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   "source": [
    "# Using `numpy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
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   "source": [
    "import itertools as it\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic array properties\n",
    "\n",
    "- dtype\n",
    "- shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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   "source": []
  },
  {
   "cell_type": "code",
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  },
  {
   "cell_type": "markdown",
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   "source": [
    "## Creation of arrays\n",
    "\n",
    "- array\n",
    "- arange\n",
    "- zeros, ones, empty\n",
    "- zeros_like, ones_like, empty_like\n",
    "- eye, diag\n",
    "- linspace, logspace\n",
    "- fromiter, fromfunction, fromstring, fromregex\n",
    "- record arrays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Overwriting christmas.txt\n"
     ]
    }
   ],
   "source": [
    "%%file christmas.txt\n",
    "4 Calling Birds\n",
    "5 Gold Rings\n",
    "6 Geese a-Laying\n",
    "7 Swans a-Swimming\n",
    "8 Maids a-Milking\n",
    "9 Ladies Dancing\n",
    "10 Lords a-Leaping\n",
    "11 Pipers Piping\n",
    "12 Drummers Drumming"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Indexing\n",
    "\n",
    "- ranges\n",
    "- step size\n",
    "- reverse slicing\n",
    "- fancy indexing\n",
    "- `np.ix_`\n",
    "- `np.where`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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   "source": []
  },
  {
   "cell_type": "code",
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Views and copies\n",
    "\n",
    "- `=` is a view\n",
    "- slice is a view\n",
    "- Use `copy()` to make a copy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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    "collapsed": true
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Strides\n",
    "\n",
    "- strides for dtypes\n",
    "- `np.lib.stride_tricks.as_strided`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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  },
  {
   "cell_type": "markdown",
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   "source": [
    "## Vectorization and ufuncs\n",
    "\n",
    "- operators\n",
    "- cumsum\n",
    "- log, log10, log1p\n",
    "- exp, exp2, expm1\n",
    "- clip\n",
    "- vectorize\n",
    "- Using `timeit`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reshaping\n",
    "\n",
    "- reshape\n",
    "- ravel\n",
    "- order\n",
    "- squeeze"
   ]
  },
  {
   "cell_type": "code",
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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  },
  {
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   "source": [
    "## Broadcasting\n",
    "\n",
    "- Broadcasting rules\n",
    "- Adding vector to matrix\n",
    "- Array expansion with `np.newarray` or None"
   ]
  },
  {
   "cell_type": "code",
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   "outputs": [],
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  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "source": []
  },
  {
   "cell_type": "code",
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   "cell_type": "markdown",
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   "source": [
    "**Exercise**: Create the following 12 by 12 multiplicaiton table using `numpy`\n",
    "\n",
    "- fromiter\n",
    "- fromfuction\n",
    "- outer\n",
    "- broadcasting\n",
    "    \n",
    "```python\n",
    "array([[  1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12],\n",
    "       [  2,   4,   6,   8,  10,  12,  14,  16,  18,  20,  22,  24],\n",
    "       [  3,   6,   9,  12,  15,  18,  21,  24,  27,  30,  33,  36],\n",
    "       [  4,   8,  12,  16,  20,  24,  28,  32,  36,  40,  44,  48],\n",
    "       [  5,  10,  15,  20,  25,  30,  35,  40,  45,  50,  55,  60],\n",
    "       [  6,  12,  18,  24,  30,  36,  42,  48,  54,  60,  66,  72],\n",
    "       [  7,  14,  21,  28,  35,  42,  49,  56,  63,  70,  77,  84],\n",
    "       [  8,  16,  24,  32,  40,  48,  56,  64,  72,  80,  88,  96],\n",
    "       [  9,  18,  27,  36,  45,  54,  63,  72,  81,  90,  99, 108],\n",
    "       [ 10,  20,  30,  40,  50,  60,  70,  80,  90, 100, 110, 120],\n",
    "       [ 11,  22,  33,  44,  55,  66,  77,  88,  99, 110, 121, 132],\n",
    "       [ 12,  24,  36,  48,  60,  72,  84,  96, 108, 120, 132, 144]])\n",
    "```"
   ]
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   "source": [
    "## Reductions and the axis argument\n",
    "\n",
    "- mean, min, max, sum, ptp, median, var, std\n",
    "- axis argument"
   ]
  },
  {
   "cell_type": "code",
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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  {
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   "source": [
    "## Splitting arrays\n",
    "\n",
    "- split\n",
    "- np.lib.pad\n",
    "- hsplit, vsplit, dsplit\n",
    "- squeeze after split"
   ]
  },
  {
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   "source": [
    "## Combining arrays\n",
    "\n",
    "- vstack, hstack, dstack\n",
    "- concatenate\n",
    "- `r_`, `c_`"
   ]
  },
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