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WolframModel.wlt
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<|
"WolframModel" -> <|
"init" -> (
Attributes[Global`testUnevaluated] = Attributes[Global`testSymbolLeak] = {HoldAll};
Global`testUnevaluated[args___] := SetReplace`PackageScope`testUnevaluated[VerificationTest, args];
Global`testSymbolLeak[args___] := SetReplace`PackageScope`testSymbolLeak[VerificationTest, args];
$interestingRule = {{0, 1}, {0, 2}, {0, 3}} ->
{{4, 5}, {5, 4}, {4, 6}, {6, 4}, {5, 6},
{6, 5}, {4, 1}, {5, 2}, {6, 3}, {1, 6}, {3, 4}};
$interestingInit = {{0, 0}, {0, 0}, {0, 0}};
$namingTestModel = {$interestingRule, $interestingInit, 5, "FinalState"};
$timeConstraintRule = {{1, 2}} -> {{1, 3}, {3, 2}};
$timeConstraintInit = {{0, 0}};
maxVertexDegree[set_] := Max[Counts[Catenate[Union /@ set]]];
),
"tests" -> {
(* Symbol Leak *)
testSymbolLeak[
WolframModel[
{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, 5, "FinalState", Method -> #1, "VertexNamingFunction" -> #2]
] & @@@ Tuples[{$SetReplaceMethods, {Automatic, All}}],
(* Argument checks *)
(** Argument counts, simple rule and inits **)
testUnevaluated[
WolframModel,
{}
],
testUnevaluated[
WolframModel[],
{WolframModel::argb}
],
testUnevaluated[
WolframModel[x],
{}
],
testUnevaluated[
WolframModel[x, y],
{WolframModel::invalidWolframModelRules}
],
testUnevaluated[
WolframModel[x, y, z],
{WolframModel::invalidWolframModelRules}
],
testUnevaluated[
WolframModel[x, y, z, w],
{WolframModel::invalidWolframModelRules}
],
testUnevaluated[
WolframModel[x, y, z, w, a],
{WolframModel::nonopt}
],
testUnevaluated[
WolframModel[x, y, z, w, a, b],
{WolframModel::nonopt}
],
testUnevaluated[
WolframModel[f -> 3],
{}
],
testUnevaluated[
WolframModel[x, f -> 3],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[x, y, f -> 3],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[x, y, z, f -> 3],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[x, y, z, w, f -> 3],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[x, y, z, w, a, f -> 3],
{WolframModel::nonopt}
],
testUnevaluated[
WolframModel[x, y, z, w, a, b, f -> 3],
{WolframModel::nonopt}
],
testUnevaluated[
WolframModel[1 -> 2],
{}
],
testUnevaluated[
WolframModel[1 -> 2, f -> 2],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[1 -> 2, f -> 2][1],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[1 -> 2, f -> 2][{1}],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[1 -> 2, Method -> "LowLevel"][{1}],
{WolframModel::lowLevelNotImplemented}
],
testUnevaluated[
WolframModel[1 -> 2, Method -> "$$$InvalidMethod$$$"][{1}],
{WolframModel::invalidMethod}
],
testUnevaluated[
WolframModel[1 -> 2, 4],
{WolframModel::invalidState}
],
testUnevaluated[
WolframModel[1 -> 2, 4, g -> 2],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[1 -> 2][4],
{WolframModel::invalidState}
],
testUnevaluated[
WolframModel[1 -> 2, g -> 2][4],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[1 -> 2][4, g -> 2],
{WolframModel::argx}
],
VerificationTest[
WolframModel[1 -> 2][{1}],
{_ ? AtomQ},
SameTest -> MatchQ
],
VerificationTest[
WolframModel[1 -> 2, {1}],
_WolframModelEvolutionObject,
SameTest -> MatchQ
],
testUnevaluated[
WolframModel[1 -> 2, f -> 2][{1}],
{WolframModel::optx}
],
testUnevaluated[
WolframModel[1 -> 2][{1}, f -> 2],
{WolframModel::argx}
],
testUnevaluated[
WolframModel[1 -> 2][{1}, x],
{WolframModel::argx}
],
testUnevaluated[
WolframModel[1 -> 2, x][{1}],
{WolframModel::invalidState}
],
testUnevaluated[
WolframModel[1 -> 2, Method -> "$$$InvalidMethod$$$"][{1}],
{WolframModel::invalidMethod}
],
VerificationTest[
WolframModel[1 -> 2, Method -> "Symbolic"][{1}],
{_ ? AtomQ},
SameTest -> MatchQ
],
testUnevaluated[
WolframModel[1 -> 2][{1}, Method -> "Symbolic"],
{WolframModel::argx}
],
testUnevaluated[
WolframModel[{{1, 2}} -> {{1, 3}, {3, 2}}, {{0, 0}}, 100, TimeConstraint -> #],
{WolframModel::timc}
] & /@ {0, -1, "x"},
(** PatternRules **)
VerificationTest[
WolframModel[<|"PatternRules" -> 1 -> 2|>][{1}],
{2}
],
testUnevaluated[
WolframModel[<|"PatternRule" -> 1 -> 2|>],
{}
],
testUnevaluated[
WolframModel[<|"PatternRule" -> 1 -> 2|>][{1}],
{WolframModel::invalidWolframModelRules}
],
testUnevaluated[
WolframModel[<|"PatternRules" -> 1 -> 2, "f" -> 2|>],
{}
],
testUnevaluated[
WolframModel[<|"PatternRules" -> 1 -> 2, "f" -> 2|>][{1}],
{WolframModel::invalidWolframModelRules}
],
testUnevaluated[
WolframModel[<|"PatternRules" -> 1 -> 2|>],
{}
],
VerificationTest[
WolframModel[<|"PatternRules" -> {1 -> 2, a_ :> Module[{b}, b]}|>][{1}],
{2}
],
VerificationTest[
WolframModel[<|"PatternRules" -> {1 -> 2, a_ :> Module[{b}, b]}|>][{2}],
{_ ? AtomQ},
SameTest -> MatchQ
],
VerificationTest[
WolframModel[<|"PatternRules" -> {1 -> 2, a_ :> Module[{b}, b]}|>, {1}],
_WolframModelEvolutionObject,
SameTest -> MatchQ
],
testUnevaluated[
WolframModel[<|"PatternRules" -> {1 -> 2, a_ :> Module[{b}, b]}|>, {1}, x],
{WolframModel::invalidSteps}
],
(** Steps **)
(*** Generations and Events ***)
VerificationTest[
WolframModel[1 -> 2, {1}, 2]["TotalGenerationsCount"],
2
],
testUnevaluated[
WolframModel[1 -> 2, {1}, 2, x],
{WolframModel::invalidProperty}
],
testUnevaluated[
WolframModel[1 -> 2, {1}, 2.2],
{WolframModel::invalidSteps}
],
testUnevaluated[
WolframModel[1 -> 2, {1}, "sdfsdf"],
{WolframModel::invalidSteps}
],
VerificationTest[
WolframModel[1 -> 2, {1}, 0]["EventsCount"],
0
],
testUnevaluated[
WolframModel[1 -> 2, {1}, -1],
{WolframModel::invalidSteps}
],
VerificationTest[
WolframModel[{{0, 1}} -> {{0, 2}, {2, 1}}, {{0, 1}}, 3] /@ {"TotalGenerationsCount", "EventsCount"},
{3, 7}
],
VerificationTest[
WolframModel[{{0, 1}} -> {{0, 2}, {2, 1}}, {{0, 1}}, <|"MaxGenerations" -> 3|>] /@
{"TotalGenerationsCount", "EventsCount", "TerminationReason"},
{3, 7, "MaxGenerations"}
],
VerificationTest[
WolframModel[{{0, 1}} -> {{0, 2}, {2, 1}}, {{0, 1}}, <|"MaxEvents" -> 6|>] /@
{"TotalGenerationsCount", "EventsCount", "TerminationReason"},
{3, 6, "MaxEvents"}
],
VerificationTest[
WolframModel[{{0, 1}} -> {{0, 2}, {2, 1}}, {{0, 1}}, <|"MaxGenerations" -> 3, "MaxEvents" -> 6|>] /@
{"TotalGenerationsCount", "EventsCount", "TerminationReason"},
{3, 6, "MaxGenerations" | "MaxEvents"},
SameTest -> MatchQ
],
VerificationTest[
WolframModel[{{0, 1}} -> {{0, 2}, {2, 1}}, {{0, 1}}, <|"MaxGenerations" -> 2, "MaxEvents" -> 6|>] /@
{"TotalGenerationsCount", "EventsCount", "TerminationReason"},
{2, 3, "MaxGenerations"}
],
VerificationTest[
WolframModel[{{0, 1}, {1, 2}} -> {{0, 2}}, {{0, 1}, {1, 2}, {2, 3}, {3, 4}}, <||>] /@
{"TotalGenerationsCount", "EventsCount", "TerminationReason"},
{2, 3, "FixedPoint"}
],
testUnevaluated[
WolframModel[{{0, 1}, {1, 2}} -> {{0, 2}}, {{0, 1}, {1, 2}, {2, 3}, {3, 4}}, <|"x" -> 2|>],
{WolframModel::invalidSteps}
],
testUnevaluated[
WolframModel[
{{0, 1}, {1, 2}} -> {{0, 2}},
{{0, 1}, {1, 2}, {2, 3}, {3, 4}},
<|"x" -> 2, "MaxGenerations" -> 2|>],
{WolframModel::invalidSteps}
],
VerificationTest[
WolframModel[{{0, 1}} -> {{0, 2}, {2, 1}}, {{0, 1}}, <|"MaxGenerations" -> \[Infinity], "MaxEvents" -> 12|>] /@
{"TotalGenerationsCount", "EventsCount", "TerminationReason"},
{4, 12, "MaxEvents"}
],
(*** MaxDestroyerEvents ***)
With[{rule = {{1, 2}, {2, 3}} -> {{2, 3}, {2, 4}, {3, 4}, {2, 1}}, init = {{1, 1}, {1, 1}}},
{
VerificationTest[
WolframModel[
rule,
init,
<|"MaxEvents" -> 5, "MaxDestroyerEvents" -> 5|>,
"EventSelectionFunction" -> "GlobalSpacelike"],
WolframModel[
rule,
init,
<|"MaxEvents" -> 5, "MaxDestroyerEvents" -> 1|>,
"EventSelectionFunction" -> "GlobalSpacelike"]
],
VerificationTest[
WolframModel[rule, init, <|"MaxEvents" -> 5|>],
WolframModel[
rule,
init,
<|"MaxEvents" -> 5, "MaxDestroyerEvents" -> 1|>,
"EventSelectionFunction" -> "MultiwaySpacelike"]
],
VerificationTest[
WolframModel[
rule,
init,
<|"MaxEvents" -> 5, "MaxDestroyerEvents" -> 0|>,
"EventSelectionFunction" -> "MultiwaySpacelike"]["GenerationsCount"],
{0, 0}
]
}
],
VerificationTest[
WolframModel[
{{1, 2}, {2, 3}} -> {{2, 3}, {2, 4}, {3, 4}, {2, 1}},
{{1, 1}, {1, 1}},
<|"MaxEvents" -> 5, "MaxDestroyerEvents" -> 2|>,
"EventSelectionFunction" -> "MultiwaySpacelike"]["EdgeDestroyerEventsIndices"],
{{1, 2}, {1, 2}, {3, 4}, {3, 5}, {4}, {5}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}
],
VerificationTest[
WolframModel[
{{1, 2}, {2, 3}} -> {{2, 3}, {2, 4}, {3, 4}, {2, 1}},
{{1, 1}, {1, 1}},
<|"MaxEvents" -> 5, "MaxDestroyerEvents" -> 3|>,
"EventSelectionFunction" -> "MultiwaySpacelike"]["EdgeDestroyerEventsIndices"],
{{1, 2}, {1, 2}, {3, 4, 5}, {3}, {4}, {5}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}
],
testUnevaluated[
WolframModel[1 -> 2, {1}, <|"MaxEvents" -> 5, "MaxDestroyerEvents" -> -1|>],
{WolframModel::invalidSteps}
],
(*** MaxVertices ***)
Table[With[{method = method, $simpleGrowingRule = {{1, 2}} -> {{1, 3}, {3, 2}}, $simpleGrowingInit = {{1, 1}}}, {
testUnevaluated[
WolframModel[$simpleGrowingRule, $simpleGrowingInit, <|"MaxVertices" -> x|>, Method -> method],
{WolframModel::invalidSteps}
],
testUnevaluated[
WolframModel[$simpleGrowingRule, $simpleGrowingInit, <|"MaxVertices" -> 0|>, Method -> method],
{WolframModel::tooSmallStepLimit}
],
VerificationTest[
WolframModel[
$simpleGrowingRule,
$simpleGrowingInit,
<|"MaxVertices" -> #1|>,
{"FinalState", "TerminationReason"},
Method -> method],
{#2, "MaxVertices"}
] & @@@ {{1, {{1, 1}}}, {2, {{1, 2}, {2, 1}}}, {3, {{2, 1}, {1, 3}, {3, 2}}}},
VerificationTest[
WolframModel[
$simpleGrowingRule,
$simpleGrowingInit,
<|"MaxVertices" -> Infinity, "MaxEvents" -> 100|>,
{"EventsCount", "TerminationReason"},
Method -> method],
{100, "MaxEvents"}
],
testUnevaluated[
WolframModel[{{1, 2}} -> {{1, 3}, {3, 2}}, #1, <|"MaxVertices" -> #2|>, "FinalState", Method -> method],
{WolframModel::tooSmallStepLimit}
] & @@@ {{{{1, 2}}, 1}, {{{1, 2}, {2, 3}}, 2}},
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 3}, {3, 2}},
{{1, 2}, {2, 3}},
<|"MaxVertices" -> 3|>,
{"FinalState", "TerminationReason"},
Method -> method],
{{{1, 2}, {2, 3}}, "MaxVertices"}
],
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 2}, {2, 2}},
{{1, 2}, {2, 3}},
<|"MaxVertices" -> 3, "MaxEvents" -> 100|>,
{"EventsCount", "TerminationReason"},
Method -> method],
{100, "MaxEvents"}
],
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 2}, {2, 3}, {3, 4}},
{{1, 1}},
<|"MaxVertices" -> #|>,
"AtomsCountFinal",
Method -> method] & /@ Range[20],
{1, 1, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19}
],
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 3}}, {{1, 2}},
<|"MaxVertices" -> 2, "MaxEvents" -> 100|>,
{"EventsCount", "TerminationReason"},
Method -> method],
{100, "MaxEvents"}
],
VerificationTest[
WolframModel[
{{{1, 2}} -> {{1, 2, 3, 4, 5, 6}}, {{1, 2, 3, 4, 5, 6}} -> {{1, 2}, {2, 6}}},
{{1, 2}},
<|"MaxVertices" -> #|>,
"EventsCount",
Method -> method] & /@ Range[2, 11],
{0, 0, 0, 0, 2, 3, 3, 3, 3, 7}
]
}], {method, DeleteCases[$SetReplaceMethods, Automatic]}],
testUnevaluated[
WolframModel[{1, 2} -> {1, 3, 3, 2}, {1, 2, 2, 3}, <|"MaxVertices" -> #|>, "FinalState"],
{WolframModel::nonListExpressions}
] & /@ {3, Infinity, 0},
With[{$incrementingRule = <|"PatternRules" -> {{a_}} :> {a + 1, a + 2}|>}, {
testUnevaluated[
WolframModel[$incrementingRule, {1}, <|"MaxVertices" -> 4|>, "FinalState"],
{WolframModel::nonListExpressions}
],
VerificationTest[
WolframModel[
$incrementingRule, {{{{{{{{{1}}}}}}}}}, <|"MaxVertices" -> 12|>, {"AtomsCountFinal", "TerminationReason"}],
{6, "MaxVertices"}
],
testUnevaluated[
WolframModel[$incrementingRule, {{{{{{{{{1}}}}}}}}}, <|"MaxVertices" -> 13|>, "FinalState"],
{WolframModel::nonListExpressions}
],
VerificationTest[
WolframModel[$incrementingRule, {{{{{{{{{1}}}}}}}}}, <||>, {"AtomsCountFinal", "TerminationReason"}],
{9, "FixedPoint"}
],
testUnevaluated[
WolframModel[$incrementingRule, {{{{{{{{{1}}}}}}}}}, <|"MaxVertices" -> DirectedInfinity[1]|>, "FinalState"],
{WolframModel::nonListExpressions}
]
}],
VerificationTest[
WolframModel[
<|"PatternRules" -> {{f[a_, x], f[b_, x]}} :> Module[{c}, {{f[a, x], f[c, x]}, {f[c, x], f[b, x]}}]|>,
{{f[1, x], f[1, x]}},
<|"MaxVertices" -> 4|>,
{"ExpressionsCountFinal", "TerminationReason"}],
{4, "MaxVertices"}
],
VerificationTest[
WolframModel[
<|"PatternRules" -> {{{a_, x}, {b_, x}}} :> Module[{c}, {{{a, x}, {c, x}}, {{c, x}, {b, x}}}]|>,
{{{1, x}, {1, x}}},
<|"MaxVertices" -> 4|>,
{"ExpressionsCountFinal", "TerminationReason"}],
{4, "MaxVertices"}
],
VerificationTest[
WolframModel[
<|"PatternRules" -> {{$1_, $2_}} :> Module[{$3}, {{$1, $3}, {$3, $2}}]|>,
{{1, 1}},
<|"MaxVertices" -> 30|>,
{"AtomsCountFinal", "TerminationReason"}],
{30, "MaxVertices"}
],
VerificationTest[
WolframModel[
<|"PatternRules" ->
{{{$1_, $11_}, {$2_, $22_}}} :> Module[{$3, $33}, {{{$1, $11}, {$3, $33}}, {{$3, $33}, {$2, $22}}}]|>,
{{{1, 2}, {1, 2}}},
<|"MaxVertices" -> 30|>,
{"AtomsCountFinal", "TerminationReason"}],
{60, "MaxVertices"}
],
(*** MaxEdges ***)
Table[With[{method = method, $simpleGrowingRule = {{1, 2}} -> {{1, 3}, {3, 2}}, $simpleGrowingInit = {{1, 1}}}, {
testUnevaluated[
WolframModel[$simpleGrowingRule, $simpleGrowingInit, <|"MaxEdges" -> x|>, Method -> method],
{WolframModel::invalidSteps}
],
testUnevaluated[
WolframModel[$simpleGrowingRule, $simpleGrowingInit, <|"MaxEdges" -> 0|>, Method -> method],
{WolframModel::tooSmallStepLimit}
],
VerificationTest[
WolframModel[
$simpleGrowingRule,
$simpleGrowingInit,
<|"MaxEdges" -> #1|>,
{"FinalState", "TerminationReason"},
Method -> method],
{#2, "MaxEdges"}
] & @@@ {{1, {{1, 1}}}, {2, {{1, 2}, {2, 1}}}, {3, {{2, 1}, {1, 3}, {3, 2}}}},
VerificationTest[
WolframModel[
$simpleGrowingRule,
$simpleGrowingInit,
<|"MaxEdges" -> Infinity, "MaxEvents" -> 100|>,
{"EventsCount", "TerminationReason"},
Method -> method],
{100, "MaxEvents"}
],
testUnevaluated[
WolframModel[$simpleGrowingRule, #1, <|"MaxEdges" -> #2|>, "FinalState", Method -> method],
{WolframModel::tooSmallStepLimit}
] & @@@ {{{{1, 2}, {2, 3}}, 1}, {{{1, 2}, {2, 3}, {3, 4}}, 2}},
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 3}, {3, 2}}, {{1, 2}, {2, 3}, {3, 4}},
<|"MaxEdges" -> 3|>,
{"FinalState", "TerminationReason"},
Method -> method],
{{{1, 2}, {2, 3}, {3, 4}}, "MaxEdges"}
],
VerificationTest[
WolframModel[
{{1, 2}} -> {{3, 4}},
{{1, 2}, {2, 3}},
<|"MaxEdges" -> 3, "MaxEvents" -> 100|>,
{"EventsCount", "TerminationReason"},
Method -> method],
{100, "MaxEvents"}
],
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 2}, {1, 2}, {2, 3}},
{{1, 1}},
<|"MaxEdges" -> #|>,
"ExpressionsCountFinal",
Method -> method] & /@ Range[20],
{1, 1, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19}
],
VerificationTest[
WolframModel[
{{{1, 2}, {2, 3}} -> {{1, 2, 3, 4, 5, 6}, {1, 4}, {1, 4}, {4, 6}},
{{1, 2, 3, 4, 5, 6}, {1, 4}} -> {{1, 6}}},
{{1, 2}, {2, 3}},
<|"MaxEdges" -> #|>,
"EventsCount",
Method -> method] & /@ Range[2, 11],
{0, 0, 2, 4, 6, 8, 10, 12, 14, 16}
]
}], {method, DeleteCases[$SetReplaceMethods, Automatic]}],
VerificationTest[
WolframModel[{1, 2} -> {1, 3, 3, 2}, {1, 2, 2, 3}, <|"MaxEdges" -> 6|>, {"FinalState", "TerminationReason"}],
{{2, 3, 1, 4, 4, 2}, "MaxEdges"}
],
With[{$incrementingRule = <|"PatternRules" -> {{a_}} :> {a + 1, a + 2}|>}, {
VerificationTest[
WolframModel[$incrementingRule, {{1}}, <|"MaxEdges" -> 2|>, {"FinalState", "TerminationReason"}],
{{2, 3}, "FixedPoint"}
],
VerificationTest[
WolframModel[
$incrementingRule,
{{{{{{{{{1}}}}}}}}},
<|"MaxEdges" -> 12|>,
{"ExpressionsCountFinal", "TerminationReason"}],
{12, "MaxEdges"}
]
}],
(** MaxVertexDegree **)
Table[With[{
method = method,
$simpleGrowingRule = {{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}},
$simpleGrowingInit = {{1, 1}},
maxVertexDegree = maxVertexDegree}, {
testUnevaluated[
WolframModel[$simpleGrowingRule, $simpleGrowingInit, <|"MaxVertexDegree" -> x|>, Method -> method],
{WolframModel::invalidSteps}
],
testUnevaluated[
WolframModel[$simpleGrowingRule, $simpleGrowingInit, <|"MaxVertexDegree" -> 0|>, Method -> method],
{WolframModel::tooSmallStepLimit}
],
VerificationTest[
WolframModel[
$simpleGrowingRule,
$simpleGrowingInit,
<|"MaxVertexDegree" -> #1|>,
{"FinalState", "TerminationReason"},
Method -> method],
{#2, "MaxVertexDegree"}
] & @@@ {
{1, {{1, 1}}},
{2, {{1, 1}}},
{3, {{1, 2}, {1, 2}, {2, 1}}},
{4, {{1, 2}, {2, 1}, {1, 3}, {1, 3}, {3, 2}}}},
VerificationTest[
WolframModel[
$simpleGrowingRule,
$simpleGrowingInit,
<|"MaxVertexDegree" -> Infinity, "MaxEvents" -> 100|>,
{"EventsCount", "TerminationReason"},
Method -> method],
{100, "MaxEvents"}
],
testUnevaluated[
WolframModel[
{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, #, <|"MaxVertexDegree" -> #2|>, "FinalState", Method -> method],
{WolframModel::tooSmallStepLimit}
] & @@@ {{{{1, 2}, {1, 3}}, 1}, {{{1, 2}, {1, 3}, {1, 4}}, 2}},
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 2}, {1, 3}, {1, 4}},
<|"MaxVertexDegree" -> 3|>,
{"FinalState", "TerminationReason"},
Method -> method],
{{{1, 2}, {1, 3}, {1, 4}}, "MaxVertexDegree"}
],
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 3}, {3, 2}},
{{1, 1}},
<|"MaxVertexDegree" -> #, "MaxEvents" -> 100|>,
{"EventsCount", "TerminationReason"},
Method -> method] & /@ {1, 2},
{{0, "MaxVertexDegree"}, {100, "MaxEvents"}}
],
VerificationTest[
maxVertexDegree @ WolframModel[
{{1, 2}} -> {{1, 3}, {1, 4}, {1, 5}},
{{1, 1}},
<|"MaxVertexDegree" -> #|>,
"FinalState",
Method -> method] & /@ Range[20],
{1, 1, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19}
],
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 3}},
{{1, 2}, {1, 3}},
<|"MaxVertexDegree" -> 2, "MaxEvents" -> 100|>,
{"EventsCount", "TerminationReason"},
Method -> method],
{100, "MaxEvents"}
],
VerificationTest[
WolframModel[
{{{1, 2}} -> {{1, 2, 3}, {1, 3, 4}, {1, 4, 5}}, {{1, 2, 3}, {1, 3, 4}} -> {{1, 2}, {3, 4}}},
{{1, 2}},
<|"MaxVertexDegree" -> #|>,
"EventsCount",
Method -> method] & /@ Range[1, 5],
{0, 0, 2, 6, 14}
]
}], {method, DeleteCases[$SetReplaceMethods, Automatic]}],
testUnevaluated[
WolframModel[{1, 2} -> {1, 3, 3, 2}, {1, 2, 2, 3}, <|"MaxVertexDegree" -> #|>, "FinalState"],
{WolframModel::nonListExpressions}
] & /@ {3, Infinity, 0},
With[{$incrementingRule = <|"PatternRules" -> {{a_}} :> {a + 1, a + 2}|>, maxVertexDegree = maxVertexDegree}, {
testUnevaluated[
WolframModel[$incrementingRule, {1}, <|"MaxVertexDegree" -> 4|>, "FinalState"],
{WolframModel::nonListExpressions}
],
VerificationTest[
maxVertexDegree[
WolframModel[$incrementingRule, {{{{{{{{{1}}}}}}}}}, <|"MaxVertexDegree" -> 34|>, "FinalState"]],
34
],
testUnevaluated[
WolframModel[$incrementingRule, {{{{{{{{{1}}}}}}}}}, <|"MaxVertexDegree" -> 35|>, "FinalState"],
{WolframModel::nonListExpressions}
],
testUnevaluated[
WolframModel[$incrementingRule, {{{{{{{{{1}}}}}}}}}, <|"MaxVertexDegree" -> DirectedInfinity[1]|>],
{WolframModel::nonListExpressions}
]
}],
VerificationTest[
WolframModel[
<|"PatternRules" -> {{f[a_, x], f[b_, x]}} :> Module[{c}, {{f[a, x], f[b, x]}, {f[b, x], f[c, x]}}]|>,
{{f[1, x], f[1, x]}},
<|"MaxVertexDegree" -> 4|>,
{"ExpressionsCountFinal", "TerminationReason"}],
{8, "MaxVertexDegree"}
],
VerificationTest[
WolframModel[
<|"PatternRules" -> {{{a_, x}, {b_, x}}} :> Module[{c}, {{{a, x}, {b, x}}, {{b, x}, {c, x}}}]|>,
{{{1, x}, {1, x}}},
<|"MaxVertexDegree" -> 4|>,
{"ExpressionsCountFinal", "TerminationReason"}],
{8, "MaxVertexDegree"}
],
(*** Multiple stop conditions ***)
Function[method, With[{
model = Sequence[{{1, 2}, {1, 3}} -> {{1, 3}, {1, 4}, {2, 4}, {3, 4}}, {{1, 1}, {1, 1}}],
maxVertexDegree = maxVertexDegree}, {
VerificationTest[
WolframModel[
model,
<|"MaxGenerations" -> 5, "MaxEvents" -> 41, "MaxVertices" -> 42, "MaxEdges" -> 84, "MaxVertexDegree" -> 9|>,
{"TotalGenerationsCount", "TerminationReason"},
Method -> method],
{5, "MaxGenerations"}
],
VerificationTest[
WolframModel[
model,
<|"MaxGenerations" -> 6, "MaxEvents" -> 40, "MaxVertices" -> 42, "MaxEdges" -> 84, "MaxVertexDegree" -> 9|>,
{"EventsCount", "TerminationReason"},
Method -> method],
{40, "MaxEvents"}
],
VerificationTest[
WolframModel[
model,
<|"MaxGenerations" -> 6, "MaxEvents" -> 41, "MaxVertices" -> 41, "MaxEdges" -> 84, "MaxVertexDegree" -> 9|>,
{"AtomsCountFinal", "TerminationReason"},
Method -> method],
{41, "MaxVertices"}
],
VerificationTest[
WolframModel[
model,
<|"MaxGenerations" -> 6, "MaxEvents" -> 41, "MaxVertices" -> 42, "MaxEdges" -> 83, "MaxVertexDegree" -> 9|>,
{"ExpressionsCountFinal", "TerminationReason"},
Method -> method],
{82, "MaxEdges"}
],
VerificationTest[
{maxVertexDegree[#[[1]]], #[[2]]} & @ WolframModel[
model,
<|"MaxGenerations" -> 6, "MaxEvents" -> 41, "MaxVertices" -> 42, "MaxEdges" -> 84, "MaxVertexDegree" -> 8|>,
{"FinalState", "TerminationReason"},
Method -> method],
{8, "MaxVertexDegree"}
]
}]] /@ DeleteCases[$SetReplaceMethods, Automatic],
(*** Automatic steps ***)
VerificationTest[
2 WolframModel[{{1, 2}} -> {{2, 3}}, {{1, 1}}, Automatic, "AllEventsCount"],
WolframModel[{{1, 2}} -> {{2, 3}}, {{1, 1}}, {Automatic, 2}, "AllEventsCount"]
],
VerificationTest[
WolframModel[{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, Automatic, "AllEventsCount"] > 0
],
(* fractional factors should work *)
VerificationTest[
WolframModel[{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, {Automatic, 1 / Pi}, "AllEventsCount"] <
WolframModel[{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, Automatic, "AllEventsCount"]
],
VerificationTest[
WolframModel[{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, {Automatic, 1. - 1.*^-20}, "AllEventsCount"],
WolframModel[{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, Automatic, "AllEventsCount"]
],
(* there should be no message if input has more edges than the step constraint *)
VerificationTest[
WolframModel[{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, {Automatic, 0}, "AllEventsCount"],
0
],
(* TerminationReason should not leak internal information *)
VerificationTest[
WolframModel[{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, Automatic, "TerminationReason"],
Automatic
],
(* Evaluation should never take too long *)
VerificationTest[
Head[TimeConstrained[WolframModel[
{{0, 0}, {0, 0}, {0, 0}} -> {{0, 0}, {0, 0}, {0, 0}, {0, 0}}, {{1, 1}, {1, 1}, {1, 1}}, Automatic], 60]],
WolframModelEvolutionObject
],
(* We don't want partial generations *)
VerificationTest[
WolframModel[{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}}, {{1, 1}}, Automatic, "PartialGenerationsCount"],
0
],
(* even if specifically asked for *)
VerificationTest[
WolframModel[
{{1, 2}} -> {{1, 3}, {1, 3}, {3, 2}},
{{1, 1}},
Automatic,
"PartialGenerationsCount",
"IncludePartialGenerations" -> True],
0
],
(* time constraint should scale as well *)
VerificationTest[
#1 < #2 / 2 & @@ (
First[AbsoluteTiming[
WolframModel[{{1, 1}, {1, 1}, {1, 1}} -> {{1, 1}, {1, 1}, {1, 1}, {1, 1}}, Automatic, #]]] & /@
{{Automatic, 0.2}, Automatic})
],
(* even non-evolution properties should return if an automatic time constraint is triggered *)
VerificationTest[
ListQ @ WolframModel[{{1, 1}, {1, 1}, {1, 1}} -> {{1, 1}, {1, 1}, {1, 1}, {1, 1}}, Automatic, #, "FinalState"]
] & /@ {Automatic, {Automatic, 0.2}},
(* even if the time constraint is manually specified *)
VerificationTest[
ListQ @ WolframModel[
{{1, 1}, {1, 1}, {1, 1}} -> {{1, 1}, {1, 1}, {1, 1}, {1, 1}},
Automatic,
Automatic,
"FinalState",
TimeConstraint ->
First[AbsoluteTiming[
WolframModel[{{1, 1}, {1, 1}, {1, 1}} -> {{1, 1}, {1, 1}, {1, 1}, {1, 1}}, Automatic, Automatic]]] / 2]
],
(** Properties **)
VerificationTest[
EdgeList[WolframModel[1 -> 2, {1}, 2, "CausalGraph"]],
{DirectedEdge[1, 2]}
],
testUnevaluated[
WolframModel[1 -> 2, {1}, 2, "123"],
{WolframModel::invalidProperty}
],
testUnevaluated[
WolframModel[1 -> 2, {1}, 2, "Generation"],
{WolframModel::invalidProperty}
],
VerificationTest[
WolframModel[{{1}} -> {{2}}, {{1}}, 2, #] & /@ $WolframModelProperties // Length,
Length[$WolframModelProperties]
],
VerificationTest[
WolframModel[{{1}} -> {{2}}, {{1}}, 2, $WolframModelProperties] // Length,
WolframModel[{{1}} -> {{2}}, {{1}}, 2, #] & /@ $WolframModelProperties // Length
],
testUnevaluated[
WolframModel[1 -> 2, {1}, 2, 2],
{WolframModel::invalidProperty}
],
testUnevaluated[
WolframModel[1 -> 2, {1}, 2, {2, 3}],
{WolframModel::invalidProperty}
],
testUnevaluated[
WolframModel[1 -> 2, {1}, 2, {"CausalGraph", 3}],
{WolframModel::invalidProperty}
],
testUnevaluated[
WolframModel[1 -> 2, {1}, 2, {3, "CausalGraph"}],
{WolframModel::invalidProperty}
],
VerificationTest[
EdgeList /@ WolframModel[1 -> 2, {1}, 2, {"CausalGraph", "CausalGraph"}],