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GraphTests.fs
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GraphTests.fs
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/// <summary>
/// Tests for <c>Graph</c>.
/// </summary>
module Starling.Tests.Graph
open Starling.Collections
open Starling.Utils
open Starling.Core.Model
open Starling.Core.Axiom
open Starling.Core.Command
open Starling.Core.Command.Create
open Starling.Core.View
open Starling.Core.GuardedView
open Starling.Core.Var
open Starling.Core.Symbolic
open Starling.Core.Expr
module Tests =
open Starling.Core.Graph
open Starling.Core.GuardedView
open NUnit.Framework
open Starling.Core.TypeSystem
open Starling.Utils.Testing
/// <summary>
/// Helper to generate a node-pair set from a list.
/// </summary>
let npset : (string * string) list -> Set<(string * string)> = Set.ofList
let oneGFunc (cnd : BoolExpr<Sym<Var>>) (name : string)
(ps : Expr<Sym<Var>> list)
: IteratedGFunc<Sym<Var>> =
iterated (svgfunc cnd name ps) (IInt 1L)
/// <summary>
/// Case studies for testing <c>Graph</c>.
/// </summary>
module Studies =
/// The guarded holdLock view.
let gHoldLock cnd : IteratedGFunc<Sym<Var>> =
oneGFunc cnd "holdLock" []
/// The guarded holdTick view.
let gHoldTick cnd : IteratedGFunc<Sym<Var>> =
oneGFunc cnd "holdTick" [normalIntExpr (siVar "t")]
let ticketLockLockGraph : Graph =
{ Name = "lock"
Contents =
Map.ofList
[ ("lock_V000",
((Mandatory <| Multiset.empty,
Set.singleton
{ OutEdge.Name = "lock_C000"
OutEdge.Dest = "lock_V001"
OutEdge.Command =
[ command "!ILoad++"
[ normalIntExpr (siVar "t")
normalIntExpr (siVar "ticket") ]
[ normalIntExpr (siVar "t")
normalIntExpr (siVar "ticket")]] },
Set.empty,
Entry)))
("lock_V001",
(Mandatory <| Multiset.singleton (gHoldTick BTrue),
Set.singleton
{ Name = "lock_C004"
Dest = "lock_V003"
Command = [] },
Set.singleton
{ Name = "lock_C000"
Src = "lock_V000"
Command =
[ command "!ILoad++"
[ normalIntExpr (siVar "t")
normalIntExpr (siVar "ticket"); ]
[ normalIntExpr (siVar "t")
normalIntExpr (siVar "ticket") ]] },
NodeKind.Normal ))
("lock_V002",
(Mandatory <| Multiset.singleton (gHoldLock BTrue),
Set.empty,
Set.singleton
{ Name = "lock_C003"
Src = "lock_V004"
Command =
[ command "Assume" []
[ normalBoolExpr
(iEq (siVar "s")
(siVar "t")) ]] },
Exit))
("lock_V003",
(Mandatory <| Multiset.singleton (gHoldTick BTrue),
Set.singleton
{ Name = "lock_C001"
Dest = "lock_V004"
Command =
[ command "!ILoad"
[ normalIntExpr (siVar "s") ]
[ normalIntExpr (siVar "serving") ]] },
Set.ofList
[ { Name = "lock_C002"
Src = "lock_V004"
Command =
[ command "Assume" []
[ normalBoolExpr
(BNot (iEq (siVar "s")
(siVar "t"))) ]] }
{ Name = "lock_C004"
Src = "lock_V001"
Command = [] } ],
NodeKind.Normal))
("lock_V004",
(Mandatory <|
Multiset.ofFlatList
[ gHoldLock (iEq (siVar "s") (siVar "t"))
gHoldTick (BNot (iEq (siVar "s") (siVar "t"))) ],
Set.ofList
[ { Name = "lock_C002"
Dest = "lock_V003"
Command =
[ command "Assume" []
[ normalBoolExpr
(BNot (iEq (siVar "s")
(siVar "t"))) ]] }
{ Name = "lock_C003"
Dest = "lock_V002"
Command =
[ command "Assume" []
[ normalBoolExpr
(iEq (siVar "s")
(siVar "t")) ]] } ],
Set.singleton
{ Name = "lock_C001"
Src = "lock_V003"
Command =
[ command "!ILoad"
[ normalIntExpr (siVar "s") ]
[ normalIntExpr (siVar "serving") ]] },
NodeKind.Normal)) ] }
/// The CFG for the ticket lock unlock method.
let ticketLockUnlockGraph : Graph =
{ Name = "unlock"
Contents =
Map.ofList
[ ("unlock_V000",
(Mandatory <|
Multiset.singleton
(oneGFunc BTrue "holdLock" [] ),
Set.singleton
{ Name = "unlock_C000"
Dest = "unlock_V001"
Command =
[ command "!I++"
[ normalIntExpr (siVar "serving") ]
[ normalIntExpr (siVar "serving") ]] },
Set.empty,
Entry))
("unlock_V001",
(Mandatory <| Multiset.empty,
Set.empty,
Set.singleton
{ Name = "unlock_C000"
Src = "unlock_V000"
Command =
[ command "!I++"
[ normalIntExpr (siVar "serving") ]
[ normalIntExpr (siVar "serving") ]] },
Exit)) ] }
/// The partial CFG for the ticket lock lock method.
let ticketLockLockSubgraph : Subgraph =
{ Nodes =
Map.ofList
[ ("lock_V000",
(Mandatory <| Multiset.empty, Entry))
("lock_V001", (Mandatory <| Multiset.singleton (gHoldTick BTrue), NodeKind.Normal))
("lock_V002", (Mandatory <| Multiset.singleton (gHoldLock BTrue), Exit))
("lock_V003", (Mandatory <| Multiset.singleton (gHoldTick BTrue), NodeKind.Normal))
("lock_V004",
(Mandatory <|
Multiset.ofFlatList
[ gHoldLock (iEq (siVar "s") (siVar "t"))
gHoldTick (BNot (iEq (siVar "s") (siVar "t"))) ], NodeKind.Normal)) ]
Edges =
Map.ofList
[ ("lock_C000",
edge "lock_V000"
[ command "!ILoad++"
[ normalIntExpr (siVar "t")
normalIntExpr (siVar "ticket") ]
[ normalIntExpr (siVar "t")
normalIntExpr (siVar "ticket") ]]
"lock_V001")
("lock_C001",
edge "lock_V003"
[ command "!ILoad"
[ normalIntExpr (siVar "s") ]
[ normalIntExpr (siVar "serving") ]]
"lock_V004")
("lock_C002",
edge "lock_V004"
[ command "Assume"
[]
[ normalBoolExpr
(BNot (iEq (siVar "s")
(siVar "t"))) ]]
"lock_V003")
("lock_C003",
edge "lock_V004"
[ command "Assume"
[]
[ normalBoolExpr
(iEq (siVar "s")
(siVar "t")) ]]
"lock_V002")
("lock_C004",
edge "lock_V001"
[]
"lock_V003") ] }
/// The partial CFG for the ticket lock unlock method.
let ticketLockUnlockSubgraph : Subgraph =
{ Nodes =
Map.ofList
[ ("unlock_V000",
(Mandatory <|
Multiset.singleton
(oneGFunc BTrue "holdLock" [] ), Entry))
("unlock_V001", (Mandatory <| Multiset.empty, Exit)) ]
Edges =
Map.ofList
[ ("unlock_C000",
edge "unlock_V000"
[ command "!I++"
[ normalIntExpr (siVar "serving") ]
[ normalIntExpr (siVar "serving") ]]
"unlock_V001" ) ] }
/// <summary>
/// NUnit tests for <c>Graph</c>.
/// </summary>
type NUnit () =
/// <summary>
/// Test cases for checking edge addition.
/// </summary>
static member Adds =
[ TestCaseData(("unlock_N0", "unlock_V001", "unlock_V000"))
.Returns(
Some <|
Map.ofList
[ ("unlock_V000",
(Mandatory <|
Multiset.singleton
(Studies.gHoldLock BTrue),
Set.singleton
{ Name = "unlock_C000"
Dest = "unlock_V001"
Command =
[ command "!I++"
[ normalIntExpr (siVar "serving") ]
[ normalIntExpr (siVar "serving") ]] },
Set.singleton
{ Name = "unlock_N0"
Src = "unlock_V001"
Command = [] },
Entry ))
("unlock_V001",
(Mandatory <| Multiset.empty,
Set.singleton
{ Name = "unlock_N0"
Dest = "unlock_V000"
Command = [] },
Set.singleton
{ Name = "unlock_C000"
Src = "unlock_V000"
Command =
[ command "!I++"
[ normalIntExpr (siVar "serving") ]
[ normalIntExpr (siVar "serving") ]] },
Exit)) ] )
.SetName("Adding a valid, unique edge to unlock works")]
/// <summary>
/// Tests <c>mkEdgeBetween</c>.
/// </summary>
[<TestCaseSource("Adds")>]
member x.``mkEdgeBetween adds edges correctly`` nsd =
let n, s, d = nsd
Studies.ticketLockUnlockGraph
|> mkEdgeBetween s d n []
|> Option.map (fun g -> g.Contents)
/// <summary>
/// Test cases for checking unification.
/// </summary>
static member Unifies =
[ TestCaseData(("unlock_V001", "unlock_V000"))
.Returns(
Some <|
{ Nodes =
Map.ofList
[ ("unlock_V000",
(Mandatory <|
Multiset.singleton
(oneGFunc BTrue "holdLock" [] ),
EntryExit)) ]
Edges =
Map.ofList
[ ("unlock_C000",
edge "unlock_V000"
[ command "!I++"
[ normalIntExpr (siVar "serving") ]
[ normalIntExpr (siVar "serving") ]]
"unlock_V000" ) ] } )
.SetName("unify C1 into C0 on the ticket lock 'unlock'")
TestCaseData(("unlock_V000", "unlock_V001"))
.Returns(
Some <|
{ Nodes =
Map.ofList
[ ("unlock_V001", (Mandatory <| Multiset.empty,
EntryExit)) ]
Edges =
Map.ofList
[ ("unlock_C000",
edge "unlock_V001"
[ command "!I++"
[ normalIntExpr (siVar "serving") ]
[ normalIntExpr (siVar "serving") ]]
"unlock_V001" ) ] } )
.SetName("unify C0 into C1 on the ticket lock 'unlock'")
TestCaseData(("unlock_V000", "unlock_V002"))
.Returns(None)
.SetName("unifying into non-existent nodes fails")
TestCaseData(("unlock_V002", "unlock_V000"))
.Returns(None)
.SetName("unifying non-existent nodes fails")
TestCaseData(("unlock_V000", "unlock_V000"))
.Returns(Some Studies.ticketLockUnlockSubgraph)
.SetName("unifying a node onto itself does nothing") ]
/// <summary>
/// Tests <c>unify</c>.
/// </summary>
[<TestCaseSource("Unifies")>]
member x.``unify unifies nodes correctly`` st =
let s, t = st
Studies.ticketLockUnlockGraph
|> unify s t
|> Option.map toSubgraph // TODO(CaptainHayashi): make unnecessary?
/// <summary>
/// Successful test cases for converting subgraphs to graphs.
/// </summary>
static member GoodSubgraphs =
[ TestCaseData(("empty", { Nodes = Map.empty ; Edges = Map.empty } ))
.Returns(Some { Name = "empty" ; Contents = Map.empty } )
.SetName("The empty subgraph makes a valid graph")
TestCaseData(("lock", Studies.ticketLockLockSubgraph))
.Returns(Some Studies.ticketLockLockGraph)
.SetName("Ticket lock 'lock' subgraph makes a valid graph")
TestCaseData(("unlock", Studies.ticketLockUnlockSubgraph))
.Returns(Some Studies.ticketLockUnlockGraph)
.SetName("Ticket lock 'unlock' subgraph makes a valid graph") ]
/// <summary>
/// Tests <c>graph</c>.
/// </summary>
[<TestCaseSource("GoodSubgraphs")>]
member x.``Valid complete subgraphs can be converted to graphs`` ns =
let (n, s) = ns
s |> graph n |> okOption
/// <summary>
/// Test cases for <c>InnerView</c>.
/// </summary>
static member ViewExprFlattens =
[ TestCaseData(Mandatory (Multiset.singleton (smgfunc BTrue "holdLock" [])))
.Returns(Multiset.singleton (smgfunc BTrue "holdLock" []))
.SetName("Flattening a mandatory viewexpr returns its view")
TestCaseData(Advisory
(Multiset.singleton
(smgfunc BTrue "holdTick"
[ normalIntExpr (siBefore "t") ] )))
.Returns(Multiset.singleton
(smgfunc BTrue "holdTick"
[ normalIntExpr (siBefore "t") ] ))
.SetName("Flattening an advisory viewexpr returns its view") ]
/// <summary>
/// Tests <c>InnerView</c>.
/// </summary>
[<TestCaseSource("ViewExprFlattens")>]
member x.``View expressions can be flattened into views``
(ve : ViewExpr<GView<Sym<MarkedVar>>>) =
match ve with InnerView v -> v