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LARA
inox
Commits
a5cfd07a
Commit
a5cfd07a
authored
9 years ago
by
Manos Koukoutos
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Fix mergeSort in list algorithms
parent
f4843e87
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1 changed file
testcases/verification/list-algorithms/MergeSort.scala
+11
-5
11 additions, 5 deletions
testcases/verification/list-algorithms/MergeSort.scala
with
11 additions
and
5 deletions
testcases/verification/list-algorithms/MergeSort.scala
+
11
−
5
View file @
a5cfd07a
...
@@ -26,7 +26,12 @@ object MergeSort {
...
@@ -26,7 +26,12 @@ object MergeSort {
}
}
def
split
(
l
:
List
[
BigInt
])
:
(
List
[
BigInt
],
List
[
BigInt
])
=
{
def
split
(
l
:
List
[
BigInt
])
:
(
List
[
BigInt
],
List
[
BigInt
])
=
{
require
(
l
.
size
>
1
)
l
match
{
l
match
{
case
Cons
(
h1
,
Cons
(
h2
,
Nil
()))
=>
(
List
(
h1
),
List
(
h2
))
case
Cons
(
h1
,
Cons
(
h2
,
Cons
(
h3
,
Nil
())))
=>
(
List
(
h1
,
h3
),
List
(
h2
))
case
Cons
(
h1
,
Cons
(
h2
,
tail
))
=>
case
Cons
(
h1
,
Cons
(
h2
,
tail
))
=>
val
(
rec1
,
rec2
)
=
split
(
tail
)
val
(
rec1
,
rec2
)
=
split
(
tail
)
(
h1
::
rec1
,
h2
::
rec2
)
(
h1
::
rec1
,
h2
::
rec2
)
...
@@ -34,15 +39,16 @@ object MergeSort {
...
@@ -34,15 +39,16 @@ object MergeSort {
}
}
}
ensuring
{
(
res
:
(
List
[
BigInt
],
List
[
BigInt
]))
=>
}
ensuring
{
(
res
:
(
List
[
BigInt
],
List
[
BigInt
]))
=>
val
(
r1
,
r2
)
=
res
val
(
r1
,
r2
)
=
res
r1
.
size
<
l
.
size
&&
r2
.
size
<
l
.
size
&&
r1
.
size
+
r2
.
size
==
l
.
size
&&
r1
.
size
+
r2
.
size
==
l
.
size
&&
r1
.
content
++
r2
.
content
==
l
.
content
&&
r1
.
content
++
r2
.
content
==
l
.
content
r1
.
size
-
r2
.
size
<=
1
&&
r2
.
size
-
r1
.
size
<=
1
}
}
def
mergeSort
(
l
:
List
[
BigInt
])
:
List
[
BigInt
]
=
{
def
mergeSort
(
l
:
List
[
BigInt
])
:
List
[
BigInt
]
=
{
val
(
l1
,
l2
)
=
split
(
l
)
if
(
l
.
size
<=
1
)
l
else
{
merge
(
mergeSort
(
l1
),
mergeSort
(
l2
))
val
(
l1
,
l2
)
=
split
(
l
)
merge
(
mergeSort
(
l1
),
mergeSort
(
l2
))
}
}
ensuring
(
res
=>
}
ensuring
(
res
=>
isSorted
(
res
)
&&
isSorted
(
res
)
&&
res
.
content
==
l
.
content
&&
res
.
content
==
l
.
content
&&
...
...
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