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A value is one of the fundamental things like a letter or a
number that a program manipulates. The values we have seen so far
are 2 (the result when we added 1 + 1), and
"Hello, World!".
These values belong to different types: 2 is an integer, and "Hello, World!" is a string, so-called because it contains a "string" of letters. You (and the interpreter) can identify strings because they are enclosed in quotation marks.
The print statement also works for integers.
>>> print 4
4
If you are not sure what type a value has, the interpreter can tell you.
>>> type("Hello, World!")
<type 'string'>
>>> type(17)
<type 'int'>
Not surprisingly, strings belong to the type string and integers belong to the type int. Less obviously, numbers with a decimal point belong to a type called float, because these numbers are represented in a format called floating-point.
>>> type(3.2)
<type 'float'>
What about values like "17" and "3.2"? They look like numbers, but they are in quotation marks like strings.
>>> type("17")
<type 'string'>
>>> type("3.2")
<type 'string'>
They're strings.
When you type a large integer, you might be tempted to use commas between groups of three digits, as in 1,000,000. This is not a legal integer in Python, but it is legal:
>>> print 1,000,000
1 0 0
Well, that's not what we expected at all! Python interprets 1,000,000 as a list of three items to be printed.
So remember not to put commas in
your integers.
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One of the most powerful features of a programming language is the ability to manipulate variables. A variable is a name that refers to a value.
The assignment statement creates new variables and gives them values:
>>> message = "What's up, Doc?"
>>> n = 17
>>> pi = 3.14159
This example makes three assignments. The first assigns the string "What's up, Doc?" to a new variable named message. The second gives the integer 17 to n, and the third gives the floating-point number 3.14159 to pi.
A common way to represent variables on paper is to write the name with an arrow pointing to the variable's value. This kind of figure is called a state diagram because it shows what state each of the variables is in (think of it as the variable's state of mind). This diagram shows the result of the assignment statements:
The print statement also works with variables.
>>> print message
What's up, Doc?
>>> print n
17
>>> print pi
3.14159
In each case the result is the value of the variable. Variables also have types; again, we can ask the interpreter what they are.
>>> type(message)
<type 'string'>
>>> type(n)
<type 'int'>
>>> type(pi)
<type 'float'>
The type of a variable is the type of the value it
refers to.
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Programmers generally choose names for their variables that
are meaningful they document what the variable is used for.
Variable names can be arbitrarily long. They can contain both letters and numbers, but they have to begin with a letter. Although it is legal to use uppercase letters, by convention we don't. If you do, remember that case matters. Bruce and bruce are different variables.
The underscore character (_) can appear in a name. It is often used in names with multiple words, such as my_name or price_of_tea_in_china.
If you give a variable an illegal name, you get a syntax error:
>>> 76trombones = "big parade"
SyntaxError: invalid syntax
>>> more$ = 1000000
SyntaxError: invalid syntax
>>> class = "Computer Science 101"
SyntaxError: invalid syntax
76trombones is illegal because it does not begin with a letter. more$ is illegal because it contains an illegal character, the dollar sign. But what's wrong with class?
It turns out that class is one of the Python keywords. Keywords define the language's rules and structure, and they cannot be used as variable names.
Python has twenty-eight keywords:
and continue else for import not raise
assert def except from in or return
break del exec global is pass try
class elif finally if lambda print while
You might want to keep this list handy. If the interpreter complains
about one of your variable names and you don't know why, see if it
is on this list.
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A statement is an instruction that the Python interpreter can execute. We have seen two kinds of statements: print and assignment.
When you type a statement on the command line, Python executes it and displays the result, if there is one. The result of a print statement is a value. Assignment statements don't produce a result.
A script usually contains a sequence of statements. If there is more than one statement, the results appear one at a time as the statements execute.
For example, the script
print 1
x = 2
print x
produces the output
1
2
Again, the assignment statement produces no output.
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An expression is a combination of values, variables, and operators. If you type an expression on the command line, the interpreter evaluates it and displays the result:
>>> 1 + 1
2
A value all by itself is considered an expression, and so is a variable.
>>> 17
17
>>> x
2
Confusingly, evaluating an expression is not quite the same thing as printing a value.
>>> message = "What's up, Doc?"
>>> message
"What's up, Doc?"
>>> print message
What's up, Doc?
When Python displays the value of an expression, it uses the same format you would use to enter a value. In the case of strings, that means that it includes the quotation marks. But the print statement prints the value of the expression, which in this case is the contents of the string.
In a script, an expression all by itself is a legal statement, but it doesn't do anything. The script
17
3.2
"Hello, World!"
1 + 1
produces no output at all. How would you change the script to
display the values of these four expressions?
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Operators are special symbols that represent computations like addition and multiplication. The values the operator uses are called operands.
The following are all legal Python expressions whose meaning is more or less clear:
20+32 hour-1 hour*60+minute minute/60 5**2 (5+9)*(15-7)
The symbols +, -, and /, and the use of parenthesis for grouping, mean in Python what they mean in mathematics. The asterisk (*) is the symbol for multiplication, and ** is the symbol for exponentiation.
When a variable name appears in the place of an operand, it is replaced with its value before the operation is performed.
Addition, subtraction, multiplication, and exponentiation all do what you expect, but you might be surprised by division. The following operation has an unexpected result:
>>> minute = 59
>>> minute/60
0
The value of minute is 59, and 59 divided by 60 is 0.98333, not 0. The reason for the discrepancy is that Python is performing integer division.
When both of the operands are integers, the result must also be an integer, and by convention, integer division always rounds down, even in cases like this where the next integer is very close.
A possible solution to this problem is to calculate a percentage rather than a fraction:
>>> minute*100/60
98
Again the result is rounded down, but at least now the answer is
approximately correct. Another alternative is to use floating-point
division, which we get to in Chapter 3.
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When more than one operator appears in an expression, the order of evaluation depends on the rules of precedence. Python follows the same precedence rules for its mathematical operators that mathematics does. The acronym PEMDAS is a useful way to remember the order of operations:
In general, you cannot perform mathematical operations on strings, even if the strings look like numbers. The following are illegal (assuming that message has type string):
message-1 "Hello"/123 message*"Hello" "15"+2
Interestingly, the + operator does work with strings, although it does not do exactly what you might expect. For strings, the + operator represents concatenation, which means joining the two operands by linking them end-to-end. For example:
fruit = "banana"
bakedGood = " nut bread"
print fruit + bakedGood
The output of this program is banana nut bread. The space before the word nut is part of the string, and is necessary to produce the space between the concatenated strings.
The * operator also works on strings; it performs repetition. For example, 'Fun'*3 is 'FunFunFun'. One of the operands has to be a string; the other has to be an integer.
On one hand, this interpretation of + and * makes sense by
analogy with addition and multiplication. Just as 4*3 is
equivalent to 4+4+4, we expect "Fun"*3 to be the same as
"Fun"+"Fun"+"Fun", and it is. On the other hand, there is a
significant way in which string concatenation and repetition are
different from integer addition and multiplication.
Can you think of a property that addition and multiplication have
that string concatenation and repetition do not?
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So far, we have looked at the elements of a program variables,
expressions, and statements in isolation, without talking about how to
combine them.
One of the most useful features of programming languages is their ability to take small building blocks and compose them. For example, we know how to add numbers and we know how to print; it turns out we can do both at the same time:
>>> print 17 + 3
20
In reality, the addition has to happen before the printing, so the actions aren't actually happening at the same time. The point is that any expression involving numbers, strings, and variables can be used inside a print statement. You've already seen an example of this:
print "Number of minutes since midnight: ", hour*60+minute
You can also put arbitrary expressions on the right-hand side of an assignment statement:
percentage = (minute * 100) / 60
This ability may not seem impressive now, but you will see other examples where composition makes it possible to express complex computations neatly and concisely.
Warning: There are limits on where you can use certain expressions. For
example, the left-hand side of an assignment statement has to be a
variable name, not an expression. So, the following is illegal:
minute+1 = hour.
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As programs get bigger and more complicated, they get more difficult to read. Formal languages are dense, and it is often difficult to look at a piece of code and figure out what it is doing, or why.
For this reason, it is a good idea to add notes to your programs to explain in natural language what the program is doing. These notes are called comments, and they are marked with the # symbol:
# compute the percentage of the hour that has elapsed
percentage = (minute * 100) / 60
In this case, the comment appears on a line by itself. You can also put comments at the end of a line:
percentage = (minute * 100) / 60 # caution: integer division
Everything from the # to the end of the line is ignored it
has no effect on the program. The message is intended for the programmer or
for future programmers who might use this code. In this case, it
reminds the reader about the ever-surprising behavior of integer division.
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