Agda.Utils.TestHelpers

Some functions and generators suitable for writing QuickCheck properties.

Algebraic properties

associative :: Eq a => (a -> a -> a) -> a -> a -> a -> Bool

Is the operator associative?

commutative :: Eq a => (a -> a -> a) -> a -> a -> Bool

Is the operator commutative?

idempotent :: Eq a => (a -> a -> a) -> a -> Bool

Is the operator idempotent?

isZero :: Eq a => a -> (a -> a -> a) -> a -> Bool

Is the element a zero for the operator?

identity :: Eq a => a -> (a -> a -> a) -> a -> Bool

Is the element a unit for the operator?

leftDistributive :: Eq a => (a -> a -> a) -> (a -> a -> a) -> a -> a -> a -> Bool

Does the first operator distribute (from the left) over the second one?

rightDistributive :: Eq a => (a -> a -> a) -> (a -> a -> a) -> a -> a -> a -> Bool

Does the first operator distribute (from the right) over the second one?

distributive :: Eq a => (a -> a -> a) -> (a -> a -> a) -> a -> a -> a -> Bool

Does the first operator distribute over the second one?

Generators

natural :: Integral i => Gen i

Generates natural numbers.

positive :: Integral i => Gen i

Generates positive numbers.

maybeGen :: Gen a -> Gen (Maybe a)

Generates values of Maybe type, using the given generator to generate the contents of the Just constructor.

maybeCoGen :: (a -> Gen b -> Gen b) -> Maybe a -> Gen b -> Gen b

Coarbitrary "generator" for Maybe.

listOfElements :: [a] -> Gen [a]

Generates a list of elements picked from a given list.

elementsUnlessEmpty :: Arbitrary a => [a] -> Gen a

If the given list is non-empty, then an element from the list is generated, and otherwise an arbitrary element is generated.

two :: Gen a -> Gen (a, a)

Generates two elements.

three :: Gen a -> Gen (a, a, a)

Generates three elements.

Test driver.

runTests

Arguments

:: String

A label for the tests. Used for informational purposes.

-> [IO Bool]

-> IO Bool

Runs the tests, and returns True if all tests were successful.