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Essentially, the computer's memory is made up of bytes. Each byte has a number, an address, associated with it.
The picture below represents several bytes of a computer's memory. In the picture, addresses 924 thru 940 are shown.
Try:
1:#include <stdio.h>
2:int main()
3:{
4: float fl=3.14;
5: printf("%.2f\n", fl);
6: return 0;
7:}
1:#include <iostream>
2:int main()
3:{
4: float fl=3.14;
5: std::cout << fl << std::endl;
6: return 0;
7:}
At line (4) in the program above, the computer reserves
memory for fl. In our examples, we'll assume
that a float requires 4 bytes. Depending on the
computer's architecture, a float may require 2,
4, 8 or some other number of bytes.
When fl is used in line (5), two distinct steps occur:
fl--in this example 924.To generalize, whenever any variable is accessed, the above two distinct steps occur to retrieve the contents of the variable.
The illustration that shows 3.14 in the
computer's memory can be misleading. Looking at
the diagram, it appears that "3" is stored in memory
location 924, "." is stored in memory
location 925, "1" in 926,
and "4" in 927. Keep in mind that the
computer actually uses an algorithm to convert the
floating point number 3.14 into a set of ones and
zeros. Each byte holds 8 ones or zeros. So, our 4
byte float is stored as 32 ones and zeros
(8 per byte times 4 bytes). Regardless of whether
the number is 3.14, or -273.15, the number is always
stored in 4 bytes as a series of 32 ones and zeros.
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Two operators are provided that, when used, cause these two steps to occur separately.
| operator | meaning | example |
|---|---|---|
& | do only step 1 on a variable | &fl |
* | do step 2 on a number(address) | *some_num |
Try this code to see what prints out:
1: #include <stdio.h>
2: int main()
3: {
4: float fl=3.14;
5: printf("fl's address=%u\n", (unsigned int) &fl);
6: return 0;
7: }
1:#include <iostream>
2: int main()
3: {
4: float fl=3.14;
5: std::cout << "fl's address=" << (unsigned int) &fl << std::endl;
6: return 0;
7: }
On line (5) of the example, The & operator is being used
on fl. On line (5), only step 1 is being performed on
a variable:
1. The program finds and grabs the address reserved for fl...
It is fl's address that is printed to the screen.
If the & operator had not been placed in front
of fl, then step 2 would have occurred as well,
and 3.14 would have been printed to the screen.
The (unsigned int) phrase
will be discussed later. It is there so that &addr
will print out as a non-negative number. It has been shown in
gray to indicate that you must include it for the program to
compile properly but that it is not relevant to this current
discussion.
|
Keep in mind that an address is really just a simple number. In fact, we can store an address in an integer variable. Try this:
1: #include <stdio.h>
2: int main()
3: {
4: float fl=3.14;
5: unsigned int addr=(unsigned int) &fl;
6: printf("fl's address=%u\n", addr);
7: return 0;
8: }
1: #include <iostream>
2: int main()
3: {
4: float fl=3.14;
5: unsigned int addr=(unsigned int) &fl;
6: std::cout << "fl's address=" << addr << std::endl;
7: return 0;
8: }
The above code shows that there is nothing magical about addresses. They are just simple numbers that can be stored in integer variables.
The unsigned keyword at the start of line
(5) simply means that the integer will not hold negative
numbers. As before, the (unsigned
int) phrase has been shown in gray. It must
be included for the code to compile, but is not relevant to
this discussion. It will be discussed later.
|
Now let's test the other operator, the * operator that retrieves the contents stored at an address:
1: #include <stdio.h>
2: int main()
3: {
4: float fl=3.14;
5: unsigned int addr=(unsigned int) &fl;
6: printf("fl's address=%u\n", addr);
7: printf("addr's contents=%.2f\n", * (float*) addr);
8: return 0;
9: }
1: #include <iostream>
2: int main()
3: {
4: float fl=3.14;
5: unsigned int addr=(unsigned int) &fl;
6: std::cout << "fl's address=" << addr << std::endl;
7: std::cout << "addr's contents=" << * (float*) addr << std::endl;
8: return 0;
9: }
In line (7), step 2 has been performed on a number:
2. The contents stored at that address [addr] are retrieved.
In order to make line (7) work, a little "syntax sugar"
had to be added for the program to compile. Like before,
(float*) is shown in
gray because it is not relevant to the current discussion.
For the sake of this discussion, just read "*(float*)addr" as "*addr"
(that is, ignore the stuff in gray). The code shown in gray
will be discussed later.
|
We have shown that 2 distinct steps occur when accessing a variable, and that we can make those steps occur separately. But why is this useful?
To see why, let's first look at how functions work in C/C++. Try this code:
1: #include <stdio.h>
2: void somefunc(float fvar)
3: {
4: fvar=99.9;
5: }
6: int main()
7: {
8: float fl=3.14;
9: somefunc(fl);
10: printf("%.2f\n", fl);
11: return 0;
12: }
1: #include <iostream>
2: void somefunc(float fvar)
3: {
4: fvar=99.9;
5: }
6: int main()
7: {
8: float fl=3.14;
9: somefunc(fl);
10: std::cout << fl << std::endl;
11: return 0;
12: }
What prints out? 3.14? 99.9? It turns out that 3.14 prints out. The general term used to describe this behavior is pass by value.
When somefunc(fl) is called at line 9:
fvar is created as its own variable and fl's value is copied into fvar

main where it left off (line 10). The fl variable is unchanged, 3.14 prints out.We can circumvent this pass by value behavior and change values
passed into functions by using the & and *
operators.
1: #include <stdio.h>
2: void somefunc(unsigned int fptr)
3: {
4: *(float*)fptr=99.9;
5: }
6:
7: int main()
8: {
9: float fl=3.14;
10: unsigned int addr=(unsigned int) &fl;
11: somefunc(addr);
12: printf("%.2f\n", fl);
13: return 0;
14: }
1: #include <iostream>
2: void somefunc(unsigned int fptr)
3: {
4: *(float*)fptr=99.9;
5: }
6:
7: int main()
8: {
9: float fl=3.14;
10: unsigned int addr=(unsigned int) &fl;
11: somefunc(addr);
12: std::cout << fl << std::endl;
13: return 0;
14: }
Quite simply, the two steps that normally occur when accessing a variable are being separated to allow us to change the variable's value in a different function.
fl is created at line (9) and given
the value 3.14
& operator is used on fl at line (10) (do only
step 1, get the address). The address is stored in the integer variable addr.
somefunc is called at line (11)
and fl's address is passed as an argument.somefunc begins at line (2),
fptr is created and fl's address is copied
into fptr.
* operator is used on fptr at line (4) -- do step 2, the contents stored in an address are retrieved. In this example, the contents at address 924 are retrieved.99.9.
fl are printed to the screen.Even though we have shown that an address is nothing more than a simple integer, the creators of the language were afraid we might confuse variables in our programs. We might confuse integers we intend to use for program values (e.g. variables storing ages, measurements, counters, etc.) with integers we intend to use for holding the addresses of our variables.
The language creators decided the best way to eliminate confusion was to create a different type of variable for holding addresses. A first attempt at this might have looked something like this:
1:... 2: float fl=3.14; 3: float Ptr addr = &fl; 4:...
On line (3), here is how to describe the addr variable:
(A) addr is an integer. (B) However, it is a special integer designed to hold the address of a (C) float
In the code above, line (3) is close to what the creators of the language
wanted except for one thing: using Ptr would require
introducing another keyword into the language. If there is one thing
that all C instructors like to brag about, it is how there are only
a very small number of keywords in the language. Well, using line (3)
as shown above would mean adding Ptr as another keyword to
the language.
To avoid this threat to the very fabric of the universe, the creators
cast about for something already being used in the language that could
do double duty as Ptr shown above. What they came up with
was the following:
1:... 2: float fl=3.14; 3: float * addr = &fl; 4:...
Even with the * instead of Ptr, addr is described the same way:
(A) addr is an integer. (B) However, it is a special integer designed to hold the address of a
(C) float
These variables are described this way, regardless of the type:
(A) addr is an integer. (B) However, it is a special integer designed to hold the address of a
(C) char
(A) addr is an integer. (B) However, it is a special integer designed to hold the address of an (C) int
This "...special integer..." way of describing these variables is a mouthful, so we shorten it and just say "addr is a float pointer" or "addr is a pointer to a float" (or char, or int, etc.).
Unfortunately, the language creators chose the * character
to replace Ptr. The * character is confusing because the
* character is also used to get the contents at an address
("do step 2 on a number"). These two uses of the *
character have nothing to do with each other.
Let's take one last look at our original code that illustrates the utility of separating out steps 1 & 2.
1: #include <stdio.h>
2: void somefunc(unsigned int fptr)
3: {
4: *(float*)fptr=99.9;
5: }
6:
7: int main()
8: {
9: float fl=3.14;
10: unsigned int addr=(unsigned int) &fl;
11: somefunc(addr);
12: printf("%.2f\n", fl);
13: return 0;
14: }
1: #include <iostream>
2: void somefunc(unsigned int fptr)
3: {
4: *(float*)fptr=99.9;
5: }
6:
7: int main()
8: {
9: float fl=3.14;
10: unsigned int addr=(unsigned int) &fl;
11: somefunc(addr);
12: std::cout << fl << std::endl;
13: return 0;
14: }
In nearly all of the code samples, you have been asked to ignore certain bits of the code. These bits of code have always appeared around those areas where we are either taking the address of a variable or getting the contents at an address (doing step 1 or step 2 on a variable)
Those bits of "syntax sugar" are there to keep the compiler from complaining. The first example of this in the above program is on line (10).
On line (10) we are taking the address of the floating
point number fl ("do only step 1 on a number").
After we get that address, we store it in addr.
Why would the compiler complain? Because when we assign the
address of fl to addr, the compiler
does not expect addr to be an unsigned
int. The compiler expects addr to be a
float *. That is, a special integer designed
to hold the address of a float. To keep the compiler from
complaining, we tell the compiler to treat &fl as
an unsigned int rather than a float *.
This "syntax sugar" that causes the compiler to treat
variables and expressions differently is called casting.
The way a programmer describes line (10) is: "The address of
fl is being cast into
an unsigned int and assigned to addr"
The other place casting occurs is on line (4). On line (4),
we are getting the contents at an address ("do step 2 on a
number/address"). Why would the compiler complain? Because the
compiler should get the contents of the address of a float.
The address of our float is in stored in fptr,
which is an unsigned int, not a float
*. We tell the compiler to treat fptr
as the address of a floating point number by casting it into a
float *. Once we tell the compiler this, we can
get the contents at the address without complaint.
From the previous section, you might be left with the impression
that whenever you deal with addresses and pointers, there is
a lot of casting. Not so. The only reason our examples up
till now have required casting is because we were storing our
addresses in unsigned int variables. The language
designers want us to store addresses in the "special integer"
variables, that is, the pointer variables they designed for
just such a purpose.
Once we replace our unsigned int variables
with these pointer variables, none of the casting
is required:
1: #include <stdio.h>
2: void somefunc(float* fptr)
3: {
4: *fptr=99.9;
5: }
6:
7: int main()
8: {
9: float fl=3.14;
10: float* addr = &fl;
11: somefunc(addr);
12: printf("%.2f\n", fl);
13: return 0;
14: }
1: #include <iostream>
2: void somefunc(float* fptr)
3: {
4: *fptr=99.9;
5: }
6:
7: int main()
8: {
9: float fl=3.14;
10: float* addr = &fl;
11: somefunc(addr);
12: std::cout << fl << std::endl;
13: return 0;
14: }
fl
the address is assigned to a variable designed to hold
it. No casting is required.addr is passed to the function in line (11),
addr is copied to fptr on line
(2).fptr is created as a float
pointer, that is a variable designed to hold the address of
a floating point number. As a result, no casting is needed
on line (4) where the contents at the address are retrieved.| 2006 April 7 | Corrected spelling errors |
| 2005 December 1 | Added tarball and zip file of source code |
| 2005 March 01 | Some formatting corrections made at the behest of my former mentor, and all-around upstanding citizen Jeff H. You're a wonderful human being, Jeff. Thanks! |
| 2003 June 12 | Reformatted document to be valid XHTML. Minor code corrections. |
| 2002 June 02 | Updated the C++ I/O preprocessor directives and I/O calls to conform to standard. |
| 2001 April 30 | Some minor corrections. |
| 1999 March 19 | Added C version of code. Minor corrections to text. |
The graphics in this tutorial were created using the freely distributed image manipulation program The GIMP. Information on The GIMP can be found at http://www.gimp.org/