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@gerryjenkinslb
Last active August 29, 2015 14:06
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{
"metadata": {
"gist_id": "36abf53d099d8e9943e4",
"name": "",
"signature": "sha256:11841f0d2487f7430a8da87340cd46b22d28ed8f4dbd106fc43b7ac155c0cd4e"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"<h1>defining functions</h1>\n",
"<ul><li>since python does implicit type, you don't need return type or parameter types</li>\n",
"<li>you use the def declaration to declare functions i.e.</li><ul>\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def average(alist):\n",
" acc = 0.0\n",
" for x in alist:\n",
" acc += x\n",
" return acc / len(alist) # compute average last\n",
"\n",
"print( average( [1,3,7,11] ))"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"5.5\n"
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"<h1>Newton's sqrt Method</h1>\n",
"<ul><li>Sir Isaac Newton developed a technique to compute square roots. (pre calculator)\n",
"</li><li>The algorithm for finding the square root of n\n",
"</li><ul>\n",
"<ol><li>set guess to n divided by 2\n",
"</li><li>replace the guess with \u00bd of the guess + n/guess:\n",
"</li><li>repeat step 2 until the answer is close enough.</li></ol>\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# version 1 loop 20 times\n",
"def square_root(n):\n",
" root = n/2.0 # initial gues\n",
" for k in range(20):\n",
" root = (0.5)*(root + (n/root))\n",
" return root\n",
"\n",
"#test it\n",
"for i in [2.0, 4.0, 10.0, 100.0]:\n",
" print(\"root of \", i, \" is \" , square_root(i))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"root of 2.0 is 1.414213562373095\n",
"root of 4.0 is 2.0\n",
"root of 10.0 is 3.162277660168379\n",
"root of 100.0 is 10.0\n"
]
}
],
"prompt_number": 29
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>Next version of square_root is better</h1>\n",
"<p>The following version only loops until the the guess stops changing, indicating it has arrived at the best precision it can</p><p>Also note the use of the comment # charactor which works just like // in c++ or java. It comments anything after it until the end of the line.<p>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# version 2 loop till close .0000000001\n",
"def square_root(n):\n",
" root = n/2.0 # initial gues\n",
" diff = 1.0 # big value to start\n",
" count = 0 # used to count iterations\n",
" while diff > 0.0:\n",
" new_root = (0.5)*(root + (n/root))\n",
" diff = abs(root-new_root)\n",
" root = new_root # replace old value before looping\n",
" count += 1\n",
" print(\"looped %d times\" % (count), end = \" \")\n",
" return root\n",
"\n",
"#test it\n",
"for i in [2.0, 4.0, 10.0, 100.0]:\n",
" print(\"root of \", i, \" is \" , square_root(i))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"looped 6 times root of 2.0 is 1.414213562373095\n",
"looped 1 times root of 4.0 is 2.0\n",
"looped 6 times root of 10.0 is 3.162277660168379\n",
"looped 8 times root of 100.0 is 10.0\n"
]
}
],
"prompt_number": 30
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>Object Oriented Programming</h1>\n",
"<ul>\n",
"<li>You write a class in python to define a new type of object</li>\n",
"<li>Inside this class you will define variables (instance variables) to hold the state of the object and methods to provide the interface for working with the state of an object</li>\n",
"</ul>"
]
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"The Fraction Class:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<ul>\n",
"<li>We will be creating a abstract data type to hold a fraction and provide an interface for it</li>\n",
"<li>We will start with a real simple class and build on it in the book text, and then in a assignment</li>\n",
"</ul>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# note that this is the class declaration line, \n",
"# and class names start with a uppercase letterclass Fraction\n",
"class Fraction:\n",
" def __init__(self,num,den): # __init__ is a special method that constructs the object\n",
" self.num = num # it sets the instance variables to the values passed as parameters\n",
" self.den = den\n",
" \n",
"# test creating some Fraction Objects\n",
"f1 = Fraction(1,2) # object for 1/2\n",
"f2 = Fraction(1,3) # object for 1/3\n",
"print(f1)\n",
"print(f2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"<__main__.Fraction object at 0x104c2db38>\n",
"<__main__.Fraction object at 0x104c37be0>\n"
]
}
],
"prompt_number": 31
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>Printing our objects</h1>\n",
"<ul>\n",
"<li>It would be nice to print our two objects</li>\n",
"<li>The book tells us we could write a method named <code>print</code> to just print</li>\n",
"<li>a better way is to write the standard method <code>\\_\\_str\\_\\_()</code></li>\n",
"<li>See new code below:</li>\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class Fraction:\n",
" def __init__(self,num,den): # __init__ is a special method that constructs the object\n",
" self.num = num # it sets the instance variables to the values passed as parameters\n",
" self.den = den\n",
" \n",
" def __str__(self):\n",
" return \"%d/%d\" % (self.num, self.den)\n",
" \n",
"# test creating some Fraction Objects\n",
"fraction_list = [ Fraction(1,2), Fraction(1,3), Fraction(57,128) ]\n",
"print(fraction_list[1])\n",
"print(fraction_list)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1/3\n",
"[<__main__.Fraction object at 0x104aa3320>, <__main__.Fraction object at 0x104aa3128>, <__main__.Fraction object at 0x104aa3080>]\n"
]
}
],
"prompt_number": 32
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<p>You will see that <code>\\_\\_str\\_\\_()</code> did not work for the print() function trying to print a list of our Fraction objects</p>\n",
"<p>The print function trys to call str() for any parameter it gets that is not a string type.</p>\n",
"<p>But it does not invoke <code>\\_\\_str\\_\\_()</code> for what is inside of the list structure.</p>\n",
"<p>It calls a special standard named <code>\\_\\_repr\\_\\_()</code> for that.</p>\n",
"<p>So lets add that and just return the result of <code>\\_\\_str\\_\\_()</code> in it's body:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class Fraction:\n",
" def __init__(self,num,den): # __init__ is a special method that constructs the object\n",
" self.num = num # it sets the instance variables to the values passed as parameters\n",
" self.den = den\n",
" \n",
" def __str__(self):\n",
" return \"%d/%d\" % (self.num, self.den)\n",
" \n",
" def __repr__(self):\n",
" return self.__str__()\n",
" \n",
"# test creating some Fraction Objects\n",
"fraction_list = [ Fraction(1,2), Fraction(1,3), Fraction(57,128) ]\n",
"print(fraction_list[1])\n",
"print(fraction_list)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1/3\n",
"[1/2, 1/3, 57/128]\n"
]
}
],
"prompt_number": 33
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>Some Notes</h1>\n",
"<ul>\n",
"<li>When referering to every member (instance variable or method) of the class from inside the class, you must use <code>self._variableName_</code> for instance variables, and <code>self._method(params)_</code> when calling methods from inside your class</li>\n",
"<li>From outside the class, you refer to the instance variables as <code>_objRef.variableName_</code></li>\n",
"<li>From outside the class, you call the methods as <code>_objRef.methodName(params)_</code></li>\n",
"<li>The instance variables are any variable with the prefix <code>self.</code> that appears on the left side of an assignment (=)</li>\n",
"<li>It is good practice to make variables 'private' by starting there name with an underscore, and then providing what are called set and get methods to access them or change them as part of the interface if needed. New Example:\n",
"</ul>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class Fraction:\n",
" def __init__(self,num,den): # __init__ is a special method that constructs the object\n",
" self._num = num # it sets the instance variables to the values passed as parameters\n",
" self._den = den\n",
" \n",
" def __str__(self):\n",
" return \"%d/%d\" % (self._num, self._den)\n",
" \n",
" def __repr__(self):\n",
" return self.__str__()\n",
" \n",
" def get_numerator(self):\n",
" return self._num\n",
" \n",
" def get_denominator(self):\n",
" return self._den\n",
" \n",
" def set_numerator(self,num):\n",
" self._num = num\n",
" \n",
" def set_denominator(self,den):\n",
" self._den = den\n",
" \n",
"########## TESTING ########## \n",
"# more extended testing with assert\n",
"fs = [ Fraction(1,2), Fraction(1,3), Fraction(57,128) ]\n",
"# assert statement format assert <test>, <message if false>\n",
"# good to try every method in the interface\n",
"assert fs[0].get_numerator() == 1, \"1/2 fraction numerator error\"\n",
"assert fs[0].get_denominator() == 2, \"1/2 fraction numerator error\"\n",
"\n",
"fs[1].set_numerator(2) # change second fraction to 2/3\n",
"assert fs[1].get_numerator() == 2, \"second fraction should now be 2/3\"\n",
"\n",
"fs[1].set_denominator(7) # change second fraction to 2/7\n",
"assert fs[1].get_denominator() == 7, \"second fraction should now be 2/3\"\n",
"\n",
"assert fs[2].__repr__() == \"57/128\" # you don't need an error message for assert\n",
"\n",
"# this is only avaliable inside of the ipython Notebook environment\n",
"# normally you would just print the words \"All Passed\"\n",
"from IPython.display import display, HTML \n",
"HTML(\"<p style ='color:green;font-size:3em;padding:1em'>All Passed</p>\")\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<p style ='color:green;font-size:3em;padding:1em'>All Passed</p>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 34,
"text": [
"<IPython.core.display.HTML at 0x104c2de80>"
]
}
],
"prompt_number": 34
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>UML Class Diagram</h1>\n",
"<ul>\n",
"<li>A UML Class diagram is a standard way that programers will design objects before writing code, or discuss objects in a graphical way at all stages of development.\n",
"<p>Here is the full diagram for what we have done so far. The diagram is in three parts, the top is the class name, the middle is the list of instance variables, and the bottom is the list of methods. Normally sets, gets and constructors are not listed, since every class will probably have them, so they are optional</p>\n",
"<table style=\n",
"\"border-collapse:collapse;border-spacing:0;border: 2px solid blue;\">\n",
" <tr style=\"2px solid blue;\"><td>\n",
" <pre>\n",
"Fraction</pre>\n",
" </td></tr>\n",
" <tr style=\"2px solid blue;\"><td>\n",
" <pre>\n",
"num\n",
"den</pre>\n",
" </td></tr>\n",
" <tr style=\"2px solid blue;\"><td>\n",
" <pre>\n",
"Fraction(num,den)\n",
"\\_\\_str\\_\\_()\n",
"\\_\\_repr\\_\\_()\n",
"get_numerator()\n",
"set_numerator()\n",
"get_denominator()\n",
"set_denominator()\n",
" </pre>\n",
" </td></tr>\n",
"</table>\n",
"\n",
"<p>Well all of these methods are fairly standard to any new class, so they are not the 'pricipal' parts of the interface.\n",
"So I would keep the constructor and not list the rest like this:\n",
"<table style=\n",
"\"border-collapse:collapse;border-spacing:0;border: 2px solid blue;\">\n",
" <tr style=\"2px solid blue;\"><td>\n",
" <pre>\n",
"Fraction</pre>\n",
" </td></tr>\n",
" <tr style=\"2px solid blue;\"><td>\n",
" <pre>\n",
"num\n",
"den</pre>\n",
" </td></tr>\n",
" <tr style=\"2px solid blue;\"><td>\n",
" <pre>\n",
"Fraction(num,den)\n",
" </pre>\n",
" </td></tr>\n",
"</table>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>Add the + operator using the \\_\\_add\\_\\_() function</h1>\n",
"<p>We want to be able to add two fractions together and return a new fraction object</p>\n",
"<p>To override many operators we need to know the special method name to do it. see a complete list at [Standard operators as functions](https://docs.python.org/2/library/operator.html)</p>\n",
"<p>To make this work we need to define \\_\\_add\\_\\|(self,other_fraction) that will take another fraction as a prameter (representing the right side of the +). And then in the body, create a new fraction with by adding the numerator of self and the other_fraction, and the denominator that is the product of the self denominator and the other_fraction denominator</p>\n",
"<p>See new method to add to class below</p>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```python\n",
"class Fraction:\n",
" ...\n",
" def __add__(self,other_fraction): # implements self + other\n",
" new_n = self._num + other_fraction.get_numerator()\n",
" new_d = self._den * other_fraction.get_denominator()\n",
" ...\n",
"``` \n",
"implementing based on:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\\begin{aligned}\n",
"\\frac{a}{b} + \\frac{c}{d} = \\frac{ad}{bd} + \\frac{cb}{bd} = \\frac{ad+cb}{bd}\n",
"\\end{aligned}"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# new Fraction whole code\n",
"class Fraction:\n",
" def __init__(self,num,den): # __init__ is a special method that constructs the object\n",
" self._num = num # it sets the instance variables to the values passed as parameters\n",
" self._den = den\n",
" \n",
" def __str__(self):\n",
" return \"%d/%d\" % (self._num, self._den)\n",
" \n",
" def __repr__(self):\n",
" return self.__str__()\n",
" \n",
" def get_numerator(self):\n",
" return self._num\n",
" \n",
" def get_denominator(self):\n",
" return self._den\n",
" \n",
" def set_numerator(self,num):\n",
" self._num = num\n",
" \n",
" def set_denominator(self,den):\n",
" self._den = den\n",
" \n",
" def __add__(self,other_fraction): # implements self + other\n",
" new_n = self._num * other_fraction.get_denominator() + \\\n",
" other_fraction.get_numerator() * self._den\n",
" new_d = self._den * other_fraction.get_denominator()\n",
" return Fraction(new_n, new_d)\n",
" \n",
"#Test to add\n",
"f1 = Fraction(1,3) \n",
"f2 = Fraction(3,4)\n",
"f3 = f1 + f2\n",
"print(\"f3 is %s\"% (f3))\n",
"assert str(f3) == \"13/12\"\n",
"print(\"PASSED\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"f3 is 13/12\n",
"PASSED\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\\begin{aligned}\n",
"\\frac{a}{b} + \\frac{c}{d} = \\frac{ad}{bd} + \\frac{cb}{bd} = \\frac{ad+cb}{bd}\n",
"\\end{aligned}\n",
"For the test\n",
"\\begin{aligned}\n",
"\\frac{1}{3} + \\frac{3}{4} = \\frac{1\\cdot4}{3\\cdot4} + \\frac{3\\cdot3}{3\\cdot4} = \\frac{1\\cdot4+3\\cdot3}{3\\cdot4} =\n",
"\\frac{13}{12}\n",
"\\end{aligned}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<p>From the formula above, we see the formula to use to add two fractions as mathmatically"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f1 = Fraction(1,3)\n",
"print( f1 + f1 )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"6/9\n"
]
}
],
"prompt_number": 37
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"def gcd(m,n):\n",
" while m%n != 0:\n",
" oldm = m\n",
" oldn = n\n",
" \n",
" m = oldn\n",
" n = oldm % oldn\n",
" return n\n",
"\n",
"class Fraction:\n",
" def __init__(self,num,den): # __init__ is a special method that constructs the object\n",
" self._num = num # it sets the instance variables to the values passed as parameters\n",
" self._den = den\n",
" \n",
" def __str__(self):\n",
" return \"%d/%d\" % (self._num, self._den)\n",
" \n",
" def __repr__(self):\n",
" return self.__str__()\n",
" \n",
" def get_numerator(self):\n",
" return self._num\n",
" \n",
" def get_denominator(self):\n",
" return self._den\n",
" \n",
" def set_numerator(self,num):\n",
" self._num = num\n",
" \n",
" def set_denominator(self,den):\n",
" self._den = den\n",
" \n",
" def __add__(self,other_fraction): # implements self + other\n",
" new_n = self._num * other_fraction.get_denominator() + \\\n",
" other_fraction.get_numerator() * self._den\n",
" new_d = self._den * other_fraction.get_denominator()\n",
" x = gcd(new_n,new_d)\n",
" return Fraction(new_n//x, new_d//x) ### modified since last time note //\n",
" \n",
"f1 = Fraction(1,3)\n",
"print( f1 + f1 )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"2/3\n"
]
}
],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>Opps, 6/9 should be 2/3</h1>\n",
"<p>we forgot reducing the fraction using greatest common divisor. Grade school was sooo long ago.</p>\n",
"<p>we need to find the smallest number that will evenly divide into the resultiing numerator and denominator, which is called the GCD. And then divide it into both to change the fraction.</p>\n",
"Euclid designed a algorithm, it was published in 300BC making it the oldest algorithm know.</p>\n",
"<p>Since this algorithm may be used for other things, we are going to defin it outside of the class prior to the class. So here is the new code:</p>\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image('files/FractionFig6.png',width=500, embed=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {
"png": {
"width": 500
}
},
"output_type": "pyout",
"png": 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L+C7ajG4hfDP8Utd1yAqTceKJJOLJBD5fvDj60J//JN98003kkksuye7qc+k9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\nF6+//hqefvoprF69qkPhxmbdfGKrj58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kj+552I5GbFo8sTVuMYm+WUN3p5nefNKz7d9h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\nPTU5MDYsIHlfcmVzPTU5MDYsIHVuaXRzPTEWwuj5AAAAAElFTkSuQmCC\n",
"prompt_number": 39,
"text": [
"<IPython.core.display.Image at 0x104c51ba8>"
]
}
],
"prompt_number": 39
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<p>Fig showing a variable like f1 referring to a Fraction(3,5) object</p>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Add the equality operator\n",
"- The <code>\\_\\_eq\\_\\_()</code> method must be added to test one fraction is equal to another.\n",
"- equality should compare the actual data in the instance variables and not just checking if they are the same reference\n",
"- every new object type may benefit for an equality operator\n",
"### note: there are many more methods for operators and you should look them up at https://docs.python.org/3.4/library/operator.html. Since you will need them for the homework."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Shallow vs Deep Equalilty\n",
"- if two variable with object reference are pointing to the same object, and that is all that is tested for in the equality then that is called <b>shallow copy</b>. This is what we get if we do not define the <code>\\_\\_eq\\_\\_()</code> method.\n",
"- when the equality operator code looks at all the data inside the objects being pointed two and compares if they are equal, then that is called <b>Deep Equality</b>. To get deep Equality, we must write our own <code>\\_\\_eq\\_\\_()</code> method.\n",
"## see figure below:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image('files/Fraction3.png',width=800, embed=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {
"png": {
"width": 800
}
},
"output_type": "pyout",
"png": 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dyePPMWzY8MDvfvc7fuedd8af/cc/am++5ZZMICy5z1eyDIB1m/5kAkG3p8sL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ozxoIPyYoLBEIYNG4qVK1diw4YNGDBgAFTV/qkQfPDBB1iyZAm+/OUv49VXX0VGRgZ69OhpZUqx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arS7xlxESPdyL+vA2hNbOLyEX71+Xoba2xhNCnYt4PEELCwvNlpYWnTEO1/MHMSYiQp1L1kkk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\n34WKS0slQRQ4QeAhCoJ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XYtbnM1BVVcXS4r21qAA3rGO9k1gZOdkT5FVRktPJ4UxDHUXE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qw2HA8OpQbFYnHs2bM3umzJYuPOO+4Q2r8aBEyfPh3TPpuOn110MdLSM5ix10MobRJkCz+c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nz1GprjMTJYQUCoVCcdpJpNKkOKIyahSQSKsBUiTxUCiBI1EqH0+D8fB/Q9mP2O/yThKYpgPhFuxp\nGOVB9Hjs1Ur0nPkoIaRQKBSKM5LalFEUfQnuoYnHIy9QlADjoxhIHwicYNv1U1gqyjPRUUJIoVAo\nFBOKSHTUF0pxRiWElLh5V6CEkEKhUCjesSgxo3g76OhXoVAoFAqFQnHGMaR4oIoIKRQKxeB0Aeg7\n3TuhUChGAgcA7e2epYSQQqFQ1McB+HQM8VulQqE449AxBJ2jhJBCoVDUhwKwT/dOKBSK8UV5hBQK\nhUKhULxrUUJIoVAoFArFuxYlhBQKhUKhULxrUUJIoVAoFArFuxYlhBQKhUKhULxrUUJIoVAoFArF\nuxYlhBQKhUKhULxr+f8BWkBY78RYzU4AAAAldEVYdGRhdGU6Y3JlYXRlADIwMTItMDEtMjNUMTE6\nMjg6NDItMDY6MDCV+lD2AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDEyLTAxLTIzVDExOjI4OjQyLTA2\nOjAw5KfoSgAAABh0RVh0UE5HOmlDQ1AAY2h1bmsgd2FzIGZvdW5kqvNcLgAAABR0RVh0UE5HOklI\nRFIuYml0X2RlcHRoADgphX5QAAAAFXRFWHRQTkc6SUhEUi5jb2xvcl90eXBlADYGSqcrAAAAG3RF\nWHRQTkc6SUhEUi5pbnRlcmxhY2VfbWV0aG9kADD7OweMAAAAIHRFWHRQTkc6SUhEUi53aWR0aCxo\nZWlnaHQAMTE1NSwgMTMwNYY6Q60AAAAodEVYdFBORzpwSFlzAHhfcmVzPTU5MDYsIHlfcmVzPTU5\nMDYsIHVuaXRzPTEWwuj5AAAAAElFTkSuQmCC\n",
"prompt_number": 40,
"text": [
"<IPython.core.display.Image at 0x104c51d30>"
]
}
],
"prompt_number": 40
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# code to add to Fraction for Deep equality operator\n",
"\n",
"def __eq__(self, other):\n",
" # we use the same numerators used for add, since they will have denominator.\n",
" firstnum = self.num * other.den \n",
" secondnum = other.num * self.den \n",
"\n",
" return firstnum == secondnum"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# You should look up the methods to use for < > * / and -, this will be in the homework."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Inheritance\n",
"Inheritance can be defined as the process where one object acquires the properties of another. With the use of inheritance the information is made manageable in a hierarchical order.\n",
"\n",
"When we talk about inheritance, the most commonly used keyword would be **extends** and **implements**. These words would determine whether one object **IS-A** type of another. By using these keywords we can make one object acquire the properties of another object.\n",
"\n",
"## IS-A Relationship:\n",
"*IS-A* is a way of saying : This object is a type of that object. Let us see how the extends keyword is used to achieve inheritance.\n",
"\n",
"If object A **is-a** object B, then A is a sub class of B, and B is more general or abstract than A.\n",
"\n",
"## Example:\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image('files/AnimalClasses.png', embed=True)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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/9tXsyLveuZb5yve5C8c+hCy6LBl+lP+Hexm/vPlp4fPYSudq+VryF4evwl83vt39nrZu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\nDgqY9gAAAABJRU5ErkJggg==\n",
"prompt_number": 42,
"text": [
"<IPython.core.display.Image at 0x104c52668>"
]
}
],
"prompt_number": 42
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class Animal: # this is the syntax to create a new class Animal. \n",
" pass # pass is a statement to be a do nothin body of any structure\n",
"\n",
"class Mammal(Animal): # this is declaring a new class Mammal that inherits for Animal\n",
" pass\n",
"\n",
"class Reptile(Animal):\n",
" pass\n",
"\n",
"class Dog(Mammal):\n",
" pass\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 43
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Facts:\n",
"- Mammal is-a Animal\n",
"- Reptile is-a Animal\n",
"- Dog is-a Mammal\n",
"- Dog is also is-a Animal\n",
"- Reptile is not a Mammal or a Dog\n",
"- Animal is not a Reptile or any other 'subclass' listed"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Extending means that the new class inherits all the State and Behavior of the super class\n",
"- Andy instance variable or methods of the super class are altomatical part of the subclass\n",
"## Consider:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class Animal: # this is the syntax to create a new class Animal. \n",
" def __init__(self,n):\n",
" self.name = n\n",
" \n",
" def speak(self):\n",
" print(\"I am Animal\")\n",
" \n",
" def getName(self):\n",
" return str(self.name)\n",
" def __str__(self):\n",
" return \"name: \" + self.name\n",
" \n",
" def __repr__(self):\n",
" return self.__str__()\n",
" \n",
"class Mammal(Animal): # this is declaring a new class Mammal that inherits for Animal\n",
" def __init__(self,c,n):\n",
" super().__init__(n) # this is how you call constructor of super class\n",
" self.color = c # color becomes a instance of Mammals\n",
" \n",
" def getColor(self):\n",
" return self.color\n",
" \n",
" def __str__(self): # return string of all new classes state including super clas\n",
" s = \"name: \" + self.getName()\n",
" s += \" color: \" + self.getColor()\n",
" return s\n",
"\n",
" \n",
"# testing, first create some creatures\n",
"\n",
"c1 = Animal(\"Mr. Sloth\")\n",
"c2 = Mammal(\"Red\",\"Mr. Fox\")\n",
"print(\"c1:\", str(c1))\n",
"print(\"c2:\", c2)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"c1: name: Mr. Sloth\n",
"c2: name: Mr. Fox color: Red\n"
]
}
],
"prompt_number": 44
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# lets add Reptile and Dog\n",
"\n",
"class Reptile(Animal):\n",
" def __init__(self,n,s):\n",
" super().__init__(n) # this is how you call constructor of super class\n",
" self.scales = s # number of scales\n",
" \n",
" def getScales(self): return self.scales\n",
" \n",
" # def __str__(self): return \"name: %s scales: %d\" % (self.getName(),self.scales)\n",
" # example using calling super method\n",
" def __str__(self): return super().__str__() + \" scales: \" + str(self.scales)\n",
" \n",
" def slither(self): print(\"sssisisisisssiisss\") \n",
" \n",
"class Dog(Mammal):\n",
" def __init__(self,c,f,n):\n",
" Mammal.__init__(self,c,n) # this is how you call constructor of super class\n",
" self.food = f # kind of food\n",
" \n",
" def speak(self): print(\"Arf Arf!\") #redefine (override) speak\n",
" \n",
" def getFood(self): return self.food\n",
" \n",
" def __str__(self): return Mammal.__str__(self) + \" food: \" + self.food\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"c3 = Reptile(\"rocky\",1000)\n",
"c4 = Dog(\"brown\",\"milk bone\", \"fido\",)\n",
"print(\"c3:\",c3)\n",
"print(\"c4:\",c4)\n",
"c4.speak()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"c3: name: rocky scales: 1000\n",
"c4: name: fido color: brown food: milk bone\n",
"Arf Arf!\n"
]
}
],
"prompt_number": 46
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# New Class Diagram"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image('files/AnimalClasses2.png', embed=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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/9tXsyLveuZb5yve5C8c+hCy6LBl+lP+Hexm/vPlp4fPYSudq+VryF4evwl83vt39nrZu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\nQmCC\n",
"prompt_number": 47,
"text": [
"<IPython.core.display.Image at 0x104c6aba8>"
]
}
],
"prompt_number": 47
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## definitions\n",
"- **super class** - the class your are inheriting from\n",
"- **sub class** - the class you are creating that is **extending** a super class\n",
"- **super class(synonyms)**: super, parent, base class\n",
"- **sub class (synonyms)**: sub, child, entended class\n",
" \n",
"- **override** - to redefine a method by the same name in the super class\n",
"\n",
"## inheritance vs. composition\n",
"Composition is the inclusion of a type of object as a instance variable instead of inheriting from that class\n",
"\n",
"I will go over this example in class\n",
"\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image('files/Composition_Inheritance.png', embed=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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4je+TGtrs9o6GSWLyVexjMqRPF3aRK8r05j7ulGSi8W2qy97VwLUotc051mMx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\nmMD6y1YiSuq+QLcd/nHd9f7Bwe7W+pe+Iyf3K+nlRnfXoJjXM3M2ltL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"prompt_number": 48,
"text": [
"<IPython.core.display.Image at 0x104c6acf8>"
]
}
],
"prompt_number": 48
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# deciding when to use composition or inheritance\n",
"\n",
"Composition best represents the **Has-a** relationship\n",
"\n",
"Inheritance best represents the **Is-a** relationship\n",
"\n",
"If the two types are very related where one is just a more specific thing of the other than **inheritance** may be best\n",
"\n",
"If the two types are not derived directly from another, and are best described as one has-a as a part of it. Then composition is the way to go."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# polymorphsim - Barnyard Example in class"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<div style=\"font-size:1.5em;line-height:1.4em\">Animal(name | speak())\n",
" <div style=\"margin-left:3em\">\n",
" Cow( speak(), chew())<br/>\n",
" Pig( speak())<br/>\n",
" Cat( speak(), purr()\n",
" </div<</div>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class Animal:\n",
" def __init__(self,name): self.name = name\n",
" def speak(self): return \" .\"\n",
" def __str__(self): return self.name + \" \" + self.speak()\n",
" def getName(self): return self.name\n",
" \n",
"class Cow(Animal):\n",
" def __init__(self,name): super().__init__(name)\n",
" def chew(self): print(\"munch munch\")\n",
" def speak(self): return \"MOOO\"\n",
" \n",
"class Pig(Animal):\n",
" def __init__(self,name): super().__init__(name)\n",
" def speak(self): return \"ooink oink\"\n",
" \n",
"class Cat(Animal):\n",
" def __init__(self,name): super().__init__(name)\n",
" def speak(self): return \"MEOW\"\n",
" def purr(self): print(\"Purrrr\")\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"animals = [Cat(\"Pus\"), Animal(\"Sloth\"), Cat(\"Spot\"), Pig(\"Babe\"), Cow(\"Bessy\"), Cow(\"Jackson\") ]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 50
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for a in animals:\n",
" print(str(a))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Pus MEOW\n",
"Sloth .\n",
"Spot MEOW\n",
"Babe ooink oink\n",
"Bessy MOOO\n",
"Jackson MOOO\n"
]
}
],
"prompt_number": 51
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for a in animals:\n",
" a.purr();"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Purrrr\n"
]
},
{
"ename": "AttributeError",
"evalue": "'Animal' object has no attribute 'purr'",
"output_type": "pyerr",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-52-d85f89eee381>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0ma\u001b[0m \u001b[0;32min\u001b[0m \u001b[0manimals\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0ma\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpurr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;31mAttributeError\u001b[0m: 'Animal' object has no attribute 'purr'"
]
}
],
"prompt_number": 52
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#fixed\n",
"for a in animals:\n",
" if isinstance(a,Cat):\n",
" print(a.getName(), end=\" \")\n",
" a.purr()\n",
" else:\n",
" print(a.getName() + \" can't purr\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Pus Purrrr\n",
"Sloth can't purr\n",
"Spot Purrrr\n",
"Babe can't purr\n",
"Bessy can't purr\n",
"Jackson can't purr\n"
]
}
],
"prompt_number": 54
}
],
"metadata": {}
}
]
}
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