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When would you use a pointer to a function?

Pointers to functions are interesting when you pass them to other functions. A function that takes function
pointers says, in effect, "Part of what I do can be customized. Give me a pointer to a function, and I'll call
it when that part of the job needs to be done. That function can do its part for me." This is known as a
"callback." It's used a lot in graphical user interface libraries, in which the style of a display is built into the
library but the contents of the display are part of the application.

As a simpler example, say you have an array of character pointers (char*s), and you want to sort it by the value
of the strings the character pointers point to. The standard qsort() function uses function pointers to
perform that task. qsort() takes four arguments

1. a pointer to the beginning of the array,

2. the number of elements in the array,

3. the size of each array element, and

4. a comparison function.

and returns an int.

The comparison function takes two arguments, each a pointer to an element. The function returns 0 if the
pointed-to elements compare equal, some negative value if the first element is less than the second, and some
positive value if the first element is greater than the second. A comparison function for integers might look
like this:

int icmp( const int *p1, const int *p2 )
{
     return *p1 - *p2;
}

The sorting algorithm is part of qsort(). So is the exchange algorithm; it just copies bytes, possibly by calling
memcpy() or  memmove().  qsort() doesn't know what it's sorting, so it can't know how to compare them. That part is provided by the function pointer.

You can't use strcmp() as the comparison function for this example, for two reasons. The first reason is that
strcmp()'s type is wrong; more on that a little later. The second reason is that it won't work. strcmp() takes
two pointers to char and treats them as the first characters of two strings. The example deals with an array
of character pointers (char*s), so the comparison function must take two pointers to character pointers
(char*s). In this case, the following code might be an example of a good comparison function:

int strpcmp( const void *p1, const void *p2 )
{
     char * const *sp1 = (char * const *) p1;
     char * const *sp2 = (char * const *) p2;
     return strcmp( *sp1, *sp2 );
}

The call to qsort() might look something like this:

qsort( array, numElements, sizeof( char * ), pf2 );

qsort() will call strpcmp() every time it needs to compare two character pointers (char*s).

Why can't strcmp() be passed to qsort(), and why were the arguments of strpcmp() what they were?

A function pointer's type depends on the return type of the pointed-to function, as well as the number and
types of all its arguments. qsort() expects a function that takes two constant void pointers:

void qsort( void *base,
            size_t numElements,
            size_t sizeOfElement,
            int (*compFunct)( const void *, const void *) );

Because qsort() doesn't really know what it's sorting, it uses a void pointer in its argument (base) and in
the arguments to the comparison function. qsort()'s void* argument is easy; any pointer can be converted
to a void* without even needing a cast. The function pointer is harder.

For an array of character arrays,  strcmp() would have the right algorithm but the wrong argument types. The
simplest, safest way to handle this situation is to pass a function that takes the right argument types for
qsort() and then casts them to the right argument types. That's what strpcmp() does.

If you have a function that takes a char*, and you know that a char* and a void* are the same in every
environment your program might ever work in, you might cast the function pointer, rather than the pointed-
to function's arguments, in this way:

char     table[ NUM_ELEMENTS ][ ELEMENT_SIZE ];
/* ... */
/* passing strcmp() to qsort for array of array of char */
qsort( table, NUM_ELEMENTS, ELEMENT_SIZE,
  ( int (*)( const void *, const void * ) ) strcmp );

Casting the arguments and casting the function pointer both can be error prone. In practice, casting the
function pointer is more dangerous.

The basic problem here is using  void* when you have a pointer to an unknown type. C++ programs sometime
solve this problem with templates.