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Add tests for SequencesExt SelectInSubSeq and SelectLastInSubSeq #132

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Merged
lemmy merged 2 commits into from
Oct 3, 2026
Merged

Add tests for SequencesExt SelectInSubSeq and SelectLastInSubSeq #132

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22baed5
Add tests for SequencesExt SelectInSubSeq and SelectLastInSubSeq
lemmy Oct 3, 2026
674d399
Make SelectInSubSeq and SelectLastInSubSeq return indices into seq
lemmy Oct 3, 2026
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6 changes: 4 additions & 2 deletions modules/SequencesExt.tla
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Original file line number Diff line number Diff line change
Expand Up @@ -167,7 +167,8 @@ SelectInSeq(seq, Test(_)) ==
(* FALSE for all elements. *)
(*************************************************************************)
SelectInSubSeq(seq, from, to, Test(_)) ==
SelectInSeq(SubSeq(seq, from, to), Test)
LET I == { i \in from..to : Test(seq[i]) }
IN IF I # {} THEN Min(I) ELSE 0

(*************************************************************************)
(* Selects the index of the last element such that Test(seq[i]) is true *)
Expand All @@ -183,7 +184,8 @@ SelectLastInSeq(seq, Test(_)) ==
(* FALSE for all elements. *)
(*************************************************************************)
SelectLastInSubSeq(seq, from, to, Test(_)) ==
SelectLastInSeq(SubSeq(seq, from, to), Test)
LET I == { i \in from..to : Test(seq[i]) }
IN IF I # {} THEN Max(I) ELSE 0

-----------------------------------------------------------------------------

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20 changes: 20 additions & 0 deletions tests/SequencesExtTests.tla
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Expand Up @@ -447,6 +447,26 @@ ASSUME AssertEq(SelectLastInSubSeq(<<>>, 1, Len(<<>>), Op), 0)
ASSUME AssertEq(SelectLastInSubSeq(<<1,1,2>> , 1, 3, LAMBDA e : e = 1), 2)
ASSUME AssertEq(SelectLastInSubSeq(<<1,1,2,2>>, 2, 4, LAMBDA e : e = 2), 4)

SelectInSubSeqPure(seq, from, to, Test(_)) ==
LET I == { i \in from..to : Test(seq[i]) }
IN IF I # {} THEN CHOOSE i \in I : \A j \in I : i <= j ELSE 0

SelectLastInSubSeqPure(seq, from, to, Test(_)) ==
LET I == { i \in from..to : Test(seq[i]) }
IN IF I # {} THEN CHOOSE i \in I : \A j \in I : i >= j ELSE 0

ASSUME AssertEq(SelectInSubSeq(<<1,1,2>>, 2, 3, LAMBDA e : e = 1), SelectInSubSeqPure(<<1,1,2>>, 2, 3, LAMBDA e : e = 1))
ASSUME AssertEq(SelectInSubSeq(<<1,1,2,2>>, 2, 4, LAMBDA e : e = 2), SelectInSubSeqPure(<<1,1,2,2>>, 2, 4, LAMBDA e : e = 2))
ASSUME AssertEq(SelectLastInSubSeq(<<1,1,2,2>>, 2, 4, LAMBDA e : e = 2), SelectLastInSubSeqPure(<<1,1,2,2>>, 2, 4, LAMBDA e : e = 2))

ASSUME \A seq \in BoundedSeq(1..3, 4):
\A from \in 1..Len(seq) + 1, to \in 0..Len(seq):
\A v \in 1..3:
/\ AssertEq(SelectInSubSeq(seq, from, to, LAMBDA e : e = v),
SelectInSubSeqPure(seq, from, to, LAMBDA e : e = v))
/\ AssertEq(SelectLastInSubSeq(seq, from, to, LAMBDA e : e = v),
SelectLastInSubSeqPure(seq, from, to, LAMBDA e : e = v))

-----------------------------------------------------------------------------

ASSUME AssertEq(Suffixes(<<>>), {<<>>})
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