04_Function_Ex.ipynb

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    "# 4. Functions and Classes: Exercise\n",
    "\n",
    "Name: "
   ]
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
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   "source": [
    "## 1. Functions\n",
    "Define the following functions and show some sample outputs.  \n",
    "1) Factorial of n: $1 \\times 2 \\times \\cdots \\times n$."
   ]
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   "source": [
    "def factorial(n):\n",
    "    \"\"\"factorial of n\"\"\"\n"
   ]
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   "source": [
    "for n in range(1, 10):\n",
    "    print(factorial(n))"
   ]
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    "2) For a circle of radius r (default r=1), given x coordinate, return possible y coordinates (two, one, or None)."
   ]
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   "source": [
    "def circley(x, r=1):\n",
    "    "
   ]
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   "source": [
    "3) Draw a star-like shape with n vertices, every m-th vertices connected, with default of n=5 and m=2."
   ]
  },
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   "cell_type": "code",
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   "source": [
    "def star(n=5, m=2):\n",
    "    "
   ]
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    "4) Any function(s) of your interest"
   ]
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   "source": []
  },
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   "source": [
    "## 2. Classes\n",
    "1) Extend the `Cell`, `gCell` or `Culture` class with new methods, such as:\n",
    "* cells with other shapes, e.g. ellipse, polygon,...\n",
    "* move to avoid overlap with another cell\n",
    "* connect with another cell like a neuron\n",
    "* growth based on the environment, e.g., number of neighbors\n",
    "* ..."
   ]
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   "cell_type": "code",
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   "source": [
    "# example of drawing an ellipse\n",
    "import matplotlib.patches as pat\n",
    "p = pat.Ellipse(xy=(1,2), width=2, height=1, angle=30)\n",
    "plt.gca().add_patch(p)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": [
    "# example of drawing a polygon\n",
    "xy = np.array([[np.sin(th),np.cos(th)] for th in np.arange(0, 4*np.pi, np.pi*4/5)])\n",
    "p = pat.Polygon(xy)\n",
    "plt.gca().add_patch(p)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "code",
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   "source": [
    "2) Save the defined class(es) as a module `cell.py`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3) Import the module and test how it works."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cell"
   ]
  },
  {
   "cell_type": "code",
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   "metadata": {},
   "outputs": [],
   "source": [
    "import importlib"
   ]
  },
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   "cell_type": "code",
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   "outputs": [],
   "source": [
    "importlib.reload(cell) # This is needed after updating a module"
   ]
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