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Bucket_Sort.c
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Bucket_Sort.c
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/*
* Algorithm : Bucket Sort
* Time-Complexity : O(n)
*/
#include
<stdio.h>
#include
<stdlib.h>
#include
<assert.h>
#define
NARRAY
8
/* array size */
#define
NBUCKET
5
/* bucket size */
#define
INTERVAL
10
/* bucket range */
struct
Node
{
int
data
;
struct
Node
*
next
;
};
void
BucketSort
(
int
arr
[]);
struct
Node
*
InsertionSort
(
struct
Node
*
list
);
void
print
(
int
arr
[]);
void
printBuckets
(
struct
Node
*
list
);
int
getBucketIndex
(
int
value
);
void
BucketSort
(
int
arr
[])
{
int
i
,
j
;
struct
Node
*
*
buckets
;
/* allocate memory for array of pointers to the buckets */
buckets
=
(
struct
Node
*
*
)
malloc
(
sizeof
(
struct
Node
*
)
*
NBUCKET
);
/* initialize pointers to the buckets */
for
(
i
=
0
;
i
<
NBUCKET
;
++
i
)
{
buckets
[
i
]
=
NULL
;
}
/* put items into the buckets */
/* creates a link list in each bucket slot */
for
(
i
=
0
;
i
<
NARRAY
;
++
i
)
{
struct
Node
*
current
;
int
pos
=
getBucketIndex
(
arr
[
i
]);
current
=
(
struct
Node
*
)
malloc
(
sizeof
(
struct
Node
));
current
->
data
=
arr
[
i
];
current
->
next
=
buckets
[
pos
];
buckets
[
pos
]
=
current
;
}
/* check what's in each bucket */
for
(
i
=
0
;
i
<
NBUCKET
;
i
++
)
{
printf
(
"Bucket[\"%d\"] : "
,
i
);
printBuckets
(
buckets
[
i
]);
printf
(
"\n"
);
}
/* sorting bucket using Insertion Sort */
for
(
i
=
0
;
i
<
NBUCKET
;
++
i
)
{
buckets
[
i
]
=
InsertionSort
(
buckets
[
i
]);
}
/* check what's in each bucket */
printf
(
"--------------\n"
);
printf
(
"Buckets after sorted\n"
);
for
(
i
=
0
;
i
<
NBUCKET
;
i
++
)
{
printf
(
"Bucket[\"%d\"] : "
,
i
);
printBuckets
(
buckets
[
i
]);
printf
(
"\n"
);
}
/* put items back to original array */
for
(
j
=
0
,
i
=
0
;
i
<
NBUCKET
;
++
i
)
{
struct
Node
*
node
;
node
=
buckets
[
i
];
while
(
node
)
{
// precondition for avoiding out of bounds by the array
assert
(
j
<
NARRAY
);
arr
[
j
++
]
=
node
->
data
;
node
=
node
->
next
;
}
}
/* free memory */
for
(
i
=
0
;
i
<
NBUCKET
;
++
i
)
{
struct
Node
*
node
;
node
=
buckets
[
i
];
while
(
node
)
{
struct
Node
*
tmp
;
tmp
=
node
;
node
=
node
->
next
;
free
(
tmp
);
}
}
free
(
buckets
);
return
;
}
/* Insertion Sort */
struct
Node
*
InsertionSort
(
struct
Node
*
list
)
{
struct
Node
*
k
,
*
nodeList
;
/* need at least two items to sort */
if
(
list
==
NULL
||
list
->
next
==
NULL
)
{
return
list
;
}
nodeList
=
list
;
k
=
list
->
next
;
nodeList
->
next
=
NULL
;
/* 1st node is new list */
while
(
k
!=
NULL
)
{
struct
Node
*
ptr
;
/* check if insert before first */
if
(
nodeList
->
data
>
k
->
data
)
{
struct
Node
*
tmp
;
tmp
=
k
;
k
=
k
->
next
;
// important for the while
tmp
->
next
=
nodeList
;
nodeList
=
tmp
;
continue
;
}
// from begin up to end
// finds [i] > [i+1]
for
(
ptr
=
nodeList
;
ptr
->
next
!=
NULL
;
ptr
=
ptr
->
next
)
{
if
(
ptr
->
next
->
data
>
k
->
data
)
break
;
}
// if found (above)
if
(
ptr
->
next
!=
NULL
)
{
struct
Node
*
tmp
;
tmp
=
k
;
k
=
k
->
next
;
// important for the while
tmp
->
next
=
ptr
->
next
;
ptr
->
next
=
tmp
;
continue
;
}
else
{
ptr
->
next
=
k
;
k
=
k
->
next
;
// important for the while
ptr
->
next
->
next
=
NULL
;
continue
;
}
}
return
nodeList
;
}
int
getBucketIndex
(
int
value
)
{
return
value
/
INTERVAL
;
}
void
print
(
int
ar
[])
{
int
i
;
for
(
i
=
0
;
i
<
NARRAY
;
++
i
)
{
printf
(
"%d "
,
ar
[
i
]);
}
printf
(
"\n"
);
}
void
printBuckets
(
struct
Node
*
list
)
{
struct
Node
*
cur
=
list
;
while
(
cur
)
{
printf
(
"%d "
,
cur
->
data
);
cur
=
cur
->
next
;
}
}
int
main
(
void
)
{
int
array
[
NARRAY
]
=
{
29
,
25
,
-1
,
49
,
9
,
37
,
21
,
43
};
printf
(
"Initial array\n"
);
print
(
array
);
printf
(
"------------\n"
);
BucketSort
(
array
);
printf
(
"------------\n"
);
printf
(
"Sorted array\n"
);
print
(
array
);
return
0
;
}
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