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|
{-# LANGUAGE NoImplicitPrelude #-}
module Felix.Test.Unit.Foundation (unitTests) where
import Base
import Felix.Checking.Core
import Felix.Checking.Foundation
import Data.List qualified as List
import Data.Set qualified as Set
import Test.Tasty
import Test.Tasty.HUnit
unitTests :: TestTree
unitTests =
testGroup "Foundation manifest"
[ testCase
"accepts the exact compiled foundation"
acceptsCompiledFoundation
, testCase
"rejects incomplete and altered manifests"
rejectsManifestMutations
, testCase
"classifies the exact UnivOf schemas"
classifiesUnivOfSchemas
, testCase
"selects only intrinsic characteristic dependencies"
selectsOnlyIntrinsicCharacteristicDependencies
]
acceptsCompiledFoundation :: Assertion
acceptsCompiledFoundation = do
foundation <-
either
(assertFailure . show)
pure
checkedFoundation
assertEqual
"intrinsic coverage"
[minBound .. maxBound]
(fst <$> compiledFoundationIntrinsicRows)
assertEqual
"guarded-rule coverage"
[minBound .. maxBound]
[ tag
| FoundationRuleInput tag _signature <-
compiledFoundationRuleRows
]
for_ [minBound .. maxBound] \tag ->
assertEqual
("closed proposition type for " <> show tag)
TyProp
(frozenCoreType
(foundationAxiomFrozen foundation tag))
selectsOnlyIntrinsicCharacteristicDependencies :: Assertion
selectsOnlyIntrinsicCharacteristicDependencies = do
let separation =
CApp
(CApp (CIntrinsic Sep) (CBound 0))
(CLam TySet CFalsum)
underUniverse =
CApp (CIntrinsic UnivOf) separation
assertEqual
"separation is found recursively without a universe bundle"
(Set.singleton SeparationCharacteristic)
(foundationAxiomDependencies underUniverse)
rejectsManifestMutations :: Assertion
rejectsManifestMutations = do
let withoutMinimal =
List.filter
(\case
FoundationAxiomInput
UnivOfMinimal
_syntax
_backendClass ->
False
_ ->
True)
compiledFoundationAxiomRows
wrongUnivType =
[ if tag == UnivOf
then (tag, TySet)
else row
| row@(tag, _coreType) <-
compiledFoundationIntrinsicRows
]
duplicatedEmpty =
case findAxiomInput EmptyCharacteristic of
Just row ->
row : compiledFoundationAxiomRows
Nothing ->
impossible
"compiled manifest omitted EmptyCharacteristic"
alteredEmpty =
replaceAxiomInput
EmptyCharacteristic
(FoundationAxiomInput
EmptyCharacteristic
(coreOpaqueInteger 0)
FoundationFofProjectable)
alteredExtensionality =
replaceAxiomInput
SetExtensionality
(FoundationAxiomInput
SetExtensionality
coreFalsum
FoundationFofProjectable)
misclassifiedEmpty =
case findAxiomInput EmptyCharacteristic of
Just
(FoundationAxiomInput
tag
syntax
_backendClass) ->
replaceAxiomInput
tag
(FoundationAxiomInput
tag
syntax
(FoundationRequiresTh0
(HigherOrderLambda :| [])))
Nothing ->
impossible
"compiled manifest omitted EmptyCharacteristic"
withoutLeast =
[ row
| row@(FoundationRuleInput tag _signature) <-
compiledFoundationRuleRows
, tag /= SetLfpLeast
]
alteredInductSignature =
[ if tag == SetLfpInduct
then
FoundationRuleInput
tag
(KernelRuleSignature [TySet] 0)
else row
| row@(FoundationRuleInput tag _signature) <-
compiledFoundationRuleRows
]
assertAuditContains
(== MissingFoundationAxiom UnivOfMinimal)
(auditFoundationManifest
compiledFoundationIntrinsicRows
compiledFoundationRuleRows
withoutMinimal)
assertAuditContains
(== FoundationIntrinsicTypeMismatch
UnivOf
(TySet `TyArrow` TySet)
TySet)
(auditFoundationManifest
wrongUnivType
compiledFoundationRuleRows
compiledFoundationAxiomRows)
assertAuditContains
(== MissingFoundationRule SetLfpLeast)
(auditFoundationManifest
compiledFoundationIntrinsicRows
withoutLeast
compiledFoundationAxiomRows)
assertAuditContains
(\case
FoundationRuleSignatureMismatch
SetLfpInduct
_expected
(KernelRuleSignature [TySet] 0) ->
True
_ ->
False)
(auditFoundationManifest
compiledFoundationIntrinsicRows
alteredInductSignature
compiledFoundationAxiomRows)
assertAuditContains
(== DuplicateFoundationAxiom EmptyCharacteristic)
(auditFoundationManifest
compiledFoundationIntrinsicRows
compiledFoundationRuleRows
duplicatedEmpty)
assertAuditContains
(\case
FoundationAxiomIllTyped
EmptyCharacteristic
(ExpectedCoreType TyProp TySet) ->
True
_ ->
False)
(auditFoundationManifest
compiledFoundationIntrinsicRows
compiledFoundationRuleRows
alteredEmpty)
assertAuditContains
(== FoundationAxiomStatementMismatch
SetExtensionality)
(auditFoundationManifest
compiledFoundationIntrinsicRows
compiledFoundationRuleRows
alteredExtensionality)
assertAuditContains
(== FoundationAxiomBackendClassMismatch
EmptyCharacteristic
(FoundationRequiresTh0
(HigherOrderLambda :| []))
FoundationFofProjectable)
(auditFoundationManifest
compiledFoundationIntrinsicRows
compiledFoundationRuleRows
misclassifiedEmpty)
classifiesUnivOfSchemas :: Assertion
classifiesUnivOfSchemas = do
foundation <-
either
(assertFailure . show)
pure
checkedFoundation
for_
[ UnivOfContains
, UnivOfTransitive
, UnivOfFamilyUnionClosed
, UnivOfPowerSetClosed
]
\tag ->
assertEqual
(show tag)
FoundationFofProjectable
(foundationAxiomBackendClass foundation tag)
for_
[ UnivOfReplacementClosed
, UnivOfMinimal
]
\tag ->
case foundationAxiomBackendClass foundation tag of
FoundationRequiresTh0 exclusions ->
assertBool
(show tag <> " has a structural exclusion")
(not (null exclusions))
FoundationFofProjectable ->
assertFailure
(show tag <> " was classified as FOF")
findAxiomInput
:: FoundationAxiomTag
-> Maybe FoundationAxiomInput
findAxiomInput wanted =
List.find
(\case
FoundationAxiomInput tag _syntax _backendClass ->
tag == wanted)
compiledFoundationAxiomRows
replaceAxiomInput
:: FoundationAxiomTag
-> FoundationAxiomInput
-> [FoundationAxiomInput]
replaceAxiomInput wanted replacement =
fmap
(\row ->
case row of
FoundationAxiomInput tag _syntax _backendClass
| tag == wanted ->
replacement
_ ->
row)
compiledFoundationAxiomRows
assertAuditContains
:: (FoundationManifestError -> Bool)
-> Either
(NonEmpty FoundationManifestError)
FoundationManifestAudit
-> Assertion
assertAuditContains predicate = \case
Left errors ->
assertBool
("expected error not found in " <> show errors)
(any predicate errors)
Right _audit ->
assertFailure
"expected foundation-manifest audit to fail"
|
