diff options
author | Rustan Leino <leino@microsoft.com> | 2016-02-12 16:47:51 -0800 |
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committer | Rustan Leino <leino@microsoft.com> | 2016-02-12 16:47:51 -0800 |
commit | 7ce69481c0b6af79a6d6542989832cd90fc5690f (patch) | |
tree | a91488b8ad92bc69718f2d5fda1d44082a3959de /Test/civl/Program4.bpl | |
parent | abee810ceedbf551194788164fdf723edc511c0c (diff) | |
parent | 5fb565e439255ede7dc3653708af41678b6c1062 (diff) |
Merge branch 'master' of https://github.com/boogie-org/boogie
Diffstat (limited to 'Test/civl/Program4.bpl')
-rw-r--r-- | Test/civl/Program4.bpl | 119 |
1 files changed, 95 insertions, 24 deletions
diff --git a/Test/civl/Program4.bpl b/Test/civl/Program4.bpl index 68c2a5f3..11ba8afa 100644 --- a/Test/civl/Program4.bpl +++ b/Test/civl/Program4.bpl @@ -1,67 +1,138 @@ // RUN: %boogie -noinfer -typeEncoding:m -useArrayTheory "%s" > "%t" // RUN: %diff "%s.expect" "%t" -type Tid; -var {:layer 0,1} a:[Tid]int; +var {:layer 0,2} a:[int]int; +var {:layer 0,1} count: int; +var {:layer 1,1} {:linear "tid"} allocated:[int]bool; -procedure {:yields} {:layer 1} main() { - var {:linear "tid"} tid:Tid; +procedure {:yields} {:layer 2} main() +requires {:layer 1} allocated == MapConstBool(false); +{ + var {:layer 1} {:linear "tid"} tid:int; + var i: int; yield; - while (true) { - call tid := Allocate(); - async call P(tid); + assert {:layer 1} AllocInv(count, allocated); + while (true) + invariant {:layer 1} AllocInv(count, allocated); + { + call tid, i := Allocate(); + async call P(tid, i); yield; + assert {:layer 1} AllocInv(count, allocated); } yield; } -procedure {:yields} {:layer 1} P({:linear "tid"} tid: Tid) -ensures {:layer 1} a[tid] == old(a)[tid] + 1; +procedure {:yields} {:layer 2} P({:layer 1} {:linear "tid"} tid: int, i: int) +requires {:layer 1} tid == i; +requires {:layer 1} AllocInv(count, allocated); +ensures {:layer 1} AllocInv(count, allocated); +ensures {:layer 2} a[tid] == old(a)[tid] + 1; { var t:int; yield; - assert {:layer 1} a[tid] == old(a)[tid]; - call t := Read(tid); + assert {:layer 1} AllocInv(count, allocated); + assert {:layer 2} a[tid] == old(a)[tid]; + call t := Read(tid, i); yield; - assert {:layer 1} a[tid] == t; - call Write(tid, t + 1); + assert {:layer 1} AllocInv(count, allocated); + assert {:layer 2} a[tid] == t; + call Write(tid, i, t + 1); yield; - assert {:layer 1} a[tid] == t + 1; + assert {:layer 1} AllocInv(count, allocated); + assert {:layer 2} a[tid] == t + 1; } -procedure {:yields} {:layer 1} Allocate() returns ({:linear "tid"} tid: Tid) +procedure {:yields} {:layer 1,2} Allocate() returns ({:layer 1} {:linear "tid"} tid: int, i: int) +requires {:layer 1} AllocInv(count, allocated); +ensures {:layer 1} AllocInv(count, allocated); +ensures {:layer 1} tid == i; +ensures {:atomic} +|{A: + return true; +}|; { yield; - call tid := AllocateLow(); + assert {:layer 1} AllocInv(count, allocated); + call i := AllocateLow(); + call tid := MakeLinear(i); yield; + assert {:layer 1} AllocInv(count, allocated); } -procedure {:yields} {:layer 0,1} Read({:linear "tid"} tid: Tid) returns (val: int); +procedure {:yields} {:layer 1,2} Read({:layer 1} {:linear "tid"} tid: int, i: int) returns (val: int) +requires {:layer 1} tid == i; +requires {:layer 1} AllocInv(count, allocated); +ensures {:layer 1} AllocInv(count, allocated); ensures {:atomic} |{A: val := a[tid]; return true; }|; +{ + yield; + assert {:layer 1} AllocInv(count, allocated); + call val := ReadLow(i); + yield; + assert {:layer 1} AllocInv(count, allocated); +} -procedure {:yields} {:layer 0,1} Write({:linear "tid"} tid: Tid, val: int); +procedure {:yields} {:layer 1,2} Write({:layer 1} {:linear "tid"} tid: int, i: int, val: int) +requires {:layer 1} tid == i; +requires {:layer 1} AllocInv(count, allocated); +ensures {:layer 1} AllocInv(count, allocated); ensures {:atomic} |{A: a[tid] := val; return true; }|; +{ + yield; + assert {:layer 1} AllocInv(count, allocated); + call WriteLow(i, val); + yield; + assert {:layer 1} AllocInv(count, allocated); +} -procedure {:yields} {:layer 0,1} AllocateLow() returns ({:linear "tid"} tid: Tid); -ensures {:atomic} |{ A: return true; }|; +function {:inline} AllocInv(count: int, allocated:[int]bool): (bool) +{ + (forall x: int :: allocated[x] ==> x < count) +} + +procedure {:yields} {:layer 0,1} ReadLow(i: int) returns (val: int); +ensures {:atomic} +|{A: + val := a[i]; return true; +}|; + +procedure {:yields} {:layer 0,1} WriteLow(i: int, val: int); +ensures {:atomic} +|{A: + a[i] := val; return true; +}|; +procedure {:yields} {:layer 0,1} AllocateLow() returns (i: int); +ensures {:atomic} +|{A: + i := count; + count := i + 1; + return true; +}|; +// We can prove that this primitive procedure preserves the permission invariant locally. +// We only need to using its specification and the definitions of TidCollector and TidSetCollector. +procedure {:layer 1} MakeLinear(i: int) returns ({:linear "tid"} tid: int); +requires !allocated[i]; +modifies allocated; +ensures tid == i && allocated == old(allocated)[i := true]; -function {:builtin "MapConst"} MapConstBool(bool): [Tid]bool; -function {:builtin "MapOr"} MapOr([Tid]bool, [Tid]bool) : [Tid]bool; +function {:builtin "MapConst"} MapConstBool(bool): [int]bool; +function {:builtin "MapOr"} MapOr([int]bool, [int]bool) : [int]bool; -function {:inline} {:linear "tid"} TidCollector(x: Tid) : [Tid]bool +function {:inline} {:linear "tid"} TidCollector(x: int) : [int]bool { MapConstBool(false)[x := true] } -function {:inline} {:linear "tid"} TidSetCollector(x: [Tid]bool) : [Tid]bool +function {:inline} {:linear "tid"} TidSetCollector(x: [int]bool) : [int]bool { x } |