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Transcript
Advanced Pointers and Structures
• Pointers in structures
• Memory allocation
• Linked Lists
– Stacks and queues
• Trees
– Binary tree example
Structs which contain themselves
• Sometimes programmers want structs in C
to contain themselves.
• For example, we might design an electronic
dictionary which has a struct for each word
and we might want to refer to synonyms
which are also word structures.
word2: sprint
synonym1
synonym2
word1:run
synonym1
synonym2
word3: jog
synonym1
synonym2
How structs can contain
themselves
• Clearly a struct cannot literally contain
itself.
struct silly_struct {
/* This doesn't work */
…
struct silly_struct s1;
};
• But it can contain a pointer to the same type
of struct
struct good_struct { /* This does work */
…
struct *good_struct s2;
};
Memory allocation
• How to allocate memory dynamically?
– void *malloc(unsigned int);
– Example:
char *str;
str = malloc(80);
Now str can hold up to 80 Bytes.
Freeing memory
To free memory that was allocated using
malloc we use free function.
free returns the memory pointed by a given
pointer to the OS.
free(pointer)
pointer = NULL:
The linked list - a common use of
structs which contain themselves
• Imagine we are reading lines from a file but
don't know how many lines will be read.
• We need a structure which can extend itself.
head_of_list
information
information
information
nextptr
nextptr
nextptr= NULL
This is known as a linked list. By passing the value of the
head of the list to a function we can pass ALL the information.
How to set up a linked list
typedef struct list_item {
information in each item
struct list_item *nextptr;
} LIST_ITEM;
This structure (where information is what you want each
"node" of your linked list to contain). It is important that
the nextptr of the last bit of the list contains NULL so that
you know when to stop.
head of
NULL
list
Example -- Address book
typedef struct list {
char name[MAXLEN];
char address[MAXLEN];
char phone[MAXLEN];
struct list *next;
} ADDRESS;
ADDRESS *myabook= NULL;
/* Set the head of the list */
Linked list concepts
head of
list
NULL
Adding an item to the middle of the list
head of
list
NULL
move
this
link
head of
list
new item
points at next item
Deleting an item from the middle of the list
move this link
NULL
delete this node
Stacks and Queues
• Stacks use push and pop
– Push add a node at the head of a linked list.
– Pop remove the head node
• Queues
– Adding nodes at the head of the list
– Removing nodes at the end of a list
• So we need 2 pointers, one for the head and one for
the tail.
Tree
• A tree is a method for data (for example a
dictionary of words) where we wish to
easily be able to add items and find items
• Each element in the tree can lead to two (or
more) further elements.
struct TreeNode
{
... Data part
TreeNode* child1;
TreeNode* child2;
...
};
Binary Tree – Structure Example
• A binary tree is a data “structure”
• The basic data structure is a node which includes:
– The data contained in that node
– Pointers to two children nodes (left and right)
• 2 pointers == binary
• Left node pointer points to a node with data that is less
than the current node
• Right node pointer points to a node with data that is
greater than the current node
• All nodes to the left contain data less
• All nodes to the right contain data greater
– A leaf node is a node with no children
Binary Tree: Adding a node
• Simply add a leaf to the tree.
– Add 20
10
8
5
10
30
8
40
5
30
20
40
Binary Tree
10
8
5
30
20
40
• All nodes on the left are less than 10 and all on the right are greater than 10
• Add 15?
Binary Tree
10
8
30
5
20
40
15
• All nodes on the left are less than 10 and all on the right are greater than 10
• Add the value 9?
Insert
10
8
5
30
9
20
40
15
• All nodes on the left are less than 10 and all on the right are greater than 10
• Add 25?
Insert
10
8
5
30
9
20
15
40
25
• All nodes on the left are less than 10 and all on the right are greater than 10
• Remove 5?
Removing a node from a binary
tree
• Node has no children
– Simply remove it from tree
• Node has one child
– Remove the node and replace it with it’s child
• Node has two children
– Replace the node’s value with (2 options):
• the left-most value of the right tree.
• the right-most value of the left tree.
Remove Leaf
10
8
5
30
9
20
15
40
25
• All nodes on the left are less than 10 and all on the right are greater than 10
• Remove 8?
Remove node with one child
10
9
30
20
15
40
25
• All nodes on the left are less than 10 and all on the right are greater than 10
• Remove 20?
Remove node with two children
10
9
30
25
15
40
25
• Replace value with left-most value of the right tree
• All nodes on the left are less than 10 and all on the right are greater than 10
• Remove 10?
Remove node with two children
15
9
30
25
40
15
• Replace value with left-most value of the right tree
• All nodes on the left are less than 15 and all on the right are greater than 15
The Binary Tree Node Structure
struct BinaryTreeNode
{
int value;
BinaryTreeNode* left;
BinaryTreeNode* right;
};
Removing a node from a binary
tree
RemoveNode(node* head)
{
if (head->left == null) {
node* t = head;
head = head->right;
free_node(t);
} else if (head->right == null) {
node* t = head;
head = head->left;
free_node(t);
} else {
node * t = head->right;
while(t->left)
t = t->left;
head->value = t->value;
RemoveNode(t);
}
The binary tree
NULL
NULL
NULL
NULL
NULL
NULL
typedef struct tree {
char word[100];
NULL
struct tree *left;
struct tree *right;
} TREE;
Binary Tree Pros & Cons
• Finding an element is O(log n)
• Adding an element is O(log n) – O(1) if we
already know where to add it.
• Deleting an element may be complex
• Programming complexity is higher than a
linked list (just about)
Deleting an entire binary tree
• I think this code is elegant and worth
looking at: void delete_tree (TREE
*ptr)
{
if (ptr == NULL)
return;
delete_tree(ptr->left);
delete_tree(ptr->right);
free (ptr);
}
We can delete the whole tree with:
delete_tree(root_of_tree);
•
•
•
•
•
•
•
•
•
•
•
A binary tree example - words.c
/**************************************************************
* words -- scan a file and print out a list of words
*
*
in ASCII order.
*
*
*
* Usage:
*
*
words <file>
*
**************************************************************/
#include <stdio.h>
#include <ctype.h>
#include <string.h>
#include <stdlib.h>
• struct node {
•
struct node *left;
•
struct node *right;
•
char
*word;
• };
/* tree to the left */
/* tree to the right */
/* word for this tree */
• /* the top of the tree */
• static struct node *root = NULL;
void memory_error(void)
{
fprintf(stderr, "Error:Out of memory\n");
exit(8);
}
char *save_string(char *string)
{
char *new_string; /* where we are going to put string */
new_string = malloc((unsigned) (strlen(string) + 1));
if (new_string == NULL)
memory_error();
}
strcpy(new_string, string);
return (new_string);
void enter(struct node **node, char *word)
{ int result;
/* result of strcmp */
char *save_string(char *); /* save a string on the heap */
/* If the current node is null, we have reached the bottom
* of the tree and must create a new node.
*/
if ((*node) == NULL) {
/* Allocate memory for a new node */
(*node) = malloc(sizeof(struct node));
if ((*node) == NULL) memory_error();
/* Initialize the new node */
(*node)->left = NULL;
(*node)->right = NULL;
(*node)->word = save_string(word);
return;
}
}
/* Check to see where the word goes */
result = strcmp((*node)->word, word);
/* The current node already contains the word, no entry necessary */
if (result == 0)
return;
/* The word must be entered in the left or right sub-tree */
if (result < 0)
enter(&(*node)->right, word);
else
enter(&(*node)->left, word);
void scan(char *name)
{ char word[100]; /* word we are working on */
int index;
/* index into the word */
int ch;
/* current character */
FILE *in_file;
/* input file */
in_file = fopen(name, "r");
if (in_file == NULL) {
fprintf(stderr, "Error:Unable to open %s\n",
name);
exit(8);
}
while (1) {
ch = fgetc(in_file);
/* scan past the whitespace */
if (!isalpha(ch))
while (1) {
break;
ch = fgetc(in_file);
word[index] = ch;
if (isalpha(ch) || (ch == EOF))
}
break;
/* put a null on the end */
}
word[index] = '\0';
if (ch == EOF)
break;
enter(&root, word);
word[0] = ch;
}
for (index = 1;index < sizeof(word); ++index)
fclose(in_file);
{
}
void print_tree(struct node *top)
{
if (top == NULL)
return;
/* short tree */
}
print_tree(top->left);
printf("%s\n", top->word);
print_tree(top->right);
int main(int argc, char *argv[])
{
if (argc != 2) {
fprintf(stderr, "Error:Wrong number of parameters\n");
fprintf(stderr, "
on the command line\n");
fprintf(stderr, "Usage is:\n");
fprintf(stderr, " words 'file'\n");
exit(8);
}
scan(argv[1]);
print_tree(root);
return (0);
}