{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MPI decomposition calculator\n",
    "For calculating decompositions equal to whole nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "i:   1   3   5   7   7   9   9  11  13  15  17  19  19  21  21  23  25  27  29  31  31  33  35  37  39  39  41  41\n",
      "j:  31  21  19   9  41   7  39  29  27  17  15   5  37   3  35  25  23  13  11   1  33  31  21  19   9  41   7  39\n",
      "n:   1   2   3   2   9   2  11  10  11   8   8   3  22   2  23  18  18  11  10   1  32  32  23  22  11  50   9  50"
     ]
    }
   ],
   "source": [
    "cores_per_node = 32\n",
    "xios_cores = 1\n",
    "\n",
    "i = np.arange(1, 42)\n",
    "j = np.arange(1, 42)\n",
    "n = (np.prod(np.meshgrid(i, j), axis=0) + xios_cores) / cores_per_node\n",
    "ii, jj = np.nonzero(np.mod(n, 1) == 0)\n",
    "print('i:', end='')\n",
    "for I in i[ii]:\n",
    "    print(f'{I:4d}', end='')\n",
    "print('\\nj:', end='')\n",
    "for J in j[jj]:\n",
    "    print(f'{J:4d}', end='')\n",
    "print('\\nn:', end='')\n",
    "for N in n[ii, jj]:\n",
    "    print(f'{N:4.0f}', end='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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