{ "cells": [ { "cell_type": "markdown", "id": "7dc5579a", "metadata": {}, "source": [ " Introduction to Python\n", "====================" ] }, { "cell_type": "markdown", "id": "a6222f96", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "8ba67571", "metadata": {}, "source": [ " Python Basics\n", "-------------" ] }, { "cell_type": "markdown", "id": "2fccfdb5", "metadata": {}, "source": [ "Let's look at some simple Python expressions first." ] }, { "cell_type": "code", "execution_count": 4, "id": "4f338a1f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "7" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "3+4 " ] }, { "cell_type": "markdown", "id": "b0ee35ff", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "c2e72c1b", "metadata": {}, "source": [ "Loops work like in other languages, but notice that Python indicates block structure by indentation. This worries many people, but it is generally harmless and makes code look \"less noisy\". Just be careful when you cut and paste and look up the editor command for indenting/outdenting the current selection (otherwise, it's painful)." ] }, { "cell_type": "markdown", "id": "d2991ee7", "metadata": {}, "source": [ " " ] }, { "cell_type": "code", "execution_count": 5, "id": "6252057a", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0\n", "1\n", "2\n", "3\n", "4" ] } ], "source": [ "i = 0 \n", "while i<5:\n", " print i \n", " i += 1 " ] }, { "cell_type": "markdown", "id": "494c5b59", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "a42667a0", "metadata": {}, "source": [ "Function definitions are made with the def keyword." ] }, { "cell_type": "markdown", "id": "992bbcd8", "metadata": {}, "source": [ " " ] }, { "cell_type": "code", "execution_count": 6, "id": "fd41af8e", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "55" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def fib(x): \n", " if x<2: return x \n", " return fib(x-1) + fib(x-2) \n", "fib(10) " ] }, { "cell_type": "markdown", "id": "cf54584a", "metadata": {}, "source": [ " " ] }, { "cell_type": "code", "execution_count": 7, "id": "3d72f166", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 3, 4, 5, 6, 9]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def quicksort(l):\n", " if len(l)<2: \n", " return l\n", " pivot = l[0] \n", " low = [x for x in l if xpivot] \n", " return quicksort(low)+mid+quicksort(high) \n", "#You can get help and other information interactively.\n", "quicksort([9,1,3,4,6,5]) " ] }, { "cell_type": "markdown", "id": "ebebb429", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "71839ed8", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "fde9fd7d", "metadata": {}, "source": [ "Python Development\n", "==================" ] }, { "cell_type": "markdown", "id": "5cacec0d", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "bbbcc4b2", "metadata": {}, "source": [ "You can also write command line programs; that's important for a lot of pattern recognition problems, since you'll be dealing with many files, many CPUs, and long-running computations." ] }, { "cell_type": "markdown", "id": "ab4ac9c2", "metadata": {}, "source": [ " " ] }, { "cell_type": "code", "execution_count": 8, "id": "36905824", "metadata": { "collapsed": true }, "outputs": [], "source": [ "#!/usr/bin/python\n", "# simple grep-like program\n", "\n", "import os,sys,re\n", "\n", "regex = re.compile(sys.argv[1])\n", "stream = open(sys.argv[2])\n", "for line in stream.readlines():\n", " line = line[:-1]\n", " if regex.search(line)>=0:\n", " print line" ] }, { "cell_type": "markdown", "id": "72ab5268", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "3b23b4f6", "metadata": {}, "source": [ "For argument parsing, use the optparse module." ] }, { "cell_type": "markdown", "id": "2fe94a08", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "bbbf7d47", "metadata": {}, "source": [ "The usual way of developing in Python is to experiment with APIs interactively, write small functions, then experiment with and test those functions, etc. You can write Python like you write C as well (edit -> compile -> run, except you don't need the compile step), but that's less efficient." ] }, { "cell_type": "markdown", "id": "29cbb63f", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "356e5aaf", "metadata": {}, "source": [ "For experimentation use the python or ipython commands. They will prompt you with \">>>\" and you can type away:" ] }, { "cell_type": "code", "execution_count": 9, "id": "9a13eb87", "metadata": { "collapsed": false }, "outputs": [ { "ename": "SyntaxError", "evalue": "invalid syntax (, line 5)", "output_type": "error", "traceback": [ "\u001b[1;36m File \u001b[1;32m\"\"\u001b[1;36m, line \u001b[1;32m5\u001b[0m\n\u001b[1;33m \u001b[0m\n\u001b[1;37m ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n" ] } ], "source": [ ">>> 3+4\n", "7\n", ">>> import os\n", ">>> os.popen(\"ls\",\"r\")\n", "\n", ">>> help(os.popen)\n", "Help on built-in function popen in module posix: popen(...)\n", " popen(command [, mode='r' [, bufsize]]) -> pipe}\n", " Open a pipe to/from a command returning a file object.\n", ">>> " ] }, { "cell_type": "markdown", "id": "bd81b4b2", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "ef7c8bc6", "metadata": {}, "source": [ "Some Python IDEs encourage interactive development, including Emacs and DrPython. Others treat Python more like Java or C++." ] }, { "cell_type": "markdown", "id": "d5ed44cf", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "15e95025", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "59bbb4ba", "metadata": {}, "source": [ "# Getting Info" ] }, { "cell_type": "markdown", "id": "af3fa781", "metadata": {}, "source": [ "There are useful help functions.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "2c747463", "metadata": { "collapsed": true }, "outputs": [], "source": [ "help(list) " ] }, { "cell_type": "markdown", "id": "141d4f3d", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "1785390b", "metadata": {}, "source": [ "The dir(...) function shows all the attributes of its argument. Attributes of the form `__foo__` usually have a special meaning to the Python interpreter." ] }, { "cell_type": "code", "execution_count": 10, "id": "a516ad8a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['__add__',\n", " '__class__',\n", " '__contains__',\n", " '__delattr__',\n", " '__delitem__',\n", " '__delslice__',\n", " '__doc__',\n", " '__eq__',\n", " '__format__',\n", " '__ge__',\n", " '__getattribute__',\n", " '__getitem__',\n", " '__getslice__',\n", " '__gt__',\n", " '__hash__',\n", " '__iadd__',\n", " '__imul__',\n", " '__init__',\n", " '__iter__',\n", " '__le__',\n", " '__len__',\n", " '__lt__',\n", " '__mul__',\n", " '__ne__',\n", " '__new__',\n", " '__reduce__',\n", " '__reduce_ex__',\n", " '__repr__',\n", " '__reversed__',\n", " '__rmul__',\n", " '__setattr__',\n", " '__setitem__',\n", " '__setslice__',\n", " '__sizeof__',\n", " '__str__',\n", " '__subclasshook__',\n", " 'append',\n", " 'count',\n", " 'extend',\n", " 'index',\n", " 'insert',\n", " 'pop',\n", " 'remove',\n", " 'reverse',\n", " 'sort']" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dir(list)" ] }, { "cell_type": "markdown", "id": "2e05c7ae", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "4c4f7297", "metadata": {}, "source": [ "Object-Oriented Features\n", "========================" ] }, { "cell_type": "markdown", "id": "d93b9463", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "2fc74342", "metadata": {}, "source": [ "Python is an object-oriented language. Here is a simple class definition." ] }, { "cell_type": "markdown", "id": "5cd4381c", "metadata": {}, "source": [ " " ] }, { "cell_type": "code", "execution_count": 11, "id": "1beabaec", "metadata": { "collapsed": true }, "outputs": [], "source": [ "class Counter: \n", " def __init__(self): \n", " self.count = 0 \n", " def increment(self,by=1): \n", " self.count += by \n", " def reset(self,to=0): \n", " self.count = 0 \n", " def report(self): \n", " return self.count \n", " c = Counter() \n", " c.increment() \n", " c.increment() \n", " print c.report() \n", " c.reset() \n", " print c.report() \n", " c = Counter() \n", " c.increment() \n", " c.increment() \n", " print c.report() \n", " c.reset() print \n", " c.report() " ] }, { "cell_type": "markdown", "id": "d8173ecd", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "32274cd4", "metadata": {}, "source": [ " Note the following aspects of Python programming:\n", "\n", "- single dispatch\n", "- multiple inheritance\n", "- self is an explicit arg\n", "- constructor is `__init__`\n", "- note use of default args (also works for functions)\n" ] }, { "cell_type": "markdown", "id": "a7638370", "metadata": {}, "source": [ "Python Datatypes\n", "================" ] }, { "cell_type": "markdown", "id": "046bdeb7", "metadata": {}, "source": [ "Python has the usual scalar datatypes, plus strings." ] }, { "cell_type": "code", "execution_count": 1, "id": "1feeb3e5", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 \n", "1.0 1 \n", "abc b \n" ] } ], "source": [ "print 1,type(1) \n", "print 1.0,int(1.0),type(1.0)\n", "print \"abc\",\"abc\"[1],type(\"abc\") " ] }, { "cell_type": "markdown", "id": "8d3d68fa", "metadata": {}, "source": [ "Strings are immutable." ] }, { "cell_type": "code", "execution_count": 2, "id": "c9320c74", "metadata": { "collapsed": false }, "outputs": [ { "ename": "TypeError", "evalue": "'str' object does not support item assignment", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0ms\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m\"abc\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0ms\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m\"x\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mTypeError\u001b[0m: 'str' object does not support item assignment" ] }, { "name": "stdout", "output_type": "stream", "text": [ "b\n" ] } ], "source": [ "s = \"abc\" \n", "print s[1] \n", "s[1] = \"x\" " ] }, { "cell_type": "markdown", "id": "baebdcfc", "metadata": {}, "source": [ "Lists are denoted with [...] and are mutable." ] }, { "cell_type": "code", "execution_count": 3, "id": "f290039a", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2\n", "[1, 2, 3]\n", "[1, 99, 3]\n" ] } ], "source": [ "l = [1,2,3] \n", "print l[1] \n", "print l \n", "l[1] = 99 \n", "print l " ] }, { "cell_type": "markdown", "id": "154f541a", "metadata": {}, "source": [ "Tuples are similar to lists, are denoted with (...), and are immutable." ] }, { "cell_type": "code", "execution_count": 4, "id": "7b1af6ad", "metadata": { "collapsed": false }, "outputs": [ { "ename": "TypeError", "evalue": "'tuple' object does not support item assignment", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mt\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m99\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0mt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mTypeError\u001b[0m: 'tuple' object does not support item assignment" ] }, { "name": "stdout", "output_type": "stream", "text": [ "2\n", "(1, 2, 3)\n" ] } ], "source": [ "t = (1,2,3) \n", "print t[1] \n", "print t \n", "t[1] = 99 \n", "print t " ] }, { "cell_type": "markdown", "id": "0c460f72", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "id": "a7b66511", "metadata": {}, "source": [ "Python supports parallel assignment with tuples." ] }, { "cell_type": "code", "execution_count": 5, "id": "006c0290", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3\n" ] } ], "source": [ "x,y = (3,7)\n", "print x" ] }, { "cell_type": "markdown", "id": "2ef74af3", "metadata": {}, "source": [ "Parallel assignment also works for lists." ] }, { "cell_type": "code", "execution_count": 6, "id": "8f431358", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3\n" ] } ], "source": [ "x,y = [3,7] \n", "print x " ] }, { "cell_type": "markdown", "id": "9157ff91", "metadata": {}, "source": [ "Lists (and tuples) support iteration:" ] }, { "cell_type": "code", "execution_count": 7, "id": "72fa4487", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9\n", "3\n", "2\n", "7\n" ] } ], "source": [ "for x in [9,3,2,7]: print x " ] }, { "cell_type": "markdown", "id": "44646add", "metadata": {}, "source": [ "Python also has a dictionary type; it is written using {...} and implemented as hash tables." ] }, { "cell_type": "code", "execution_count": 8, "id": "1edcba59", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n" ] } ], "source": [ "d = {1:1,2:4,3:9}\n", "print d[1] " ] }, { "cell_type": "markdown", "id": "7f031bbc", "metadata": {}, "source": [ "Python Identity and Types\n", "=========================" ] }, { "cell_type": "markdown", "id": "7a77bf84", "metadata": {}, "source": [ "There are some more things you should know about Python types:\n", "\n", " + Assignment never copies, always passes references.\n", " + x==y tests for value equality\n", " + x is y tests for identity\n", " + isinstance(a,t) tests for whether a is of type t\n", " + int(x) converts to an int or raises an error\n", " + list(x) converts to a list or raises an error \n", " + type(x) returns the type (e.g., str, list, tuple)\n", "\n", "Let's look at that." ] }, { "cell_type": "code", "execution_count": 9, "id": "c71aea60", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 99, 3]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = [1,2,3] \n", "y = x \n", "y[1] = 99 \n", "x " ] }, { "cell_type": "code", "execution_count": 10, "id": "528803b3", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x is y " ] }, { "cell_type": "code", "execution_count": 11, "id": "acbd7141", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n", "True\n" ] } ], "source": [ "x = [1,2,3] \n", "y = [1,2,3] \n", "print x is y \n", "print x==y " ] }, { "cell_type": "code", "execution_count": 12, "id": "4fa2ecd9", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n", "True\n" ] } ], "source": [ "print isinstance(3,list) \n", "print isinstance([],list) " ] }, { "cell_type": "markdown", "id": "ac03f8b5", "metadata": {}, "source": [ "Errors and Exceptions\n", "=====================" ] }, { "cell_type": "markdown", "id": "f3045ad5", "metadata": {}, "source": [ "Python catches runtime errors (type errors, numerical errors, etc.) and lets you handle them in a way similar to Java and other languages. Here is a simple example:" ] }, { "cell_type": "code", "execution_count": 13, "id": "10f602fd", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "oops\n", "finally\n" ] } ], "source": [ "try:\n", " x = 1 + None \n", "except TypeError: \n", " print \"oops\" \n", "else: \n", " print \"no oops\" \n", "finally: print \"finally\" " ] }, { "cell_type": "markdown", "id": "20284ce2", "metadata": {}, "source": [ "If you want to catch all exceptions, just use except:\n", "\n", "Python guarantees to catch all type errors in Python code, which makes Python a safe and strongly typed language." ] }, { "cell_type": "markdown", "id": "983eaf87", "metadata": {}, "source": [ "Iteration and for loops\n", "=======================" ] }, { "cell_type": "markdown", "id": "74c906cb", "metadata": {}, "source": [ "Python's for loop always iterates over sequences. In order to iterate over a range of numbers, use the range function." ] }, { "cell_type": "code", "execution_count": 14, "id": "bfc8ab54", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lion\n", "gazelle\n", "Garfield\n" ] } ], "source": [ "for animal in [\"lion\",\"gazelle\",\"Garfield\"]: \n", " print animal " ] }, { "cell_type": "markdown", "id": "28200625", "metadata": {}, "source": [ " The range function takes three forms:\n", "\n", " + range(n) - integers from 0 to n-1\n", " + range(n,m) - integers counting up from n to m by 1, excluding m\n", " + range(n,m,d) - integers counting up from n to m by d, excluding m" ] }, { "cell_type": "code", "execution_count": 15, "id": "ee0fd10d", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "99 bottles of beer on the wall\n", "98 bottles of beer on the wall\n", "97 bottles of beer on the wall\n", "96 bottles of beer on the wall\n" ] } ], "source": [ "for i in range(99,95,-1): \n", " print i,\"bottles of beer on the wall\" " ] }, { "cell_type": "markdown", "id": "a1cf2f46", "metadata": {}, "source": [ "Frequently, we want to iterate over a long sequence of items that gets generated somewhere else. Storing the entire sequence in a list may take too much memory. Python therefore provides iterators: just write a loop that generates the sequence you want and then yield the result. Here is a simple illustration." ] }, { "cell_type": "code", "execution_count": 16, "id": "475407fa", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n", "2\n", "3\n", "5\n", "8\n", "13\n", "21\n", "34\n", "55\n", "89\n", "144\n", "233\n", "377\n", "610\n", "987\n" ] } ], "source": [ "def fibonacci(): \n", " a,b = (0,1) \n", " while 1: \n", " a,b = (b,a+b) \n", " yield b \n", " \n", "for x in fibonacci(): \n", " if x>1000: break\n", " print x " ] }, { "cell_type": "markdown", "id": "5902dc4b", "metadata": {}, "source": [ "Note that you can yield tuples and then assign them with parallel assignment." ] }, { "cell_type": "markdown", "id": "92fec79f", "metadata": {}, "source": [ "NumPy Arrays\n", "============" ] }, { "cell_type": "markdown", "id": "108bbd99", "metadata": {}, "source": [ "Python has a rich and powerful numerical array facility. Although at first glance, it may just seem like a Python-specific library, many of the concepts, conventions, and operations are common across many langauges, including Matlab and Fortran. Many of the operations and notation originated in the APL programming language.\n", "\n", "What makes many of these operations interesting is also that they are inherently parallel; they are an example of large-scale SIMD parallelism, first used on a large scale on the Connection Machine. That is, writing something like sum(a) to sum the elements of a 1000000 array is not just concise, it also can be performed in time log2(1000000) on a parallel machine, while the compiler may not be able to parallelize the equivalent for loop.\n", "\n", "Regular Python arrays are constructed like [1,2,3]; they can hold mixed types:" ] }, { "cell_type": "code", "execution_count": 17, "id": "704c2a42", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 'abc', 3]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l = [1,2,3] \n", "l[1] = \"abc\"\n", "l " ] }, { "cell_type": "markdown", "id": "5de1093b", "metadata": {}, "source": [ "This is fine for normal programming, but it is inefficient for numerical programming. Python therefore has a second array type in which all the elements must be of the same (numerical) type. This type is contained in the numpy package; it is also defined in pylab, which contains many additional useful functions." ] }, { "cell_type": "code", "execution_count": 18, "id": "36e625e3", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1, 9, 3])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pylab import *\n", "array([1,9,3]) " ] }, { "cell_type": "markdown", "id": "662e133c", "metadata": {}, "source": [ "In addition to constructing numerical arrays from lists, we can also construct them with arange, zeros, ones:" ] }, { "cell_type": "code", "execution_count": 19, "id": "330127b1", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 1 2 3]\n", "[ 0. 0. 0.]\n", "[ 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n" ] } ], "source": [ "print arange(4) \n", "print zeros(3) \n", "print ones(9) " ] }, { "cell_type": "markdown", "id": "85eaac97", "metadata": {}, "source": [ " Note that the first result is of type integer array, while the other two results are floating point arrays. This matters..." ] }, { "cell_type": "code", "execution_count": 20, "id": "586cd78f", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 0 1 1]\n", "[ 0.5 0.5 0.5 0.5]\n" ] } ], "source": [ "print arange(4)/2 \n", "print ones(4)/2 " ] }, { "cell_type": "markdown", "id": "147ce963", "metadata": {}, "source": [ "You can find out the type of an array by looking at its dtype member:" ] }, { "cell_type": "code", "execution_count": 21, "id": "205f97c8", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(dtype('int64'), dtype('float64'))" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = arange(4)\n", "b = ones(4) \n", "a.dtype,b.dtype " ] }, { "cell_type": "markdown", "id": "579d0e76", "metadata": {}, "source": [ "You can also specify dtypes. There are some common shorthands in use:\n", "\n", " + B - 8bit unsigned value\n", " + i - 32bit integer\n", " + f - 32bit floating point number" ] }, { "cell_type": "code", "execution_count": 22, "id": "2eab1d76", "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "int32\n", "int32\n", "int64\n", "uint8\n", "float32\n" ] } ], "source": [ "print ones(4,'i').dtype \n", "print ones(4,'int32').dtype \n", "print ones(4,'int64').dtype \n", "print ones(4,'B').dtype\n", "print ones(4,'f').dtype " ] }, { "cell_type": "markdown", "id": "f5c9d005", "metadata": {}, "source": [ "The first example used integer division, the second floating point division, just like for Python scalars.\n", "\n", "This example also illustrates that Python automatically parallelizes operations across arrays: when dividing an array by a scalar, it's the same as dividing each element by that scalar.\n", "\n", "This also works for elementwise operations:" ] }, { "cell_type": "code", "execution_count": 23, "id": "b4be3976", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 1. , 0.5 , 0.33333333, 0.25 ])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ones(4)/(1+arange(4)) " ] }, { "cell_type": "markdown", "id": "d93654a1", "metadata": {}, "source": [ "However, the arrays must have the same shape. Note the somewhat obscure error message; you will see that frequently." ] }, { "cell_type": "code", "execution_count": 24, "id": "f330b084", "metadata": { "collapsed": false }, "outputs": [ { "ename": "ValueError", "evalue": "operands could not be broadcast together with shapes (5) (4) ", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mones\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0marange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (5) (4) " ] } ], "source": [ "ones(5)/(1+arange(4)) " ] }, { "cell_type": "markdown", "id": "d0a20a7e", "metadata": {}, "source": [ "There are also some specifically parallel operations like the dot product. Here's a parallel (if silly) way of writing the sum of all the integers from 0 through 9:" ] }, { "cell_type": "code", "execution_count": 25, "id": "690e8c9c", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "45.0" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dot(arange(10),ones(10)) " ] }, { "cell_type": "markdown", "id": "051aa737", "metadata": {}, "source": [ "Here's another way; the function sum maps arrays to scalars; it is an example of a reduction operation. Because addition is associative, this can be parallelized well. It's an example of a parallel prefix operation:" ] }, { "cell_type": "code", "execution_count": 26, "id": "a4a3d485", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "45" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sum(arange(10)) " ] }, { "cell_type": "markdown", "id": "bd736193", "metadata": {}, "source": [ "Python has a rich set of array subscripting operations:" ] }, { "cell_type": "code", "execution_count": 27, "id": "3d0bed75", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10\n", "19\n", "[1 2]\n", "[ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19]\n", "[0]\n" ] } ], "source": [ "a = arange(20) \n", "print a[10] # 11th element of a \n", "print a[-1] # last element of a \n", "print a[1:3] # second and third elements \n", "print a[1:] # everything after element 0 \n", "print a[:1] # everything before the last element " ] }, { "cell_type": "markdown", "id": "4efff4da", "metadata": {}, "source": [ "Note that these subscripting operations return views of the array; they share the same underlying data." ] }, { "cell_type": "code", "execution_count": 28, "id": "1ecbe4ae", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 1, 99, 3])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = array([1,2,3])\n", "b = a[1:]\n", "b[0] = 99 \n", "a " ] }, { "cell_type": "markdown", "id": "554abb0c", "metadata": {}, "source": [ " Python also has multidimensional arrays. They work similar to 1D arrays. For their creation, pass a tuple of dimensions rather than a single number, or a list of lists, as required." ] }, { "cell_type": "code", "execution_count": 29, "id": "7439e71c", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0., 0.],\n", " [ 0., 0.]])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "z = zeros((2,2))\n", "z " ] }, { "cell_type": "code", "execution_count": 30, "id": "b617ea72", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[1, 2],\n", " [3, 4]])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = array([[1,2],[3,4]])\n", "a" ] }, { "cell_type": "code", "execution_count": 31, "id": "724065cf", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(2, 2)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a.shape" ] }, { "cell_type": "markdown", "id": "8efdc3f7", "metadata": {}, "source": [ "The reshape method returns another view of an array (it doesn't allocate new data)." ] }, { "cell_type": "code", "execution_count": 32, "id": "baa61a2a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1, 2, 3, 4])" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a.reshape(4) " ] }, { "cell_type": "markdown", "id": "8a448681", "metadata": {}, "source": [ "Note that we can also reshape using a tuple of size 1. This is written as (4,), since (4) would be the same as the number 4. " ] }, { "cell_type": "code", "execution_count": 33, "id": "e0ff28ad", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1, 2, 3, 4])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a.reshape((4,)) " ] }, { "cell_type": "code", "execution_count": 34, "id": "cefb91b4", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1, 2, 3, 4])" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a.ravel() " ] }, { "cell_type": "code", "execution_count": 35, "id": "cdbc1fd5", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a.flat " ] }, { "cell_type": "code", "execution_count": 36, "id": "d684c312", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 2, 3, 4]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(a.flat) " ] }, { "cell_type": "markdown", "id": "6072bcb1", "metadata": {}, "source": [ "Think about the difference between these two:\n", "\n", "`for i in range(4): a.ravel()[i] = 99`\n", "\n", "`for x in a.flat: x = 99`\n", "\n", "You can also destructively change the shape of an array:" ] }, { "cell_type": "code", "execution_count": 37, "id": "4a47e94e", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1 2]\n", " [3 4]]\n", "[1 2 3 4]\n" ] } ], "source": [ "print a \n", "a.shape = 4 \n", "print a " ] }, { "cell_type": "code", "execution_count": 38, "id": "29d78a2f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 2., 2.],\n", " [ 2., 2.]])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ones((2,2))+ones((2,2)) " ] }, { "cell_type": "code", "execution_count": 39, "id": "922c0038", "metadata": { "collapsed": false }, "outputs": [ { "ename": "ValueError", "evalue": "operands could not be broadcast together with shapes (2,2) (4) ", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mones\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mones\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (2,2) (4) " ] } ], "source": [ "ones((2,2))+ones(4)" ] }, { "cell_type": "markdown", "id": "0e802e17", "metadata": {}, "source": [ "But sometimes things work..." ] }, { "cell_type": "code", "execution_count": 40, "id": "da5521ac", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 2., 2.],\n", " [ 2., 2.]])" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ones((2,1))+ones((2,2)) " ] }, { "cell_type": "markdown", "id": "f40b28b0", "metadata": {}, "source": [ "This is array recycling: if the mismatching axis is of size 1, it will be replicated across the corresponding axis.\n", "\n", "There is a convenient notation for indicating recycling using the newaxis keyword. The following two are equivalent:" ] }, { "cell_type": "code", "execution_count": 41, "id": "53956fa4", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 2. 2.]\n", " [ 2. 2.]]\n", "[[ 2. 2.]\n", " [ 2. 2.]]\n" ] } ], "source": [ "print ones(2).reshape(2,1) + ones((2,2)) \n", "print ones(2)[:,newaxis] + ones((2,2)) " ] }, { "cell_type": "markdown", "id": "6125c300", "metadata": {}, "source": [ "This combines powerfully with other operations." ] }, { "cell_type": "code", "execution_count": 42, "id": "472fe029", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 0, 0, 0, 0],\n", " [ 0, 1, 2, 3, 4],\n", " [ 0, 2, 4, 6, 8],\n", " [ 0, 3, 6, 9, 12],\n", " [ 0, 4, 8, 12, 16]])" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arange(5)[:,newaxis] * arange(5)[newaxis,:] " ] }, { "cell_type": "code", "execution_count": 43, "id": "81baeb09", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy import *\n", "from pylab import imshow \n", "image = arange(10)[:,newaxis] * arange(10)[newaxis,:] \n", "imshow(image) # put the image on the canvas (but doesn't show it yet) \n", "gray() # map values to grayscale \n", "show() # display it \n", "savefig('test.png') " ] }, { "cell_type": "code", "execution_count": 44, "id": "bb3c0c5f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Psn//flwuFz09PYyOjmKxWBgcHGR4eBi1Ws3q1atpamqiurqaq1evEh4ezt13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\nhJSAgAA4nU6kpKSgqakJfX19UKvV0Gq16OjowMsvv4zs7Gz09fVBo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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "image = random.random((200,200))\n", "imshow(image); show(); savefig(\"temp.png\") " ] }, { "cell_type": "code", "execution_count": 45, "id": "e0ee6faf", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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X1dkrOw4Eq6urU/vsSHys5TiM5ojIKti3IirgryYIVGwg15hFeEjAQV4NBbBs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\nq6QgAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.ndimage import filters \n", "smooth = filters.gaussian_filter(image,10.0) \n", "imshow(smooth); show(); savefig(\"temp.png\") " ] }, { "cell_type": "markdown", "id": "75b822d3", "metadata": {}, "source": [ "You can also make animations. These work differently in this worksheet and the command line. From the command line, here is an example:" ] }, { "cell_type": "code", "execution_count": 47, "id": "55860a3a", "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FPS: 43.5693279038\n" ] }, { "data": { "image/png": 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989ufi2BHR6JeeP6Q0rGX7RH0qrRmJX1W2qs5PE6JFOAZ4/cAP6oKswvBqwH6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\nMH7wyGzIWkMdyBiEScWJQ9megR5B54O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}, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "FPS: 43.6437732508\n" ] }, { "data": { "image/png": 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989ufi2BHR6JeeP6Q0rGX7RH0qrRmJX1W2qs5PE6JFOAZ4/cAP6oKswvBqwH6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\nMH7wyGzIWkMdyBiEScWJQ9megR5B54O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8Ho/XvM5///d/P7700kvHF1xwwfg3\nfuM3xkePHl3TOt91113j7du3j88777zxTTfdNH7jjTfWtL69MrUHbtZlXdZlbcr6HXnrsi7vMFkH\n/bqsyztM1kG/LuvyDpN10K/LurzDZB3067Iu7zBZB/26rMs7TP4fo76YRQhsI6gAAAAASUVORK5C\nYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#see www.scipy.org/Cookbook/Matplotlib/Animations\n", "\n", "from numpy import *\n", "from pylab import *\n", "import time\n", "\n", "ion() # turn on interactive\n", "\n", "tstart = time.time()\n", "image = zeros((100,100))\n", "x = linspace(0,10,100)\n", "y = linspace(0,10,100)\n", "image = sin(x)[:,newaxis]*sin(y)[newaxis,:]\n", "im = imshow(image)\n", "\n", "n = 500\n", "for i in linspace(0,10,n):\n", " image = sin(x+i)[:,newaxis]*sin(y+i)[newaxis,:]\n", " im.set_array(image)\n", " draw()\n", "\n", "print 'FPS:' , n/(time.time()-tstart)" ] }, { "cell_type": "markdown", "id": "6ee01dc3", "metadata": {}, "source": [ "Arrays as Images\n", "================" ] }, { "cell_type": "markdown", "id": "ef3948ea", "metadata": {}, "source": [ "Python has a lot of facilities for dealing with images. These are contained in the pylab module and the scipy.ndimage module, among others. Here is a simple example.\n", "\n", "If they don't have the same shape, it's usually an error." ] }, { "cell_type": "markdown", "id": "0a60324a", "metadata": {}, "source": [ "Size Mismatches, Recycling, NewAxis\n", "===================================" ] }, { "cell_type": "markdown", "id": "74a3d69e", "metadata": {}, "source": [ "If arrays have the same size and shape, then operations between them are parallelized.\n", "\n", "They also use C layout internally, so a[0,0] and a[1,0] are further apart in memory than a[0,0] and a[0,1]. How would you know? Because you can reshape arrays. " ] }, { "cell_type": "markdown", "id": "457f6ff2", "metadata": {}, "source": [ "# Data Parallelism" ] }, { "cell_type": "markdown", "id": "002ff465", "metadata": {}, "source": [ "Loops are quite slow in Python." ] }, { "cell_type": "code", "execution_count": 49, "id": "20c9307f", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pylab import * \n", "import timeit \n", "a = randn(1000,1000) " ] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }