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TermGenTests.fs
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TermGenTests.fs
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/// <summary>
/// Collections used in Starling.
/// </summary>
module Starling.Tests.TermGen
open Starling.TermGen
open Starling.Utils
open Starling.Utils.Testing
open Starling.Core.TypeSystem
open Starling.Core.Definer
open Starling.Core.Expr
open Starling.Core.Model
open Starling.Core.View
open Starling.Core.GuardedView
open Starling.Core.Symbolic
open Starling.Core.Var
/// <summary>
/// Tests for <c>TermGen</c>.
/// </summary>
module Tests =
open NUnit.Framework
module TestTermGen =
module TestNormalise =
[<Test>]
let ``normalise converts 3 instances of A(x)[4] to A(x)[12]`` () =
assertEqual
(iterated
(gfunc BTrue "A" [ normalBoolExpr (sbBefore "x") ] )
(IInt 12L : IntExpr<Sym<MarkedVar>>))
(normalise
(iterated
(gfunc BTrue "A" [ normalBoolExpr (sbBefore "x") ] )
(IInt 4L : IntExpr<Sym<MarkedVar>>))
3)
[<Test>]
let ``normalise converts 6 instances of A(x)[n] to A(x)[6*n]`` () =
assertEqual
(iterated
(gfunc BTrue "A" [ normalBoolExpr (sbBefore "x") ] )
(IMul [ siBefore "n"; IInt 6L ]))
(normalise
(iterated
(gfunc BTrue "A" [ normalBoolExpr (sbBefore "x") ] )
(siBefore "n"))
6)
[<Test>]
let ``normalise converts 1 instances of A(x)[n] to A(x)[n]`` () =
assertEqual
(iterated
(gfunc BTrue "A" [ normalBoolExpr (sbBefore "x") ] )
(siBefore "n"))
(normalise
(iterated
(gfunc BTrue "A" [ normalBoolExpr (sbBefore "x") ] )
(siBefore "n"))
1)
module TestWPreCreation =
open Starling.Collections
[<Test>]
let ``Subtracting different funcs yields the original func`` () =
assertEqual
(Multiset.singleton <|
iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 1L))
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 1L) ]
(Multiset.singleton
(iterated
(smgfunc BTrue "blop" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 11L))))
[<Test>]
let ``Subtracting emp from a single func yields the original func`` () =
assertEqual
(Multiset.singleton <|
iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 1L))
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 1L) ]
Multiset.empty)
[<Test>]
let ``Subtracting a single func from emp yields emp`` () =
assertEqual
Multiset.empty
(termGenWPreMinus
[]
(Multiset.singleton
(iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 1L))))
[<Test>]
let ``Subtracting emp from an iterated func yields the original func`` () =
assertEqual
(Multiset.singleton <|
iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 10L))
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 10L) ]
Multiset.empty)
[<Test>]
let ``Exact-subtracting an iterated func from itself cancels out`` () =
assertEqual
Multiset.empty
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 9L) ]
(Multiset.singleton
(iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 9L))))
[<Test>]
let ``Over-subtracting an iterated func from itself truncates`` () =
assertEqual
Multiset.empty
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 10L) ]
(Multiset.singleton
(iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 11L))))
[<Test>]
let ``Under-subtracting an iterated func from itself leaves a remainder`` () =
assertEqual
(Multiset.singleton <|
iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 4L))
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 10L) ]
(Multiset.singleton
(iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 6L))))
[<Test>]
let ``Subtraction normalises the subtracted view correctly`` () =
assertEqual
(Multiset.singleton <|
iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 2L))
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 5L)
iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 3L) ]
(Multiset.singleton
(iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 6L))))
[<Test>]
let ``Subtraction normalises the subtracting view correctly`` () =
assertEqual
(Multiset.singleton <|
iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 2L))
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 10L) ]
(Multiset.ofFlatList
[ iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 5L)
iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 3L) ] ))
[<Test>]
let ``Subtracting a func from one with the same name generates an x!=y guard`` () =
assertEqual
(Multiset.singleton
(iterated
(smgfunc
(BNot (bEq (sbGoal 0I "bar")
(sbAfter "baz")))
"foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 1L)))
(termGenWPreMinus
[ iterated
(smvfunc "foo" [ normalBoolExpr (sbGoal 0I "bar") ])
(IInt 1L) ]
(Multiset.singleton
(iterated
(smgfunc BTrue "foo" [ normalBoolExpr (sbAfter "baz") ])
(IInt 1L))))
[<Test>]
let ``General-case subtraction on one func produces the correct rewrite`` () =
assertEqual
(Multiset.ofFlatList
[ (iterated
(smgfunc
(mkNot
(mkAnd
[ sbBefore "G"
bEq (sbAfter "x") (sbAfter "y") ]))
"A" [ normalBoolExpr (sbAfter "x") ])
(siAfter "n"))
(iterated
(smgfunc
(BAnd
[ sbBefore "G"
bEq (sbAfter "x") (sbAfter "y")
mkIntGt (siAfter "n") (siAfter "k") ])
"A" [ normalBoolExpr (sbAfter "x") ])
(mkSub2 (siAfter "n") (siAfter "k"))) ])
(termGenWPreMinus
[ iterated
(smvfunc "A" [ normalBoolExpr (sbAfter "x") ])
(siAfter "n") ]
(Multiset.singleton
(iterated
(smgfunc (sbBefore "G") "A" [ normalBoolExpr (sbAfter "y") ])
(siAfter "k"))))
module TestIterFlatten =
open Starling.TermGen.Iter
module TestLowerGuards =
let protos =
FuncDefiner.ofSeq
[ (dfunc "f" [Bool (normalRec, "x")], { IsIterated = true; IsAnonymous = false })
(dfunc "g" [Bool (normalRec, "x")], { IsIterated = false; IsAnonymous = false }) ]
[<Test>]
let ``Drop iterated subview down to non-iterated subview`` ()=
Assert.That(
okOption <|
lowerIteratedSubview
protos
{ Cond = BTrue
Item =
[ iterated
(smvfunc "f" [normalBoolExpr BTrue])
(IInt 3L) ] },
Is.EqualTo(
Some <|
{ Cond = (BTrue : BoolExpr<Sym<MarkedVar>>)
Item = [ smvfunc "f" [normalIntExpr (IInt 3L); normalBoolExpr BTrue] ] }))
[<Test>]
let ``Drop iterated SMVFunc down to non-iterated SMVFunc`` ()=
Assert.That(
okOption <|
lowerIterSMVFunc
protos
(iterated
(smvfunc "f" [normalBoolExpr (sbAfter "x")])
(mkMul2 (IInt 2L) (siBefore "n"))),
Is.EqualTo(
Some <|
[ smvfunc "f"
[ normalIntExpr (mkMul2 (IInt 2L) (siBefore "n"))
normalBoolExpr (sbAfter "x") ]]))
[<Test>]
let ``Drop non-iterated IteratedSMVFunc's down to non-iterated SMVFunc`` ()=
Assert.That(
okOption <|
lowerIterSMVFunc
protos
(iterated
(smvfunc "g" [normalBoolExpr (sbAfter "z")])
(IInt 4L)),
Is.EqualTo(
Some <|
[ for x in 1..4 -> smvfunc "g" [ normalBoolExpr (sbAfter "z") ]]))
(*
* old termgen test before iterated views were added
*
/// <summary>
/// NUnit tests for <c>TermGen</c>.
/// </summary>
type NUnit () =
/// <summary>
/// Test cases for <c>termGenWPreMinus</c>.
/// </summary>
/// <summary>
/// Tests <c>termGenWPreMinus</c>.
/// </summary>
[<TestCaseSource("FrameSubtracts")>]
member x.``termGenWPreMinus performs multiset minus correctly`` r q =
termGenWPreMinus r q
*)