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CHAPTER 1 INSTANT HACKING: THE BASICS
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Note Similar functions exist to convert to other types (for example, long and float). In fact, these aren t completely normal functions they re type objects. I ll have more to say about types later. The opposite of floor is ceil (short for ceiling ), which finds the smallest integral value larger than or equal to the given number.
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If you are sure that you won t import more than one function with a given name (from different modules), you might not want to write the module name each time you call the function. Then you can use a variant of the import command: >>> from math import sqrt >>> sqrt(9) 3.0 After using from module import function, you can use the function without its module prefix.
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Tip You may, in fact, use variables to refer to functions (and most other things in Python). For example, by
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performing the assignment foo = math.sqrt you can start using foo to calculate square roots; for example, foo(4) yields 2.
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cmath and Complex Numbers
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The sqrt function is used to calculate the square root of a number. Let s see what happens if we supply it with a negative number: >>> from math import sqrt >>> sqrt(-1) Traceback (most recent call last): File "<pyshell#23>", line 1, in sqrt(-1) ValueError: math domain error Well, that s reasonable. You can t take the square root of a negative number or can you Of course you can: The square root of a negative number is an imaginary number. (This is a standard mathematical concept if you find it a bit too mind-bending, you are free to skip ahead.) So why couldn t sqrt deal with it Because it only deals with floats, and imaginary numbers (and complex numbers, the sum of real and imaginary numbers) are something completely different which is why they are covered by a different module, cmath (for complex math): >>> import cmath >>> cmath.sqrt(-1) 1j
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CHAPTER 1 INSTANT HACKING: THE BASICS
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Notice that I didn t use from ... import ... here. If I had, I would have lost my ordinary sqrt. Name clashes like these can be sneaky, so unless you really want to use the from version, you should probably stick with a plain import. The 1j is an imaginary number. These are written with a trailing j (or J), just like longs use L. Without delving into the theory of complex numbers, let me just show a final example of how you can use them: >>> (1+3j) * (9+4j) (-3+31j) As you can see, the support for complex numbers is built into the language.
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Note There is no separate type for imaginary numbers in Python. They are treated as complex numbers
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whose real component is zero.
Back to the _ _future_ _
It has been rumored that Guido van Rossum (Python s creator) has a time machine because often when people request features in the language, the features have already been implemented. Of course, we aren t all allowed into this time machine, but Guido has been kind enough to build a part of it into Python, in the form of the magic module __future__. From it we can import features that will be standard in Python in the future but that aren t part of the language yet. You saw this in the section about numbers and expressions, and you ll be bumping into it from time to time throughout this book.
Saving and Executing Your Programs
The interactive interpreter is one of Python s great strengths. It makes it possible to test solutions and to experiment with the language in real time. If you want to know how something works, just try it! However, everything you write in the interactive interpreter is lost when you quit. What you really want to do is write programs that both you and other people can run. In this section, you learn how to do just that. First of all, you need a text editor, preferably one intended for programming. (If you use something like Microsoft Word, be sure to save your code as plain text.) If you are already using IDLE, you re in luck: Simply create a new editor window with File New Window. Another window appears without an interactive prompt. Whew! Start by entering the following: print "Hello, world!" Now select File Save to save your program (which is, in fact, a plain text file). Be sure to put it somewhere where you can find it later on. You might want to create a directory where you put all your Python projects, such as C:\python in Windows. In a UNIX environment, you might use a directory like ~/python. Give your file any reasonable name, such as hello.py. The .py ending is important.
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