s6Q/SPpQSxeSNEXSQkkL169f33ZNzMzMzKxH6HBP1xKHeZmZmZlZuUWUpadric9zE4Gx6XYUcDVwVIWfBVUkrWiLsqQTSBpdP5hJ/kBErJa0F3CfpGci4sFM/tnAzZn9NcCoiNgg6X3AryQdGhGbmwURMZ1kKgPq6up6zpwPZmZmZtaqzvR03T7MKyK2Ak3DvMzMzMysi5VpIa1SnucmAddHYgEwSNI+JZ5bLvXAyMz+CGB14UGSDgeuBSZFxIam9IhYnf5/HXBXGnvTOX2AM4FbM8e/1XR+RCwCngMOLGN9zMzMzKzGdWZO12LDvI4qPCgdwtU0jOuvkpa1UN4Q4JUW8nYs89/aEWVllVyHKuY6dL+qj7+ln8FMesV+njt4/n6du6qZWfd6nY33/C5uH1Li4TtLWpjZn572zoTSnudaGtpf0rNgmTwKjJU0BngJmAx8KnuApFHAncB5EfFsJn1XoFdEvJ6+/ijwncypJwHPRER95pyhwKsR0SBpf5JevivaCnLRokWvSHqhnXWr+n/3O6nW6we1X0fXL396xLNuD73nOv7ul/c6OP7ya/Ge25lG15KGeWWHXLVamLQwIuo6EU+3cx2qQ97rkPf4oTbqYGZWzSJiQpmKKuV5rqVjSh7y31kRsU3SpcA9QG9gRkQslTQ1zZ8GfAsYDPwsWReLbem/RXsDd6VpfYCbImJupvjJ7Di1AMCxwHckbQMagKkR8WoJcQ5tb91q/d/MWq8f1H4dXT+rVj3xnuv4u1/e6+D4K6szja4lDfMyMzMzs6pVyvNcS8f0K+HcsomI2cDsgrRpmdcXAxcXOW8FcEQr5V5QJO0O4I5OhGtmZmZmPVxn5nTdPsxLUj+SXgKzyhOWmZmZmVVAKc9zs4BPK3E08FpErCnxXDMzMzOzHqnDPV1bGubViVjanIIgB1yH6pD3OuQ9fqiNOpiZ1bwSh+3PBk4BlgNbgAtbO7cbqpF3tf5vZq3XD2q/jq6f1ZK8f96Ov/vlvQ6Ov4IU0SVTb5mZmZmZmZmZmZn1SJ2ZXsDMzMzMzMzMzMzMCrjR1czMzMzMzMzMzKyMurzRVdIEScskLZd0WZF8Sfppmv+4pPeWem6ldLIOKyU9IWmJpIWVjXyHGNuqw8GSHpb0lqSvtufcSulkHfLyOZyTfocelzRf0hGlnlspnaxDVXwOZmZm3a1a/l0vJ0kzJK2T9GQmbU9J90n6S/r/Pbozxs6QNFLSA5KelrRU0pfS9Jqoo6SdJT0i6bG0fv+SptdE/ZpI6i3pz5J+m+7XVP2sZXm+77Z0/8mbwp+/PJE0SNLtkp5JP4djujum9pD09+l350lJN0vaubtjakstPFd0aaOrpN7AVcBE4BDgbEmHFBw2ERibblOAq9txbpfrTB0yToiIcRFR19XxFlNiHV4Fvgj8sAPndrnO1CEjD5/D88BxEXE48F3SSaJz9jkUrUNGt34OZmZm3a1a/l3vAtcBEwrSLgPuj4ixwP3pfl5tA74SEe8GjgY+n35utVLHt4APR8QRwDhggqSjqZ36NfkS8HRmv9bqZ0XUwH23pftP3hT+/OXJlcDciDgYOIIc1UPScJK2krqIOIxkAdTJ3RtVSa4j588VXd3T9UhgeUSsiIitwC3ApIJjJgHXR2IBMEjSPiWeWwmdqUO1aLMOEbEuIh4F3m7vuRXSmTpUi1LqMD8iNqa7C4ARpZ5bIZ2pg5mZmSWq5d/1soqIB0n+CJ41Cfhl+vqXwMcrGVM5RcSaiFicvn6d5Bfu4dRIHdPfZf6a7vZNt6BG6gcgaQRwKnBtJrlm6metyvV9t5X7T2608POXC5IGAscCPweIiK0Rsalbg2q/PsAukvoA/YHV3RxPm2rhuaKrG12HA6sy+/U0vzG0dEwp51ZCZ+oAyYPKvZIWSZrSZVG2rjPvZZ4+h9bk8XO4CJjTwXO7SmfqANXxOZiZmXW3avl3vRL2jog1kDQaAHt1czxlIWk08B7gT9RQHdOhv0uAdcB9EVFT9QN+Avwj0JhJq6X6Wctq5r5bcP/Jk5/Q/OcvL/YH1gO/SKdHuFbSrt0dVKki4iWSEcEvAmuA1yLi3u6NqsNydc/u6kZXFUmLEo8p5dxK6EwdAD4QEe8lGcbweUnHljO4EnXmvczT59CaXH0Okk4gabD8WnvP7WKdqQNUx+dgZmbW3arl33XrAEm7AXcAX46Izd0dTzlFRENEjCMZqXSkpMO6OaSykXQasC4iFnV3LNYtauK+m9f7Tw38/PUB3gtcHRHvAd6gyoe1Z6Xznk4CxgD7ArtKOrd7o+oZurrRtR4YmdkfQfMuzC0dU8q5ldCZOhARTf9fB9xFMqyh0jrzXubpc2hRnj4HSYeTDLmYFBEb2nNuBXSmDtXyOZiZmXW3avl3vRJebpp2K/3/um6Op1Mk9SVp8LgxIu5Mk2uqjgDpsNl5JHPp1Ur9PgB8TNJKkqHlH5Z0A7VTP2td7u+7Ldx/8qKln7+8qAfq097/ALeTNMLmxUnA8xGxPiLeBu4E3t/NMXVUru7ZXd3o+igwVtIYSf1IJuqdVXDMLODTShxN0s15TYnnVkKH6yBpV0kDANKu5x8FnqTyOvNe5ulzKCpPn4OkUSQ3wPMi4tn2nFshHa5DFX0OZmZm3a1a/l2vhFnA+enr84Ffd2MsnSJJJPP5PR0R/5HJqok6ShoqaVD6eheSX9KfoUbqFxFfj4gRETGa5Gfu9xFxLjVSP2tTru+7rdx/cqGVn79ciIi1wCpJB6VJJwJPdWNI7fUicLSk/ul36URytBBYgVzds/t0ZeERsU3SpcA9JKujzYiIpZKmpvnTgNnAKcByYAtwYWvndmW85a4DsDdwV/Kdpg9wU0TMrXAVSqqDpGHAQmAg0Cjpy8AhEbE5L59DS3UAhpCTzwH4FjAY+Fka77aIqMvZz0PROlAlPw9mZmbdrVr+XS83STcDxwNDJNUDlwNXADMlXUTyS98nui/CTvsAcB7wRDrvKcA3qJ067gP8Uskq772AmRHxW0kPUxv1a0mtfH7Wihq47xa9/0TE7O4Lqcf5AnBj2mi/gnfafapeRPxJ0u3AYmAb8GdgevdG1bZaeK5QRO6mMTEzMzMzMzMzMzOrWl09vYCZmZmZmZmZmZlZj+JGVzMzMzMzMzMzM7MycqOrmZmZmZmZmZmZWRm50dXMzMzMzMzMzMysjNzoamZmZmZmZmZmZlZGbnQ1MzMzMzMzMzMzKyM3upqZmZmZmZmZmZmV0f8PE44yhocIrqYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1728x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_interpolation_matrix(weights):\n",
    "\n",
    "    fig, axes = plt.subplots(1, 4, figsize=(24, 4))\n",
    "    axes[0].hist(weights.data, bins=100)\n",
    "    axes[0].set_title('histogram of overlaping areas')\n",
    "    im = axes[1].imshow(weights.toarray())\n",
    "    fig.colorbar(im, ax=axes[1])\n",
    "    axes[1].set_title('non-normalized interpolation matrix')\n",
    "\n",
    "    def plot_area(area, name, ax):\n",
    "        ax.plot(area, '.')\n",
    "        assert np.allclose(area.mean(), 4*np.pi / len(area))\n",
    "        ax.axhline(area.mean(), ls='--', c='grey')\n",
    "        ax.text(0, area.mean(), 'mean area', c='grey', va='top')\n",
    "        ax.set_title(f'{name} pixel areas')\n",
    "\n",
    "    area_src = weights.sum(0)\n",
    "    area_dst = weights.sum(1)\n",
    "    plot_area(area_src.T, 'source', axes[2])\n",
    "    plot_area(area_dst, 'destination', axes[3])\n",
    "\n",
    "plot_interpolation_matrix(weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Close to the 4x 0.25 of average pooling on HEALPix with pixels subdivided into 4 (not Voronoi).\n",
    "* Almost all ones, because most pixels are simply included in a parent.\n",
    "  That is true of the true HEALPix pixels, less so for Voronoi."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7fc96d902a90>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n",
    "im = axes[0].imshow(pool.toarray())\n",
    "fig.colorbar(im, ax=axes[0])\n",
    "im = axes[1].imshow(unpool.toarray())\n",
    "fig.colorbar(im, ax=axes[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## When is interpolation invertible?\n",
    "\n",
    "* Unpooling then pooling can be non-destructive (no loss of information).\n",
    "    * `pool @ unpool = I` when the bipartite interpolation graph is disconnected, i.e., parent vertices have disjoint supports.\n",
    "    * In which case `pool` is the [Moore–Penrose inverse](https://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_inverse) of `unpool`.\n",
    "* Pooling then unpooling is necessarily destructive (reduction of degrees of freedom).\n",
    "    * `unpool @ pool` should be a block-diagonal (averaging over pooled vertices) matrix if all pixels are included in a single parent (and properly ordered).\n",
    "    * Should `unpool` be the Moore–Penrose inverse of `pool`?\n",
    "\n",
    "The two above work for true HEALPix pixels (not the Voronoi cells), with pooling `[0.25, 0.25, 0.25, 0.25]` and unpooling `[1, 1, 1, 1]`, because that sampling scheme is exactly hierarchical.\n",
    "\n",
    "Can we use this to evaluate the quality of a coarsening/interpolation or of a (hierarchical) sampling?\n",
    "* Can look at `1 - np.diag(pool @ unpool)` (as the row-sum is one, that is also the sum of off-diagonal elements).\n",
    "* `np.sum(1 - np.diag(pool @ unpool)) / npix` is the fraction of averaged/mixed pixel values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Is invertible:\n",
      "[[1. 0.]\n",
      " [1. 0.]\n",
      " [0. 1.]\n",
      " [0. 1.]]\n",
      "[[0.25 0.75 0.   0.  ]\n",
      " [0.   0.   0.75 0.25]]\n",
      "[[1. 0.]\n",
      " [0. 1.]]\n",
      "[[0.25 0.75 0.   0.  ]\n",
      " [0.25 0.75 0.   0.  ]\n",
      " [0.   0.   0.75 0.25]\n",
      " [0.   0.   0.75 0.25]]\n",
      "Is not invertible:\n",
      "[[1.   0.  ]\n",
      " [0.75 0.25]\n",
      " [0.   1.  ]\n",
      " [0.   1.  ]]\n",
      "[[0.25 0.75 0.   0.  ]\n",
      " [0.   0.2  0.6  0.2 ]]\n",
      "[[0.8125 0.1875]\n",
      " [0.15   0.85  ]]\n",
      "[[0.25   0.75   0.     0.    ]\n",
      " [0.1875 0.6125 0.15   0.05  ]\n",
      " [0.     0.2    0.6    0.2   ]\n",
      " [0.     0.2    0.6    0.2   ]]\n"
     ]
    }
   ],
   "source": [
    "def example(weights):\n",
    "    unpool = (weights / weights.sum(0)).T\n",
    "    pool = weights / weights.sum(1)[:, np.newaxis]\n",
    "\n",
    "    print(unpool)\n",
    "    print(pool)\n",
    "\n",
    "    print(pool @ unpool)\n",
    "    print(unpool @ pool)\n",
    "\n",
    "print('Is invertible:')\n",
    "example(np.array([\n",
    "    [1, 3, 0, 0],\n",
    "    [0, 0, 3, 1],\n",
    "]))\n",
    "print('Is not invertible:')\n",
    "example(np.array([\n",
    "    [1, 3, 0, 0],\n",
    "    [0, 1, 3, 1],\n",
    "]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_matrices(mat1, mat2, axes=None):\n",
    "    if sparse.issparse(mat1):\n",
    "        mat1 = mat1.toarray()\n",
    "    if sparse.issparse(mat2):\n",
    "        mat2 = mat2.toarray()\n",
    "    if axes is None:\n",
    "        fig, axes = plt.subplots(1, 2, figsize=(15, 4))\n",
    "    im = axes[0].imshow(mat1)\n",
    "    axes[0].figure.colorbar(im, ax=axes[0])\n",
    "    im = axes[1].imshow(mat2)\n",
    "    axes[1].figure.colorbar(im, ax=axes[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = pool @ unpool\n",
    "\n",
    "# Only if non-destructive.\n",
    "# assert np.allclose(p, np.identity(graph2.N), atol=1e-10)\n",
    "\n",
    "err = np.identity(graph2.N) - p\n",
    "plot_matrices(p.toarray(), err)\n",
    "\n",
    "# Another way to see the error.\n",
    "# pool_pinv = np.linalg.pinv(unpool.toarray())\n",
    "# assert np.allclose(pool_pinv @ unpool, np.identity(graph2.n_vertices), atol=1e-10)\n",
    "# err = pool.toarray() - pool_pinv\n",
    "# plot_matrices(pool_pinv, err)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_inversion_error(pool, unpool, ax=None):\n",
    "    if ax is None:\n",
    "        _, ax = plt.subplots()\n",
    "    # diag = np.diag((pool @ unpool).toarray()\n",
    "    diag = pool.multiply(unpool.T).sum(1)\n",
    "    err = 1 - diag\n",
    "    ax.plot(err, '.')\n",
    "    err = np.sum(err) / len(err)\n",
    "    ax.set_title(f'averaging error per pixel ({err:.1%} overall error)')\n",
    "\n",
    "plot_inversion_error(pool, unpool)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = unpool @ pool\n",
    "\n",
    "def block_diag(blocksize, nblock):\n",
    "    block = np.ones((int(blocksize), int(blocksize))) / blocksize\n",
    "    return sparse.block_diag([block]*nblock)\n",
    "\n",
    "# Only a true error for the original HEALPix pixels. Not the Voronoi ones (which may overlap).\n",
    "err = block_diag(int(graph1.n_vertices / graph2.n_vertices), graph2.n_vertices) - p\n",
    "\n",
    "plot_matrices(p.toarray(), err.toarray())\n",
    "\n",
    "# Another way to see the error.\n",
    "# unpool_pinv = np.linalg.pinv(pool.toarray())\n",
    "# err = unpool.toarray() - unpool_pinv\n",
    "# plot_matrices(unpool_pinv, err)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Laplacian coarsening\n",
    "\n",
    "* And preservation of its action and spectral properties.\n",
    "* See also [Spectrally approximating large graphs with smaller graphs](https://arxiv.org/abs/1802.07510)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# graph1 = pg.graphs.SphereHealpix(subdivisions=8, nest=False, k=20, kernel_width=None)\n",
    "# graph2 = pg.graphs.SphereHealpix(subdivisions=2, nest=False, k=20, kernel_width=None)\n",
    "# weights = build_interpolation_matrix(graph1, graph2)\n",
    "# pool, unpool = build_pooling_matrices(weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_laplacians(L, graph):\n",
    "    fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n",
    "    err = L - graph.L\n",
    "    plot_matrices(L, err, axes)\n",
    "    graph.compute_fourier_basis()\n",
    "    e, U = np.linalg.eigh(L.toarray())\n",
    "    axes[2].plot(graph.e, '.-', label='original')\n",
    "    axes[2].plot(e, '.-', label='reconstructed')\n",
    "    axes[2].legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_matrices(graph1.L, graph2.L)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Processing on a graph of lower or higher resolution.\n",
    "# TODO: a scaling factore is missing.\n",
    "plot_laplacians(pool @ graph1.L @ unpool, graph2)\n",
    "plot_laplacians(unpool @ graph2.L @ pool, graph1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8zz//PHPnzsXdueaaa5g1axYdOnTgnnvu4e9//zv5+fns2rULgNtvv52vf/3rTJw4kccee4zvf//7vPzyywBs3ryZ9957j48//phrrrmG6667jmeeeYYrr7ySn/3sZ5SVlXHgwAEuuugiHnzwQRYtWgQkisWj8Tz88MMnjfv73/8+F198MS+99BJlZWXs37+fe++9l6VLlx7b3syZM1m9evUJn6lFixZMnjyZDz/8kNLSUoYOHRrL4mz/4VKmLC5i/JBu/MvlZ4S67WG926koC0DFmUjMlIc3W+MTwIPAUydp8667jw1rhyLSsIWUn1K5FUaVN3M2sxZAlrsXJ59fAeig0qG9icIMEo+H9p68OEtR7969GTFiBHfccQczZ85kyJDEnQT279/P6tWrWbx4Mddddx35+fkAtG+fuLfV+++/z4svvgjATTfdxE9+8pNj2xw/fjxZWVkMGDCArVu3AnDuuedy6623UlJSwvjx4xk8ePBJ46nJW2+9xVNPJf7ry87Opk2bNuzevfu4NjNnzqzyMxUXF3PttdfSvHlzAK655pqUflaZZuriIg4cKWPC8F5RhyKVqDgTiRGH0M6cufssM+sTysZEpNELKz9VdyuMFG/m3Bl4KXkfpRzgGXf/a+CgMlkKZ7jYOBeevAbKjkB2E/jyH0IZ2tiiRQsgcY3XT3/6U/7pn/7puPUPPPBASve0qtgmLy/v2PPEfC8wcuRIZs2axauvvspNN93Ev/7rv/L1r3+92niq2u6hQ7UbslzdZ/rtb3/bIO7TNXnuBs7o3IohPdtGHYpUopkFRGLEMUo8O6WF5EX3FZbb6rDL881ssZm9ZmYDQ/44ItKApJqfUtqW+3R3P93dT3X3e5LvPXL0hs6e8L3k+rPdfX7y/bXuPii5DDzat9HrORwmToFLfpZ4DKEwq+jKK6/kscceO3Z916ZNm9i2bRuXXnopzz33HDt37gQ4NqzxC1/4ApMnTwbg6aef5sILLzzp9tevX0+nTp341re+xTe+8Q0WLlwIQG5uLiUlJdX269y5MytWrKC8vJyXXnrp2PuXXnopkyZNAqCsrIx9+/bRqlUriouLa/xMI0eO5KWXXuLgwYMUFxczderUWv2sMsHyon0sLtzLhOE9G0Sh2dDozJlIjLhTm5u81nTRfU0WAr3dfb+ZjQFeJnFPIRGRE9QyP0m69RweelF21BVXXMGKFSs4//zzAWjZsiV/+tOfGDhwID/72c+4+OKLyc7OZsiQITzxxBM88MAD3Hrrrdx3333HJgQ5mXfeeYf77ruP3NxcWrZseWxI4m233cY555zD0KFDueeeE+vwe++9l7Fjx9KzZ0/OOuusY4XW7373O2677Tb++Mc/kp2dzaRJkzj//PO54IILOOuss7j66qu57777qvxMQ4cO5atf/SqDBw+md+/eXHTRRWH+KNNi8rwNNMnJ4tohwabNl/phR08Zp0Nra+/n2aV17h/ObI2DA/VvCLM1hiHobI1haAizNb791l0LalNA9Tmrlf9/Lw5Oqe23znivxm0nhzVOq2pCkCrargMKGuKNXbsMbO83PVP33NRQZms8WJYbqH8Ysy0GFXS2xgOlTQLHEHS2xjBmjAw6W+MT5z1Rq9wEqeenVHKTfK6goMDnz59/3HsrVqzgzDPPjCgiSUWm/o4OHilj+H++waX9O/HbCUOiDicaIc9cWpdtmlm1eVBnzkRixEnfkWkz6wJsdXc3s+EkhkHvTMvORSR20pmfRKRupn+0meJDpY13IpD178NT10BZCWRlw1nXQavOiYlyysvBy5LPyyo8L088elny/fLj1x3YAYXzEsMHcpoGHjqs4kwkZkKcSv9ZYBSJa9MKgV8AuXDsgvvrgO+YWSlwEJjg6TzVLiKxE1Z+EpH6MXneBvrmt+C8vu2jDiV9So/Ap7NgxRT46C+JiXEAykvho+cSk+RYFlg2ZGV9/tyyEgVcTes+2/H5bKhlRxJn0FSciTQOjlEe0k2o3f2GGtY/SGKqfRGRGoWZn6Rm7q7JHDJUph7HXLOtmHnrdnPn1f0b/t9OyUFY82aiIFv5Vzi8F5q0TBRN62cnzoBlNwlngpzKs6H2CXYdooozkRhxoMT1z1ZEMo/yU/o0bdqUnTt30qFDh4b/JTtm3J2dO3fStGmwa0/rw+S5G8nJMr48tEfUodSPQ/tg9cxEQbb6dSg5AM3awZlfSiynjILcpuFfc3Z0NtSQtqksKhIrRlnQWUhEROqF8lO69OjRg8LCQrZv3x51KFKFpk2b0qNHZhVAh0vLePHDTVw+oDMdW+XV3CEuDuyCldNhxVT45K3E2auWnWHQDYmCrM+FkF1psqv6mLk0xG2qOBOJEQfKdcG9iGQg5af0yc3NpW/fvlGHITHy+vKt7PrsSMOYCKR4C3w8DZZPgXXvJSbnaNMLzv0WDLgGepybuB4splScicSMjkyLSKZSfhLJTJPnbqR722ZcdFp+/e8s7GGDG+cmzoyVHobNi2HjB4BDh9Pggh8kCrKug6GBDPFVcSYSI+6mI9MikpGUn0Qy04adB3hvzQ5+dPnpZGWFUMCUlyXOXu0thL0bYd+m5PNC2P4x7Fr7edvc5pAVoNwoL01cO3ZUu1Ng9F2JIYsd+zeYgqwiFWciMZK44D6+p+pFpOFSfhLJTH+ev4Esg68UVHEdXOWzXO5waO/nxda+ws+f7y2EvZsSxZiXHb+dvDbQpkdimnmMREYw6HI2dB9W9+A3LUjEiCe2PfRrcNGP6769GFBxJhIrppu8ikiGUn4SyTSlZeX8ZX4ho8/oRNc2zY5fuXEuPPmlxHBBM2jTMzHBxpHi49tl5UDr7on1vc9PFGFteiRet+mRWNe0dYVtVphW/or/FWxoY8jT1MdBeouzVs0pO3donbtf2S14CDOKFgXqH0YMZaPq/jMAKBs5KFD/7FmLA/UPYxtlFwf7DACeHexUtpUFvw9J0BhqvT/QfYTqQWl5FjsOt6xz/7HXzw4cw7TnvhCofxgxbDzQLlD/W9ZdEaj/431mBuofxja+u3F04BiC2nsk86bgToXyk0jmeevjbWwrPsxXz+154sp17yYKMzxxxiy3GQz5x8+Lr9bJx5adUp9gI+Rp5UPfXgzozJlIzJShI9MikpmUn0Qyy+R5G+nUKo9L+nc6cWWXQRwbfpjTFK757/Du+xVmEVUfU99nMGVRkRhxjHJPbRERSadU81NDZWY9zextM1thZsvM7AdVtBllZnvNbFFy+XkUsUrjsHnvQd5ZuY2vFPQgJ7uKr/xbliQeh9+WODvViAqgTKYzZyIxU65jKiKSoRp5fioFfuzuC82sFbDAzF539+WV2r3r7mMjiE8amefmFVLu8NWCKu5tVlYCc38PfUfCmF+nPzipVp2zaCpHiEQkXO5QUp6V0tKYKT+JpF+q+amhcvfN7r4w+bwYWAF0jzYqaazKyp3n5m/kwtPy6dWh+YkNlr8CxUUw4nvpD05OKkiWPHqE6ExgBPA9MxsQTlgiUpXEsKGslJZGTvlJJM1SzU+NgZn1AYYAH1Sx+nwzW2xmr5nZwGr632Zm881s/vbt2+szVGmg3luzg017DjJheBUTgbjD+w9B+1OhX7CJnCR8dc6SOkIkEo0yLKWlMVN+EolGWLnJzK4ys5VmtsbM7qxivZnZA8n1S8xsaKp965uZtQReAH7o7vsqrV4I9Hb3QcB/Ay9XtQ13f9TdC9y9oGPHjvUarzRMk+duoH2LJlw+oPOJKzfOhaKFMOI7kNU4DpjESSi/kRqOEIlISI5OVd2YL7qvLeUnkfRINT/VxMyygYeAq4EBwA1VnPm+GuiXXG4DJtWib70xs1wShdnT7v5i5fXuvs/d9yefTwdyzSw/XfFJ47C9+DCvL9/Kl4d2Jy+niinw5zwETdvAoBvSH5zUKHBxVsMRouNOzR858lnQ3Yk0chrWWBsny08Vc9OhPYeiCVCkQQltWONwYI27r3X3I8BkYFylNuOApzxhDtDWzLqm2LdemJkBfwRWuPtvqmnTJdkOMxtO4nvYznTEJ43HCwsLKS13vnpuFROB7NkAK6bCsJshr+7395T6E2i2xpqOEEHi1DzwKEDr1j2C3/VXpJErb+RDFlOVwhHsY7kp/8x85SaREKSYn/LNbH6F148m/z0e1R3YWOF1IXBepW1U1aZ7in3rywXATcBHZrYo+d5dQC8Ad38EuA74jpmVAgeBCe6u/COhcXf+PG8jw/u057ROVRRfH/w/wBLT50tGqnNxlsoRIhEJV2I2tCqGKMhxlJ9E0q8W+WmHuxecZH1VFV7lAqa6Nqn0rRfu/l41+6/Y5kHgwXTEI43TnLW7+HTHZ9w++rQTVx4uhoVPwYBx0KZH+oOTlAQZ+3T0CNElFW6mOCakuESkCroJdcqUn0TSLMSbUBcCFaeY6wEUpdgmlb4iDdbkeRto1TSHMWd3PXHlomfg8D44X9PnZ7I6nzlL5QiRiIRPwxprpvwkEo2Q8tM8oJ+Z9QU2AROAGyu1mQLcbmaTSQxb3Ovum81sewp9RRqkPQeO8NrSLUw4tyfNmlQ6i11eBnMmQY9zocfJTlxL1AJdcyYi6XV0NjQRkUwTVn5y91Izux2YAWQDj7n7MjP7dnL9I8B0YAywBjgA3HKyvoGDEomBFxdu4khpOROqmghk1V9h96dw6c/TH5jUioozkZjRTIwikqnCyk/JaeanV3rvkQrPHahybFZVfUUaOndn8rwNDOrRhgHdWp/YYM4kaN0Dzrwm/cFJrag4E4kRd6NUxZmIZCDlJ5HoLNywh1Vb9/O//+HsE1duXgLr3oXLfwXZ+uqf6dL7Gyo+QPbbC+vcvWz00MAhXNktWP8ZRYuCx9Aj2Gx7ZSMHRdofIHvW4mAbCGPurICjZzw7+PAbK0v/DMga1hi+nKxy8vP217n/jsPB7xUz9vrZgfpPe+4LgWNYePvvAvW/Zd0VkfYHeLzPzED9dx5uETiGDnnR39Nz75GmkexX+UkkGn+et4HmTbL50qAqvujOeRhyW8DQiekPTGpN5bNIjOiaMxHJVMpPItEoPlTC1MWbGTe4Gy3zKn21L94KHz0PBbdAs7aRxCe1o+JMJGb05UdEMpXyk0j6TVlcxMGSMiYMr2IikHl/gPJSOO/b6Q9M6kTFmUiMHL2PkIhIplF+EonG5Lkb6d+lFYN6tDl+RclBmP9HOP0q6HBqNMFJrenKXZGYKcdSWkRE0k25SSS9lm7ay0eb9jLh3J6YVfr39dFf4MBOOP+70QQndaIzZyIx4g6l5TqmIiKZR/lJJP0mz9tAXk4W1w7pcfwKd3j/Yeh8FvS5KJrgpE5UnInEjIYNiUimUn4SSZ8DR0p55cMixpzdlTbNc49fufZt2L4Cxj0Mlc+oSUZTcSYSI7qmQ0QylfKTSHq9umQzxYdLmXBuzxNXzpkELTrC2delPzAJRMWZSMy4vvyISIZSfhJJn8nzNnJKxxYM79v++BXbV8HqmTDqp5CTF01wUmcaHC4SM5oQREQylXKTSHqs2lrMgvW7q54I5INJkJ0HBd+IJjgJRGfORGLEXdd0iEhmUn4SSZ8/z9tIbrbx5aGVJgI5sAsWPQvnfAVadowmOAlExZlIrBhlmg1NRDKS8pNIOhwuLePFhYVcMaALHVpWGra44AkoPQgjNH1+XKk4E4kZXdMhIplK+Umk/s1YtpXdB0qYMLzSRCBlJTD399D3Yug8MJrgJDAVZyIx4mjYkIhkJuUnkfSYPHcDPdo144JT849fsfwVKC6CL/02krgkHBp/IBInnriuI5VFRCStlJtE6t2rS4qY/clOLjotn6ysCgdD3OH9h6DDaXDa5dEFKIGpOBOJGc3WKCKZSrlJpP689tFm/vnZDwF48cNNLFi/+/OVGz+AooVw3rchS1/v40zDGkVixEO84N7MHgPGAtvc/awq1hvwO2AMcAC42d0XhrJzEWlwwsxPIpKwvfgwry4p4pXFRXy4Yc+x90vLypmzdifDerdLvDHnYWjaFgbfGEmcEp70FmcGlhNglyEMhygbNTRQ/6t6Bf+RvbDhvUD9r73hnED9PSf4kcvyC4LFkPPeksAxlF4YLIYwZL//Udr3GeKwoCeAB4Gnqll/NdAvuZwHTEo+Njg9cg7wX50X1bn/jZ+ODhzDxgPtAvVf9s8PB47hym7nBup/eGabQP1Pbb0jUH+AK5d9JVD/d856OXAMQf8emuccCRzDy/1mBOqfXcd+6Ri2aGbtgT8DfYB1wPXuvruKdleROMCUDfzB3e9Nvv9L4FvA9mTTu9x9er0HLpKifYdKmLF0C1MWF/H3NTsodziza2tuGtGb5+ZvpLSsnNycLEac0iHRYfd6WDEVvvB9aNIi2uAlMJ05E4mZsGZDc/dZZtbnJE3GAU+5uwNzzKytmXV1982hBCAiDU6aZmu8E3jT3e81szuTr/+tYgMzywYeAi4HCoF5ZjbF3Zcnm/xfd78/zKDMrCeJg11dgHLgUXf/XaU2GpEgVTpUUsbbH29jyuIi3vx4G0dKy+nVvjnfG30a1wzqRr/OrQAYP6Q7c9buZMQpHT4/azb3UcBg+Lei+wASGhVnIjGSuKA+5S8/+WY2v8LrR9390VrsrjuwscLrwuR7Ks5E5AS1zE9BjANGJZ8/CbxDpeIMGA6scfe1AGY2OdlvOfWnFPixuy80s1bAAjN7vUJBCI1oRILUrLSsnPfX7uSVRUXMWLqF4sOl5LfM48bhvRg3uBuDe7YlUc9/bljvdp8XZQCHi2HhUzBwPLSpdENqiSUVZyIxU4upqne4e0GAXVW1I821JiLVSjE/BT1w1PnoGXx332xmnapoU9XBpYpF0O1m9nVgPomC6oRhkbWVjOloXMVmtiIZR8XiTCMSGjl358ONe5iyqIhpS4rYsf8IrfJyuOqsLowb3J0Rp7QnJ7sW125++DQc3gcjvld/QUtaBS7OkkMH5gOb3H1s8JBE5GTSOBV1IVDxDpc9gKK07T0g5SaR9EsxP9V44MjM3iAxPLCyn6UYyskOLk0C7k6+vhv4P8CtKW43tZ0nhowPAT6otCqlEQlmdhtwG0CvXr3CDE1OYsH63ScOGQxpm93bNmPNtv28sngTG3cdpElOFped2YlrBnVj1BmdaJpbhys9y8vgg0egx3DoMSyUeCV6YZw5+wGwAmgdwrZE5CQcozx9s6FNIXF0eTKJI857Y3Z0V7lJJI3CzE/ufll168xs69GzTWbWFdhWRbNqDy65+9YK2/o9MC2UoD/fZkvgBeCH7r6v8uoqupxQ0ibPJD4KUFBQoBELabBg/W5u/P0cjpSWk51lfGVYD7q1bRZom0V7DvKXBYWUlid+hQZc2C+fH1x6OlcM7EzrprnBgl71V9j9KVz2i2DbkYwSqDgzsx7AF4F7gB+FEpGInFRY/0ub2bMkrtvIN7NC4BdALoC7PwJMJ3HR+hoSF67fEtKu651yk0g00lRFTAEmAvcmH1+pos08oJ+Z9QU2AROAGwEqDSO8FlgaVmBmlkuiMHva3V+sokmsRyQ0ZHPW7uRIaTkOlJY7z87bWGOf2jDgO6NO5SdX9Q9vo+8/DG16Qv8vhbdNiVzQM2e/BX4CtKquQcVT801pHnB3Io1ciBfcu/sNNax3IK6D2H9LLXJTr+66/FYksPRNCHIv8JyZfQPYAHwFwMy6kZgyf4y7l5rZ7cAMElPpP+buy5L9f21mgxMRsw74pzCCSs7E+Edghbv/pppmcR+R0GCN6Nv+2POmuVk8detwhvYKNrRx4YbdfP2xuZSUJqa+v/TMzkHD/NzmxbD+Pbj8bsjW/2ENSZ1/m2Z29Oa1C8xsVHXtKp6ab53VXqfmRYLSv6KTqktuKhjUVD9VkTCk4V+Su+8ELq3i/SISZ/uPvp5OYgRA5XY31VNoFwA3AR+Z2aLke3cBvZL7jfWIhAbPEn++Y87uwjcuPCWUa86G9+3A098cEfp1bADMmQS5LWDo18PbpmSEIKX2BcA1ZjYGaAq0NrM/ufvXwglNRKqSpiPTcabcJBKRxpyf3P09qr6mrGKbOI9IaNCmLt5MXk4W//Xlc2gV9FqwCk6Y+j4MxVvgo+eh4FZo1jbcbUvk6nzlrrv/1N17uHsfEmO539KXH5H65UB5uaW0NFbKTSLRSDU/iWSa0rJypi3ZzCX9O4VamNWbeX+E8lI4L5QRuZJhNEhVJE4caMRHpkUkgyk/SUzNWbuLHfsPc82gbuFvfONcWPcu9LkIeg4Pvr1P34X3H4ReI6DDqcG3JxknlOLM3d8B3gljWyJycmm8z1nsKTeJpJfyk8TR1MVFtMzLYXT/qu5nXkulh+HALjiwE9b/HWb+f1BWkpi046I7oMNpdd/2zjUw677EWbNNCxKFXxgFn2QUnTkTiRt9+RGRTKX8JDFzuLSM15Zu5ooBnWm6ZcHxZ7nKSuFgstA6Yan8/q7EcqS46h2VlcA7/zu8wMvLErGqOGtwVJyJxIo16gvuRSSTKT9J/MxatYN9h0r5xx5b4YmboOwwYNCkORz5rPqOTVpB8/bJpQPkn554PPq6eQfYvw1m/ixR5GXnwLhJ0PWcuge7eQm88p3k9pokikhpcFScicSNjkyLSKZSfpKYmbq4iHbNcxlcuiRZmAE4dBoIp112fLF1bGkPOXmp7aDroPCuOcvvB217hnsNm2ScWBVnOe8tCbyN0gsDHLEIoT/AtTecHaj/S89OCrj/7wTqD+A50R8dDfr3EMbvMvA23p5cu/YOrtnOMs4zfd8OvI0bPx0daX+AwzPbBOqfd8W6QP0/mdknUH+AU1vvCLyNoIL+PYTxuwy+jTW176L8JDFz4Egpry/fyrVDu5Pd/egE5gY5TeHKe8IpfnoOD7eICnt7knFiVZyJCNRwGx0RkQgpP0l8vLFiGwdLyhKzNO78IPHm8G/B2V9RASSRUXEmEjcaNiQimUr5SWJk6uIiOrfO49w+7eGNp6Hz2TDmvqjDkkauzjehFpGIeIqLiEi6KTdJTOw9WMLfVm5n7DndyN7xMRQthME3Rh2WiM6cicSKbvIqIplK+UliZMayLRwpK08MafzwPsjKgXOujzosEZ05E4kb99QWEZF0U26SuJi6uIjeHZpzTtfmsOTPcPpV0CI/6rBEVJyJxE65pbaIiKSbcpPEwPbiw/x9zQ6+dE43bM0b8Nl2GPK1qMMSAVScicSOeWqLiEi6KTdJHLy2dDPlDl8a1A0WPQ0tOsFpl0cdlgig4kwkXlKdDERfgEQk3ZSbJCamLCrijM6tOKPlIVj1Vxj0VcjWNAySGVScicSKJS64T2UREUkr5SbJfJv2HGT++t1cM7gbfPQclJfCYA1plMyh4kwkbnR0WkQylXKTZLhpi4sAGHt2F/jwaeg+DDr1jzgqkc+pOBOJm/IUFxGRdEtDbjKz9mb2upmtTj62q6bdY2a2zcyW1qW/NExTFhcxqGdbeh9ZDduWweB/jDokkeOoOBOJk6P3EdLQIRHJNKnmp+DuBN50937Am8nXVXkCuCpAf2lgPtm+n2VF+5L3NnsacprCWV+OOiyR46g4E4kZzdYoIpkqTblpHPBk8vmTwPiqGrn7LGBXXftLwzN1cRFmMHZAO/joL9B/LDRrG3VYIsfR1DQicaPCS0QyVWr5Kd/M5ld4/ai7P1qLvXR2980A7r7ZzDrVom8Y/SWG3J0pi4s4r297Ohe9BYf2wBANaZTMo+JMRERE0mmHuxecrIGZvQF0qWLVz+onJGnolhXtY+32z/jmhafAovuhdQ/oe3HUYYmcIL3FWcvmlBacU+fuOe8tCRxC0G2UXlj3+I/ynGBj7q+94TuB+r/07KRA/cOIIYyfY9DfZRh/T2F8jtrSkMXwrT3Sihs/HV3n/s/0fTtwDEG3EST+o05tvSNQ/09m9gnUP++KdYH6hxFDGD/HoL/LMP6ewvgcdRFWfnL3y6rdh9lWM+uaPOvVFdhWy80H7S8xNHVJETlZxpjeDn99Cy76MWRlRx2WyAl0zZlInDhQbqktIiLplGp+Cm4KMDH5fCLwSpr7V6m62SErrB9lZnvNbFFy+XkY+5WalZc70xZv5qJ++bRd/QJ4OQy+MeqwRKqk4kwkbnSfMxHJVOnJTfcCl5vZauDy5GvMrJuZTT/ayMyeBd4HzjCzQjP7xsn6h+AJqp4dsqJ33X1wcvlVSPuVGizcsJtNew5yzaCusOhp6H0BtD8l6rBEqqRrzkRiRsMaRSRTpSM/uftO4NIq3i8CxlR4fUNt+ocQ1ywz6xP2diW4qYuLyMvJ4so2G2HnGrjwR1GHJFItnTkTiRudORORTKXcVJPzzWyxmb1mZgOra2Rmt5nZfDObv3379nTG1+CUlpXz6kebufTMTjRf9izktoAB46IOS6RagYozM2trZs+b2cdmtsLMzg8rMBGphoqzlCg/iURAuelkFgK93X0Q8N/Ay9U1dPdH3b3A3Qs6duyYrvgapDlrd7Fj/xGuHdgWlr4EA6+FvJZRhyVSraBnzn4H/NXd+wODgBXBQxKR6qR6A2oNfQSUn0TSSrnp5Nx9n7vvTz6fDuSaWX7EYTV4UxZvomVeDheXfwBHijURiGS8Ol9zZmatgZHAzQDufgQ4Ek5YIlItzcRYI+UnkYgoP1XLzLoAW93dzWw4iQPkOyMOq0E7XFrGa0u3cMXAzjRZ8t/Qri/0/kLUYYmcVJAzZ6cA24HHzexDM/uDmbWo3KjiuOkjRz4LsDsRAR2dTlGN+alibjq8+1A0UYo0MI05N1U1O6SZfdvMvp1sch2w1MwWAw8AE9y9Af9Eojdr1Q6KD5XylVPLYN27MPgfwXQAQTJbkOIsBxgKTHL3IcBnwJ2VG1UcN92kyQm1m4jUlq45S0WN+alibspr1zSKGEUankacm9z9Bnfv6u657t7D3f/o7o+4+yPJ9Q+6+0B3H+TuI9x9dtQxN3RTFhfRrnkuw/fOAAwGVzmBp0hGCVKcFQKF7v5B8vXzJL4MiUh90TVnqVJ+Ekk35SbJIAeOlPLG8q188azOZC9+Fk4ZBW16RB2WSI3qXJy5+xZgo5mdkXzrUmB5KFGJSPV05qxGyk8iEVFukgzxxoptHCwp48bOG2DvBhjytahDEklJ0JtQ/zPwtJk1AdYCtwQPSUROxsqjjiA2lJ9E0kz5STLFlEVFdGndlDO3TIa8NtD/i1GHJJKSQMWZuy8CCsIJRUQkPMpPIiKN094DJfxt1TZuOzcfWzo1ca1ZbrOowxJJSdAzZyKSbhoWJCKZSvlJMsCMZVsoKXMmtFgApQdhsIY0SnwEvQm1iKRTyBOCmNlVZrbSzNaY2QmzrZrZKDPba2aLksvPw/5IItJAaEIQyRBTFhfRu0Nzeqx/ETr2h+6aD0riQ2fOROImpC83ZpYNPARcTmJ2w3lmNsXdK0+c8a67jw1nryLSoKn4kohtKz7E7E928O/n5WCL5sLld+veZhIrsSrOSi88J/A2ct5bEml/gLLzzw7U33OCJZlrb/hOoP4ALz07KVD/8V/7buAYgv49hPG7DGMbtRbel5/hwBp3XwtgZpOBcWhWw1q78dPRgbfxTN+3I+0PMGrp+ED9T229I1D/T2b2CdQfIO+KdcE28Pd2gWMI+vcQxu8y6Db+XNeOKs4kYq99tIVyh3H2Dlg2nPPVqEMSqRUNaxSJESMxG1oqC5BvZvMrLLdV2lx3YGOF14XJ9yo738wWm9lrZjawXj6YiMReqvlJpD5NWVzEgM7Nab/6Reh3BbTqHHVIIrUSqzNnIo1e7a7Z2OHuJ5utsKpTsJW3vhDo7e77zWwM8DLQL+UIRKTx0DVlErHC3QdYsH43DxZsh6VbYMg/Rh2SSK3pzJlI3IR3E+pCoGeF1z2AouN25b7P3fcnn08Hcs0sP9gHEJEGSzehlghNW7IZgNGH3oDmHaDflRFHJFJ7Ks5E4ia84mwe0M/M+iZv1DwBmFKxgZl1MUtcSW1mw0nkjJ2hfA4RaXhUnEmEpiwq4sLu2bT4dEbiWrOcJlGHJFJrKs5EYiasqfTdvRS4HZgBrACec/dlZvZtM/t2stl1wFIzWww8AExwd329EpEqpWMqfTNrb2avm9nq5GOVs7iY2WNmts3MllZ6/5dmtqnCLULGBI9KorZm236Wb97Hd/M/hLIjMFhDGiWedM2ZSNyEWBolhypOr/TeIxWePwg8GN4eRaRBS8+hmzuBN9393uT9Ge8E/q2Kdk+QyF9PVbHu/7r7/fUXoqTb1MVFmMG5u6dD10HQ5ayoQxKpE505E4kTr9VsjSIi6ZNifgrBOODJ5PMngfFVhuM+C9gVyh4lo7k7UxcXcX2PveRuW6KzZhJrKs5E4ia8a85ERMKVWm6q6TYfNens7psBko+d6hDp7Wa2JDn0MfjN7SRSy4r2sXbHZ9zS4u+Q3QTO/krUIYnUmYY1isSMpqoWkUyVYn6q6TYfmNkbQJcqVv2sDmFVNgm4m0SpeDfwf4BbQ9iuRGTq4iKaZZVx+tbX4IyroXn7qEMSqTMVZyJxo+JMRDJVSPnJ3S+rbp2ZbTWzru6+2cy6Attque2tFbb1e2Ba3SOVqJWXJ4Y0fq/7J2Rt3wmDvxZ1SCKBaFijSJykOqRRBZyIpFv6ctMUYGLy+UTgldp0ThZ0R10LLK2urWS+hRt2U7T3EF/OfgdadoFTL4k6JJFAVJyJxIgR3lT6IiJhSjU/heBe4HIzWw1cnnyNmXUzs2Ozz5rZs8D7wBlmVmhm30iu+rWZfWRmS4DRwL+EEpVEYsriIrrn7KPL1ndh0ATI1qAwiTf9BYvEjAovEclU6chP7r4TuLSK94uAMRVe31BN/5vqLzpJp9KycqZ/tJm7uizCdpTBEA1plPhTcSYSNyrORCRTKT9JGj31/jp27D/MqCYzocdwyO8XdUgigak4E4kbffkRkUzViPOTmT0GjAW2ufsJd0A2MwN+R+Ls3gHgZndfmN4o483d2bLvEB9vLub1FVt59oMNDLJPaH9gLesHf4veUQcoEoL0FmfuWFndM7dnW+AQSi86J9gGQviPJ3vW4uAbCaBs5KDA2xj/te8G6v/GM48FjuHKboMD9S8dPTRwDNlvp/n/VV1PVi9KyrPZfKB1nfu3aXIocAzf2HBhoP47D7cIHMOMgX8JvI0gbll3RfCN/D3YLasWTzszcAhjr58dqH/QvwWA/Lz9AbewpvZdlJ+eAB4Enqpm/dVAv+RyHokp/c9LS2QxdOBIKau27ufjzfv4eEsxK5KPew+WHNfuK9l/46A3YYZ9gdreME8kE+nMmUjcNO4vPyKSyRpxfnL3WWbW5yRNxgFPubsDc8ys7dFbAqQnwsxUXu5s2nPwWPF19HHdzs/w5N9TiybZnNGlFV88pytndmlF/66tOVRSxu1PzeaarPeZ6cMZdrrOm0nDoOJMJGasPOoIRESqpvx0Ut2BjRVeFybfO6E4M7PbIHEiqFevXmkJrrIF63cza9V2hvVux6CebUPZ5sL1u3h9+TZaNM3hwOFSPt5SzMotxew/XAqAGfRu35z+XVozfnB3+ndtxZldWtOjXTOysk4cPTV92EJaLzrAkBGX0at3sLPmIplCxZlIzDTyYUMiksGUn06qqmszqvyJufujwKMABQUFaf+pLli/mwmPvk9JgEtRatK8STZndW/Dl4d2p3/X1vTv0orTO7eiRZNsOLwP9m+D/Wtg81ZYvQ32b02+tzWx7C2k+8HdAPRa8F9w1gXQc3i9xSuSLirOROJEN5gWkUyl/FSTQqBnhdc9gKKIYjmpOWt3cnb5Si7Pns9iP5VWfQso6NM+0Dbnr9vFZ5/O5/ysZWwinxFn9GVUdxKF1tptsGTr5wVYaRXX8WblQMvOiaV1D8jKhYN7AIeyI7DuXRVn0iAEKs7M7F+Ab5JIxx8Bt7h78CvjRaR6+vKTEuUnkQgoP53MFOB2M5tMYiKQvZl6vdnwnDV8q8ndNLGyxBubkksAXwVoUuGN1cmleYdk0dUJep2feDxahFV83rQtZGV93n/jXHjymkRhlt0E+lwULECRDFHn4szMugPfBwa4+0Ezew6YQGK2IhGpB4aGDaVC+Ukk/Rp7fjKzZ4FRQL6ZFQK/AHIB3P0RYDqJafTXkJhK/5ZoIq1Zzoa/k0uiMHMMG3ANnH5VsI2u+iu+fAqG42RhF3wfRv8McprU3LcqPYfDxCmJM2Z9LtJZM2kwgg5rzAGamVkJ0JwMPT0v0pBYeSP+9lM7yk8iadaY85O731DDege+l6ZwAvnbzjYMsWRhltMUzr89ePHT4TRs1UwoO4JlN4H+X6x7YXZUz+EqyqTBqXNx5u6bzOx+YANwEJjp7jMrt6s441BeXpu67k5EQNd0pCiV/HRcburUKv1BijQ0yk8Nwq7PjnBo2yeQA3b+7TDgmnAKIJ3pEklJVs1NqmZm7Ujcs6Mv0A1oYWZfq9zO3R919wJ3L2iSG/wmqSKNnXlqS2OWSn6qmJty2zaPIkyRBke5Kf5eX76Fq7PmcKDjILjyf4VbRPUcDhf9WIWZyEnUuTgDLgM+dfft7l4CvAh8IZywRKRanuLSuCk/iURBuSn25n+4kEFZa2k2+LqoQxFplIIUZxuAEWbW3MwMuBRYEU5YIlIdnTlLifKTSASUm+Jt74ESOm18DQAbOD7aYEQaqToXZ+7+AfA8sJDENNVZJG+YKCL1SGfOaqT8JBIR5aZYe2PFVsbY+3zWcQi07RV1OCKNUqDZGt39FySmihWRdHCw8qiDiAflJ5E0U36KvYUfzuPLWevxIbdFHYpIoxV0Kn0RSaPGfh8hEclcyk/xVnyohA7rX4NssIHXRh2OSKOl4kwkblzffkQkQyk/xdZbH2/japtNcacCWrXpHnU4Io1WkAlBRCQCmhBERDJVOnKTmbU3s9fNbHXysV0VbXqa2dtmtsLMlpnZD2rTvzH6cMEHnJm1kRZDNEujSJTSe+bMDM+2uncvC57Vg+w/EUTgECgbOShQ/+xZiyPtD8E/w5XdBgeOYUbRooAxBA6BstFDg23gredr114X1NeLbCunTZNDde6/90jTEKOpmw55nwXexi3rrgjU//E+M2tuVI/9IfhnGHv97MAxTHsu2F0bwohhx+GWgbdRa+nLT3cCb7r7vWZ2Z/L1v1VqUwr82N0XmlkrYIGZve7uy1Ps36gcOFJK+/XTKc8ysjRLo0ikdOZMJGasPLVFRCTd0pSbxgFPJp8/CYyv3MDdN7v7wuTzYhK30uieav/G5p2V27mK2RR3Ohdad406HJFGTcWZSMyoOBORTJVibso3s/kVltpODdjZ3TdDoggDOp00JrM+wBDgg7r0bwwWzp/N6VmbaDlUQxpFoqYJQUTixNEF9yKSmVLPTzvcveBkDczsDaBLFat+VpuQzKwl8ALwQ3ffV5u+jcWhkjI6rHuVcssiW0MaRSKn4kwkZjTZh4hkqrDyk7tfVu0+zLaaWVd332xmXYFt1bTLJVGYPe3uL1ZYlVL/xmLWym1c4bPZ12U4bVt1jjockUZPwxpF4sZTXERE0i09uWkKMDH5fCLwSuUGZmbAH4EV7v6b2vZvTBYtmM2pWZtpNez6qEMREVScicTK0Zu8aip9Eck0qeanENwLXG5mq4HLk68xs25mNj3Z5gLgJuASM1uUXMacrH9jdLi0jLZrp1JOFtkDx0UdjoigYY0i8eKOlavyEpEMlKb85O47gUureL8IGJN8/h7V3Pymuv6N0ezVO7jcZ7Onywjat8iPOhwRQWfOROJHwxpFJFMpN8XK4nl/o2/WVloVaEijSKbQmTORmNGQRRHJVMpP8VFSVk7rtdMoI5tcDWkUyRgqzkTixAENaxSRTKT8FCtzPtnBZeWz2d3tC+Q3bx91OCKSpGGNInGjYY0ikqmUm2Jjydx36JW1nTYa0iiSUXTmTCRmNGxIRDKV8lM8lJU7rT6ZSik55A78UtThiEgFOnMmEjNW7iktKW3L7CozW2lma8zszirWm5k9kFy/xMyGhv6BRKTBCCs3Sf2au3Ynl5TPZleXC6BZu6jDEZEKVJyJxEmqQxpT+P5jZtnAQ8DVwADgBjMbUKnZ1UC/5HIbMCmETyEiDVEjH3KdwsGuUWa2t8J9134eRZwAH819gx62gzbnakijSKbRsEaRGEnc5DW0bzfDgTXuvhbAzCYD44DlFdqMA55ydwfmmFlbM+vq7pvDCkJEGoaQ81OsVDjYdTlQCMwzsynuvrxS03fdfWzaA6ygvNxpuWYqJeSSpyGNIhkn/cVZlbeETI1nB+h8dPdlwf7jCCOGoMpGDgrUP3vW4sAxBN1G2ejgo+Ou7Bas/4yiRZHHUCflKbfMN7P5FV4/6u6PVnjdHdhY4XUhcF6lbVTVpjvQoIqzHCunQ95nkcaw90jTSPcP0DznSKD+t6y7IlD/x/vMDNQ/jG18d+PowDGMvX52oP7TnvtC5DHUWer5qaFJ5WBXRli4fiejy2azo+uFdG3aJupwRKQSnTkTiZlaHJne4e4FJ9tUFe9V3ngqbUREgMZ75ozUDnYBnG9mi4Ei4A53X1bVxszsNhJDyenVq1eogX4053UKbBcHNaRRJCPpmjOROAnxmjMSXx56Vnjdg8QXhtq2ERFp7NecpXIgayHQ290HAf8NvFzdxtz9UXcvcPeCjh07hhZkebnTfM1USiyXZmdpSKNIJlJxJhIrqc3UmOKMaPOAfmbW18yaABOAKZXaTAG+npy1cQSwV9ebiUjVwptJNoZqPJDl7vvcfX/y+XQg18zy0xciLN6wk1Glf2db54shr1U6dy0iKdKwRpG4CWnYkLuXmtntwAwgG3jM3ZeZ2beT6x8BpgNjgDXAAeCWUHYuIg1T4x3WeOxgF7CJxMGuGys2MLMuwFZ3dzMbTuIA+c50BrlszkyG2B4OaEijSMaqsTgzs8eAscA2dz8r+V574M9AH2AdcL27766/MEUEAAcL8YL75NHb6ZXee6TCcwe+F94ew6X8JJJBQs5PcZLiwa7rgO+YWSlwEJiQzLHpipHma17hsOXR/Kwvpmu3IlJLqQxrfAK4qtJ7dwJvuns/4M3kaxFJB/fUlsbhCZSfRDJHI85N7j7d3U9391Pd/Z7ke48cPeDl7g+6+0B3H+TuI9w9rVNqLivczUUls9nWeSTktUznrkWkFmosztx9FrCr0tvjgCeTz58ExocblohUq3FfdH8c5SeRDKPclLGWvj+djraPtsMnRB2KiJxEXa8563x0UgB332xmnaprWHE62Ly8tnXcnYgcZeWNdNxQ6lLKTxVzU4suLdIYnkjDpfyUmdyd5qumcMjyaHXWmKjDEZGTqPfZGitOB9ukib4AiQTiJG7ymsoiJ1UxNzVtG/0NoEViL9X8JGm3cvNuLiiZzZbOo6FJ86jDEZGTqGtxttXMugIkH7eFF5KIVMdwzFNbGjHlJ5EIpJqfAu/HrL2ZvW5mq5OP7apo09PM3jazFWa2zMx+UGHdL81sk5ktSi4N/lTSsr+/Sgcrpt3wr0YdiojUoK7F2RRgYvL5ROCVcMIRkRppQpCaKD+JRCU9uSmVSX9KgR+7+5nACOB7Zjagwvr/6+6Dk8v0Kvo3KM1WTeGgNaPN2VdHHYqI1KDG4szMngXeB84ws0Iz+wZwL3C5ma0GLk++FpF0UHF2jPKTSIZJT26qcdIfd9/s7guTz4uBFUD3MHYeN2s27+L8I7Mp6jwKcptFHY6I1KDGCUHc/YZqVl0aciwiUpOj13QIoPwkklFSz0/5Zja/wutH3f3RWuwp5UnJAMysDzAE+KDC27eb2deB+STOsDXYeyEue28q42w/aJZGkVio62yNIhIRzYYmIpkqxfy0w90LTrodszeALlWs+lmt4jFrCbwA/NDd9yXfngTcTaKcvBv4P8CttdlunDRbPYXPrDntztGQRpE4UHEmEiuNZ8iiiMRNePnJ3S+rbp2ZbTWzrsmzZtVO+mNmuSQKs6fd/cUK295aoc3vgWmhBJ2B1m3dzXmHZ7Op6yWcnpMXdTgikoJ6n0pfRELk6JozEclMqean4Gqc9MfMDPgjsMLdf1NpXdcKL68FloYRVCZa9t4rtLEDtNcsjSKxkf4zZ0HysoWw++xgG7Gy4P+xZP19SaD+ZSMHRdofIHvW4mD9314YOIay0UMD9b+yW+AQmFG0KFD/7K41tzmBRjWGrtSz2Hm47vdh7JD3WYjR1M3eI8Hv1fbn04KdQLhl3RWR9gd4vM/MQP3z8/YHjmHH4ZaB+o+9fnbgGKY994WAW3i+bt3Sk5/uBZ5LTgC0AfgKgJl1A/7g7mOAC4CbgI/MbFGy313JmRl/bWaDSXwjWQf8U1qijkCzVVPYby3IP+eqqEMRkRRpWKNIzDTye5iJSAZLR35y951UMemPuxcBY5LP36OaQ7ruflO9BpghCrfvouDQbAq7Xk7/nCZRhyMiKdKwRpG40bBGEclUyk0ZY/m7L9PaDurG0yIxozNnInHiDmUa1ygiGUj5KaPkrZrCPmtF50FXRh2KiNSCzpyJxI3OnIlIplJuyghbdu5m2MH32dj5UsjOjTocEakFFWcicaPiTEQylXJTRlg+60Va2iENaRSJIQ1rFIkTB8r15UZEMpDyU8bIW/kKe6w13QYFnwFVRNJLxZlIrDi4rukQkUyk/JQJtu/azZCDc1jT5Yu0zdbXPJG40b9akThxdMG9iGQm5aeMsGLW84y0w7TVkEaRWFJxJhI3umZDRDKV8lPk8la+wi5rQ8/Bl0UdiojUgSYEEYkbTQgiIplKuSlSu3bv4pwDH7C+02WYhjSKxJKKM5FYSbEw0xcgEUk75aaofTzrLzSzI7Q5d0LUoYhIHemwikicOFCuazpEJAMpP0WuycevsMPa0XfIJVGHIiJ1pDNnInGjM2cikqkacW4ys6vMbKWZrTGzO6tYb2b2QHL9EjMbGub+9+7exdkH5rJOQxpFYk3FmUiseGI2tFQWEZG0SjE/NUBmlg08BFwNDABuMLMBlZpdDfRLLrcBk8KMYekL95BnJXjH/mFuVkTSTMWZSJw4uJentIiIpFWK+amBGg6scfe17n4EmAyMq9RmHPCUJ8wB2ppZ1zB2/vG8Nxix8Y+4w1kf/Rcfz3sjjM2KSATSet67uHjTjrffvmv9SZrkAzvSFU9sY3j7z9HHkAn7f+v5yGPIDv7fau9a9yhvuMOCorJ35fYdU0c+dLLcBHH4NxFQ88Ax/D60WOoaQ/DsWNOfQc0xpEkNMQTOj7XPTdCY81N3YGOF14XAeSm06Q5srrwxM7uNxNk1evXqVePOdy9/C8Mxg1wvZffyt+BcTaUvEkdpLc7cvePJ1pvZfHcvSFc8iiFzY4h6/5kSQ5Ua8DUbUakpN0H0fw9R718xKIaUNN78ZFW8V/mHkUqbxJvujwKPAhQUFNT4Q2034BIOr/09uV5KCTm0G6AJQUTiSleMisSJu2ZDE5HM1LjzUyHQs8LrHkBRHdrUSf9zL+NjnmX38rdoN+AS+uusmUhsqTgTiZvGe2RaRDJd481P84B+ZtYX2ARMAG6s1GYKcLuZTSYx5HGvu58wpLGu+p97mYYyijQAmVacPRp1ACiGo6KOIer9Q2bEUInjZWVRB9FYRf33EPX+QTEcpRiqlJ78ZGbtSVxe2AdYB1zv7rsrtWkKzALySHzXed7df5Fq/9py91Izux2YAWQDj7n7MjP7dnL9I8B0YAywBjgA3BJknyLSMJk33qNcIrHTJquDj8gbk1LbmYf+tCAjr0kRkQYp1fwUNDeZ2a+BXe5+b/J+Yu3c/d8qtTGghbvvN7Nc4D3gB+4+J5X+maSgoMDnz58fdRgiEiIzqzYPaip9kbjx8tQWEZF0S09uGgc8mXz+JDD+hDAS9idf5iaXo0eja+wvIhKVjCnOzOwqM1tpZmuSR7LSvf+eZva2ma0ws2Vm9oN0x5CMI9vMPjSzaRHtv62ZPW9mHyd/FudHEMO/JH8HS83s2eTwlPre52Nmts3MllZ4r72ZvW5mq5OP7eo7jpo44OWe0iLhUG46FkekuSkZQ6T5Sbnp5FLNT0C+mc2vsNxWy111PnqtVvKxU1WNkn+zi4BtwOvu/kFt+ouIRCEjijMzywYeAq4GBgA3mNmANIdRCvzY3c8ERgDfiyAGgB8AKyLY71G/A/7q7v2BQemOxcy6A98HCtz9LBJj9yekYddPAFdVeu9O4E137we8mXwdLXedOUsj5abjRJ2bIML8pNyUglTzE+xw94IKywnXz5nZG8kiuPJS+cbOJwnHy9x9MIlZEYeb2VmhfVYRkXqSEcUZMBxY4+5r3f0IMJnEsIO0cffN7r4w+byYxH/63dMZg5n1AL4I/CGd+62w/9bASOCPAO5+xN33RBBKDtDMzHJI3Bc3lKmGT8bdZwG7Kr2dkUNfvKwspUVCodxE9LkpGUMm5CflphqElZvc/TJ3P6uK5RVgq5l1BUg+bqthW3uAd/i8yK1VfxGRdMqU2Rq7AxsrvC4kMc1sJMysDzAE+KCGpmH7LfAToFWa93vUKcB24HEzGwQsIHEB9WfpCsDdN5nZ/cAG4CAw091npmv/lRw39MXMIh/6UszuGW/48/kpNt9Rr8E0DspNCb8l2twEEecn5aaa1SI/Bc1NU4CJwL3Jx1cqNzCzjkCJu+8xs2bAZcB/pdo/kyxYsGCHma1PsXk+mZ/7Mz3GTI8PFGMYoo6vd3UrMqU4syrei+SiGTNrCbwA/NDd96Vxv2OBbe6+wMxGpWu/leQAQ4F/dvcPzOx3JIbL/Hu6AkheOzEO6AvsAf5iZl9z9z+lK4ZM5u6VhzdJ/VJuyozcBBHnJ+WmmqUxP90LPGdm3yBRLH8FwMy6AX9w9zFAV+DJ5NDkLOA5d592sv6Zyt07ptrWzOZn+iy9mR5jpscHijEMmRxfphRnhUDPCq97kIbhIpVZYrrdF4Cn3f3FNO/+AuAaMxsDNAVam9mf3P1raYyhECiscNH086T/WobLgE/dfTuAmb0IfAGI4gvQVjPrmjwyraEvjZNyU2bkJog+Pyk3ZQh33wlcWsX7RSTuI4a7LyFxljnl/iIimSBTrjmbB/Qzs75m1oTERdZT0hmAmRmJaxlWuPtv0rlvAHf/qbv3cPc+JD7/W+n+8uPuW4CNZnZG8q1LgeXpjIHEUcwRZtY8+Tu5lOgmITg69AViMPRF6oVyUwbkpmQcUecn5SYREal3GXHmzN1Lzex2YAaJGbAec/dlaQ7jAuAm4KPk1LsAd7n79DTHEbV/Bp5OfhFdC9ySzp0nhys9DywkMUvdh8AJM3mFzcyeBUaRmOK5EPgFMRv6IuFTbso4keUn5SaJiXr/mwxBpseY6fGBYgxDxsZn7rofkoiIiIiISNQyZVijiIiIiIhIo6biTEREREREJAOoOBMRERGJMTO7ysxWmtkaM0v3LMs1MrOeZva2ma0ws2Vm9oOoY6qOmWWb2YdmNq3m1ulnZm3N7Hkz+zj58zw/6pgqMrN/Sf6Ol5rZs2bWNANieszMtpnZ0grvtTez181sdfKxXZQxVqTiTERERCSmkvdyewi4GhgA3GBmA6KN6gSlwI/d/UxgBPC9DIzxqB8Q3Uysqfgd8Fd37w8MIoNiNbPuwPeBAnc/i8REWhOijQqAJ4DK92G8E3jT3fsBb5L+W0dVS8WZiIiISHwNB9a4+1p3PwJMJnHD9Izh7pvdfWHyeTGJgqJ7tFGdyMx6AF8E/hB1LFUxs9bASBK3V8Hdj7j7nkiDOlEO0MzMcoDmRHBv0MrcfRawq9Lb44Ank8+fBManM6aTUXEmIiIiEl/dgY0VXheSgYXPUWbWh8QNwj+ooWkUfgv8BCiPOI7qnAJsBx5PDr38g5m1iDqoo9x9E3A/iVt8bAb2uvvMaKOqVmd33wyJgwdAp4jjOUbFmYiIiEh8WRXvZeR9ksysJfAC8EN33xd1PBWZ2Vhgm7sviDqWk8gBhgKT3H0I8BkZNBwved3WOKAv0A1oYWZfizaq+FFxJiIiIhJfhUDPCq97kAFDySozs1wShdnT7v5i1PFU4QLgGjNbR2Jo6CVm9qdoQzpBIVDo7kfPOj5PoljLFJcBn7r7dncvAV4EvhBxTNXZamZdAZKP2yKO5xgVZyIiIiLxNQ/oZ2Z9zawJiQkYpkQc03HMzEhcJ7XC3X8TdTxVcfefunsPd+9D4mf4lrtn1Fkfd98CbDSzM5JvXQosjzCkyjYAI8ysefJ3fikZNGFJJVOAicnnE4FXIozlODlRByAiIiIidePupWZ2OzCDxOx4j7n7sojDquwC4CbgIzNblHzvLnefHl1IsfXPwNPJQnwtcEvE8Rzj7h+Y2fPAQhIzdH4IPBptVGBmzwKjgHwzKwR+AdwLPGdm3yBRVH4lugiPZ+4ZOSxZRERERESkUdGwRhERERERkQyg4kxERERERCQDqDgTERERERHJACrOREREREREMoCKMxERERERkQyg4kxERERERCQDqDgTERERERHJAP8/cSVA7OlloOMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1080x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graph compression.\n",
    "plot_laplacians(pool @ unpool @ graph2.L @ pool @ unpool, graph2)\n",
    "plot_laplacians(unpool @ pool @ graph1.L @ unpool @ pool, graph1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Chaining\n",
    "\n",
    "* Chaining multiple pooling layers across resolutions.\n",
    "* Conservative remapping two consecutive times isn't equivalent to remapping directly.\n",
    "    * Same issue as inversion.\n",
    "    * Ambiguity: if two up and down pixels are attached to an intermediatary, how to distribute the areas?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "graphs = [\n",
    "    pg.graphs.SphereHealpix(4, k=8),\n",
    "    pg.graphs.SphereHealpix(2, k=8),\n",
    "    pg.graphs.SphereHealpix(1, k=8),\n",
    "]\n",
    "\n",
    "weights1 = build_interpolation_matrix(graphs[0], graphs[1])\n",
    "weights2 = build_interpolation_matrix(graphs[1], graphs[2])\n",
    "weights3 = build_interpolation_matrix(graphs[0], graphs[2])\n",
    "\n",
    "# Toy example illustrating the mixing.\n",
    "# weights2 = sparse.csr_matrix(np.array([\n",
    "#     [1, 1],\n",
    "#     [0.5, 0],\n",
    "# ]))\n",
    "# weights1 = sparse.csr_matrix(np.array([\n",
    "#     [0.5, 1, 0, 0, 0],\n",
    "#     [0, 0.1, 0.6, 0.1, 0.2],\n",
    "# ]))\n",
    "# weights3 = sparse.csr_matrix(np.array([\n",
    "#     [0.2, 0.9, 0.6, 0.1, 0.2],\n",
    "#     [0.3, 0.2, 0, 0, 0],\n",
    "# ]))\n",
    "\n",
    "# Same areas.\n",
    "np.testing.assert_allclose(weights1.sum(1), weights2.sum(0).T)\n",
    "np.testing.assert_allclose(weights1.sum(0), weights3.sum(0))\n",
    "np.testing.assert_allclose(weights2.sum(1), weights3.sum(1))\n",
    "\n",
    "pool1 = weights1.multiply(1/weights1.sum(1))\n",
    "pool2 = weights2.multiply(1/weights2.sum(1))\n",
    "pool3 = weights3.multiply(1/weights3.sum(1))\n",
    "\n",
    "unpool1 = weights1.multiply(1/weights1.sum(0)).T\n",
    "unpool2 = weights2.multiply(1/weights2.sum(0)).T\n",
    "unpool3 = weights3.multiply(1/weights3.sum(0)).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((192, 48), (48, 12), (12, 48), (48, 192))"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pool = pool2 @ pool1\n",
    "np.testing.assert_allclose(pool.sum(1), 1)\n",
    "np.testing.assert_allclose(pool3.sum(1), 1)\n",
    "\n",
    "unpool = unpool1 @ unpool2\n",
    "np.testing.assert_allclose(unpool.sum(1), 1)\n",
    "np.testing.assert_allclose(unpool3.sum(1), 1)\n",
    "\n",
    "# Encoder-decoder on multi-scale sampling.\n",
    "unpool1.shape, unpool2.shape, pool2.shape, pool1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Chaining is conservative by distributing area back.\n",
    "areas = weights2.sum(1)\n",
    "np.testing.assert_allclose(pool2.T @ areas, weights1.sum(1))\n",
    "np.testing.assert_allclose(pool.T @ areas, weights1.sum(0).T)\n",
    "np.testing.assert_allclose(pool3.T @ areas, weights1.sum(0).T)\n",
    "\n",
    "areas = weights1.sum(0)\n",
    "np.testing.assert_allclose(unpool1.T @ areas.T, weights2.sum(0).T)\n",
    "np.testing.assert_allclose(unpool.T @ areas.T, weights2.sum(1))\n",
    "np.testing.assert_allclose(unpool3.T @ areas.T, weights2.sum(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Mixing / averaging through intermediary pixels.\n",
    "assert not np.allclose(pool.toarray(), pool3.toarray())\n",
    "assert not np.allclose(unpool.toarray(), unpool3.toarray())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checking on our samplings and resolutions\n",
    "\n",
    "* 5 spherical samplings.\n",
    "* Source resolution of ~400km.\n",
    "* 2 downsamplings and upsamplings for pooling and unpooling in our UNet."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "samplings = {\n",
    "    'healpix': [\n",
    "        pg.graphs.SphereHealpix(16),\n",
    "        pg.graphs.SphereHealpix(8),\n",
    "        pg.graphs.SphereHealpix(4),\n",
    "    ],\n",
    "    'icosahedral': [\n",
    "        pg.graphs.SphereIcosahedral(16),\n",
    "        pg.graphs.SphereIcosahedral(8),\n",
    "        pg.graphs.SphereIcosahedral(4),\n",
    "    ],\n",
    "    'cubed': [\n",
    "        pg.graphs.SphereCubed(22),\n",
    "        pg.graphs.SphereCubed(11),\n",
    "        pg.graphs.SphereCubed(5),\n",
    "    ],\n",
    "    'gausslegendre': [\n",
    "        pg.graphs.SphereGaussLegendre(45, nlon='ecmwf-octahedral'),\n",
    "        pg.graphs.SphereGaussLegendre(22, nlon='ecmwf-octahedral'),\n",
    "        pg.graphs.SphereGaussLegendre(11, nlon='ecmwf-octahedral'),\n",
    "    ],\n",
    "    'equiangular': [\n",
    "        pg.graphs.SphereEquiangular(38, 76),\n",
    "        pg.graphs.SphereEquiangular(19, 38),\n",
    "        pg.graphs.SphereEquiangular(10, 20),\n",
    "    ],\n",
    "    'random': [\n",
    "        pg.graphs.SphereRandom(2800, seed=1),\n",
    "        pg.graphs.SphereRandom(700, seed=1),\n",
    "        pg.graphs.SphereRandom(175, seed=1),\n",
    "    ]\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "averaging over 8.2 pixels, (6272 non-zeros, 0.27% sparsity)\n",
      "averaging over 8.9 pixels, (5742 non-zeros, 0.35% sparsity)\n",
      "averaging over 8.8 pixels, (6384 non-zeros, 0.30% sparsity)\n",
      "averaging over 7.5 pixels, (6640 non-zeros, 0.27% sparsity)\n",
      "averaging over 7.9 pixels, (5700 non-zeros, 0.27% sparsity)\n",
      "averaging over 9.0 pixels, (6283 non-zeros, 0.32% sparsity)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1728x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1728x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1728x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1728x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1728x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1728x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for sampling in samplings.values():\n",
    "    weights = build_interpolation_matrix(sampling[0], sampling[1])\n",
    "    plot_interpolation_matrix(weights)\n",
    "    fig, axes = plt.subplots(1, 2, figsize=(8, 4))\n",
    "    plot_inversion_error(*build_pooling_matrices(weights), axes[0])\n",
    "    axes[1].hist((weights > 0).sum(1));\n",
    "    print('averaging over {:.1f} pixels, ({} non-zeros, {:.2%} sparsity)'.format(weights.nnz / weights.shape[0], weights.nnz, weights.nnz / np.prod(weights.shape)))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "cdo-python3",
   "language": "python",
   "name": "cdo-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": "3.9.0"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}