{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Obtain the matrix representation of a relation from generating function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0 1 1 1 1 1 1 1 1 1]\n",
      " [0 0 1 1 1 1 1 1 1 1]\n",
      " [0 0 0 1 1 1 1 1 1 1]\n",
      " [0 0 0 0 1 1 1 1 1 1]\n",
      " [0 0 0 0 0 1 1 1 1 1]\n",
      " [0 0 0 0 0 0 1 1 1 1]\n",
      " [0 0 0 0 0 0 0 1 1 1]\n",
      " [0 0 0 0 0 0 0 0 1 1]\n",
      " [0 0 0 0 0 0 0 0 0 1]\n",
      " [0 0 0 0 0 0 0 0 0 0]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "def relation(items, cmp=lambda x, y: x < y, dtype='?'):\n",
    "    \"\"\"Return a two-dimensional boolean array of items cmp-relation.\"\"\"\n",
    "    shape = 2 * (len(items),)\n",
    "    values = (cmp(x, y) for x in items for y in items)\n",
    "    return np.fromiter(values, dtype=dtype).reshape(shape)\n",
    "\n",
    "x = range(10)\n",
    "r = relation(x)\n",
    "\n",
    "print(r.astype(int))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot a logical matrix with matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def lmatrix(m, labels, figsize=(3, 3), fontsize=10, family='Arial'):\n",
    "    \"\"\"Plot the square boolean array m with the given labels.\"\"\"\n",
    "    n = len(labels)\n",
    "    assert m.shape == (n, n)\n",
    "    fig, ax = plt.subplots(figsize=figsize)\n",
    "    ax.imshow(m, cmap='Greys', interpolation='none')\n",
    "    ticks = np.arange(n)\n",
    "    ax.set_xticks(ticks)\n",
    "    ax.set_yticks(ticks)\n",
    "    ax.xaxis.tick_top()\n",
    "    ax.set_xticklabels(labels, rotation=90, family=family)\n",
    "    ax.set_yticklabels(labels, family=family)\n",
    "    ax.tick_params(length=0, labelsize=fontsize)\n",
    "    fig.tight_layout()\n",
    "\n",
    "lmatrix(r, x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lmatrix(relation(range(10), lambda x, y: x >= y), range(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transitive closure (Floyd–Warshall)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = relation(range(10), lambda x, y: abs(x - y) == 3)\n",
    "\n",
    "lmatrix(r, range(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def transitive_closure(m, inplace=False):\n",
    "    if not inplace:\n",
    "        m = m.copy()\n",
    "    for k in range(m.shape[0]):\n",
    "        m |= m[None, k, :] & m[:, k, None]\n",
    "    return m\n",
    "\n",
    "lmatrix(transitive_closure(r), range(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Convenience function, sort orders, identity matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def relmatrix(items, cmp, labels=None, figsize=None, itemsize=0.2, sort=False, close=False, **kwargs):\n",
    "    r = relation(items, cmp)\n",
    "    if labels is None:\n",
    "        labels = ['%s' % i for i in items]\n",
    "    if figsize is None:\n",
    "        figsize = 2 * (itemsize * len(items),)\n",
    "    if close:\n",
    "        transitive_closure(r, inplace=True)\n",
    "    if sort:\n",
    "        if sort in (True, 'colex'):\n",
    "            order = np.lexsort(r.T)\n",
    "        elif sort == 'lex':\n",
    "            order = np.lexsort(np.flipud(~r))\n",
    "        elif sort in ('short', 'shortcolex'):\n",
    "            order = np.lexsort(np.row_stack((r.T, r.sum(1))))\n",
    "        elif sort == 'shortlex':\n",
    "            order = np.lexsort(np.row_stack((np.flipud(~r.T), r.sum(1))))\n",
    "        else:\n",
    "            raise NotImplementedError\n",
    "        r = r[order][:, order]\n",
    "        labels = np.take(labels, order)\n",
    "    lmatrix(r, labels, figsize=figsize, **kwargs)\n",
    "\n",
    "relmatrix(range(10), lambda x, y: x == y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(10), lambda x, y: x - y == 1, close=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot bitwise operations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(16), lambda x, y: x & y == x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(16), lambda x, y: x & y == y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(16), lambda x, y: x & y in (x, y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(16), lambda x, y: not x & y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(16), lambda x, y: x + y >= 15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(16), lambda x, y: x & y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(16), lambda x, y: x & y and x ^ y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 340x340 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(17), lambda x, y: x & y and x & y not in (x, y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 340x340 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(17), lambda x, y: x & y and x & y not in (x, y), close=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Divisibility and primes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 860x860 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(43), lambda x, y: y != 0 and not x % y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 860x860 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(43), lambda x, y: y != 0 and not x % y, sort='shortlex')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Python abstract base classes for containers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 450x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import collections.abc\n",
    "\n",
    "abcs = ['Hashable', 'Iterable', 'Container', 'Sized',\n",
    "        'Set', 'MutableSet', 'Sequence', 'MutableSequence',\n",
    "        'Mapping']\n",
    "\n",
    "types = [getattr(collections.abc, n) for n in abcs]\n",
    "\n",
    "relmatrix(types, lambda x, y: issubclass(x, y), labels=abcs, itemsize=.5, family='monospace')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Python exception hierarchy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x1400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "enames = [n for n, o in __builtins__.__dict__.items()\n",
    "          if type(o) is type and issubclass(o, BaseException)]\n",
    "\n",
    "etypes = [getattr(__builtins__, n) for n in enames]\n",
    "\n",
    "relmatrix(etypes, lambda x, y: issubclass(x, y), labels=enames, family='monospace', sort=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## More integer relations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x460 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(23), lambda x, y: x * 3 & y * 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 520x520 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(26), lambda x, y: x * 2 & y * 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x640 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(32), lambda x, y: x**2 & y**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 740x740 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(range(37), lambda x, y: x & y**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Python keywords"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import keyword\n",
    "\n",
    "relmatrix(keyword.kwlist, lambda x, y: x in y, family='monospace', sort='short')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "relmatrix(keyword.kwlist, lambda x, y: not set(x).isdisjoint(set(y)), family='monospace', sort=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## More subclass relations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import collections\n",
    "\n",
    "def itersubclasses(cls, proper=False, exclude=(type,)):\n",
    "    queue = collections.deque(cls.__subclasses__() if proper else [cls])\n",
    "    seen = set(exclude)\n",
    "    while queue:\n",
    "        cls = queue.popleft()\n",
    "        if cls not in seen:\n",
    "            seen.add(cls)\n",
    "            yield cls\n",
    "            queue.extend(cls.__subclasses__())\n",
    "\n",
    "classes = list(itersubclasses(str))\n",
    "\n",
    "cnames = [c.__name__ for c in classes]\n",
    "\n",
    "relmatrix(classes, lambda x, y: issubclass(x, y), labels=cnames, itemsize=.5, family='monospace')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Powersets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x640 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import itertools\n",
    "\n",
    "def powerset(items):\n",
    "    items = list(items)\n",
    "    return itertools.chain.from_iterable(itertools.combinations(items, r)\n",
    "                                         for r in range(len(items) + 1))\n",
    "\n",
    "combos = [set(p) for p in powerset('abcde')]\n",
    "\n",
    "clabels = [''.join(sorted(c)) for c in combos]\n",
    "\n",
    "relmatrix(combos, lambda x, y: x >= y, labels=clabels)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}