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Algorithm/Algorithm_full_features/sort/ShellSort.java at master · shellteo/Algorithm · GitHub
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Algorithm
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Algorithm_full_features
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sort
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ShellSort.java
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Algorithm
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Algorithm_full_features
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sort
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ShellSort.java
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/**
* Shell Sort
*
* The `ShellSort` class provides static method for sorting an array using Shellsort
* with Knuth's increment sequence(1, 4, 13, 40, ...)
*/
public
class
Shell
{
private
Shell
() {}
// Rearranges the array in ascending order, using natural order.
public
static
void
sort
(
Comparable
[]
a
) {
int
n
=
a
.
length
;
// 3x + 1 Knuth's increment sequence: 1, 4, 13, 40, 121, 364,, 1093, 3280,...
int
h
=
1
;
while
(
h
<
n
/
3
)
h
=
3
*
h
+
1
;
while
(
h
>=
1
) {
// h-sort the array
for
(
int
i
=
h
;
i
<
n
;
i
++) {
for
(
int
j
=
i
;
j
>=
h
&&
less
(
a
[
j
],
a
[
j
-
h
]);
j
-=
h
) {
exchange
(
a
,
j
,
j
-
h
);
}
}
assert
isHsorted
(
a
,
h
);
h
/=
3
;
}
assert
isSorted
(
a
);
}
// helper functions
// is v < w?
private
static
boolean
less
(
Comparable
v
,
Comparable
w
) {
return
v
.
compareTo
(
w
) <
0
;
}
private
static
void
exchange
(
Object
[]
a
,
int
i
,
int
j
) {
Object
swap
=
a
[
i
];
a
[
i
] =
a
[
j
];
a
[
j
] =
swap
;
}
// check if the array is sorted
private
static
function
isSorted
(
Comparable
[]
a
) {
for
(
int
i
=
1
;
i
<
a
.
length
;
i
++)
if
(
less
(
a
[
i
],
a
[
i
-
1
]))
return
false
;
return
true
;
}
private
static
boolean
isHsorted
(
Comparable
[]
a
,
int
h
) {
for
(
int
i
=
h
;
i
<
a
.
length
;
i
++)
if
(
less
(
a
[
i
],
a
[
i
-
h
]))
return
false
;
return
true
;
}
// print
private
static
void
show
(
Comparable
[]
a
) {
for
(
int
i
=
0
;
i
<
a
.
length
;
i
++)
StdOut
.
println
(
a
[
i
]);
}
// test
public
static
void
main
(
String
[]
args
) {
String
[]
a
=
StdIn
.
readAllStrings
();
Shell
.
sort
(
a
);
show
(
a
);
}
}
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