Fix RationalOrder formatting
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7acae258ed
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1940b1d51f
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@ -1,5 +1,9 @@
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module Internal.Tools.RationalOrder exposing (..)
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{-| # Rational order
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{-|
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# Rational order
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The rational order module simulates the properties of the order of rational
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numbers: all values have a clear direct ordering, but one can always gain a
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@ -12,19 +16,23 @@ using an Elm type that uses Int types for comparison.
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Given the design of the order, the best case comparison design is O(1), and the
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worst case comparison is O(log(n)). The worst case relies on recursively
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creating two values a and b, create two new numbers in-between, and repeat.
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-}
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import Recursion exposing (base, recurse, recurseThen)
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{-| The RationalOrder consists of two items: a number for ordering and a
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tie-breaking next RationalOrder type for when two RationalOrders have the same
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number.
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When the next RationalOrder is Nothing, it should be considered -infinite.
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-}
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type RationalOrder
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= With Int (Maybe RationalOrder)
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{-| Find a new value that comes after a given value. For optimization reasons,
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this will find the nearest number at the highest level.
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-}
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@ -32,6 +40,7 @@ after : RationalOrder -> RationalOrder
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after (With i _) =
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With (i + 1) Nothing
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{-| Find a new value that comes before a given value. For optimization reasons,
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this will find the nearest number at the highest level.
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-}
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@ -39,6 +48,7 @@ before : RationalOrder -> RationalOrder
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before (With i _) =
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With (i - 1) Nothing
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{-| Find a new value in-between two existing values. The inputs don't need to be
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ordered.
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-}
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@ -88,6 +98,7 @@ between x y =
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)
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( Just x, Just y )
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compare : RationalOrder -> RationalOrder -> Basics.Order
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compare x y =
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Recursion.runRecursion
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@ -113,6 +124,7 @@ compare x y =
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)
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( x, y )
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fromList : List Int -> Maybe RationalOrder
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fromList =
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Recursion.runRecursion
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@ -125,6 +137,7 @@ fromList =
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recurseThen tail (With head >> Maybe.Just >> base)
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)
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toList : RationalOrder -> List Int
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toList =
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Recursion.runRecursion
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@ -1,14 +1,16 @@
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module Test.Tools.RationalOrder exposing (..)
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import Test exposing (..)
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import Fuzz exposing (Fuzzer)
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import Expect
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import Fuzz exposing (Fuzzer)
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import Internal.Tools.RationalOrder as RO exposing (RationalOrder(..))
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import Test exposing (..)
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fuzzer : Fuzzer RationalOrder
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fuzzer =
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Fuzz.map2 With Fuzz.int (Fuzz.lazy (\_ -> Fuzz.maybe fuzzer))
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twoUnequal : Fuzzer ( RationalOrder, RationalOrder )
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twoUnequal =
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fuzzer
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@ -18,6 +20,7 @@ twoUnequal =
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(\o1 o2 ->
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if RO.compare o1 o2 == LT then
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( o1, o2 )
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else
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( o2, o1 )
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)
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@ -25,48 +28,59 @@ twoUnequal =
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(Fuzz.filter ((/=) o) fuzzer)
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)
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suite : Test
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suite =
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describe "RationalOrder"
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[ describe "Semantic truths"
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[ describe "After is always greater"
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[ fuzz fuzzer "Forwards"
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[ fuzz fuzzer
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"Forwards"
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(\o ->
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Expect.equal LT (RO.compare o (RO.after o))
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)
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, fuzz fuzzer "Backwards"
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, fuzz fuzzer
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"Backwards"
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(\o ->
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Expect.equal GT (RO.compare (RO.after o) o)
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)
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]
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, describe "Before is always lesser"
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[ fuzz fuzzer "Forwards"
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[ fuzz fuzzer
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"Forwards"
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(\o ->
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Expect.equal GT (RO.compare o (RO.before o))
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)
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, fuzz fuzzer "Backwards"
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, fuzz fuzzer
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"Backwards"
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(\o ->
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Expect.equal LT (RO.compare (RO.before o) o)
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)
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]
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, describe "Two unequal == two unequal"
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[ fuzz twoUnequal "Forwards"
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[ fuzz twoUnequal
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"Forwards"
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(\( small, big ) ->
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Expect.equal LT (RO.compare small big)
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)
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, fuzz twoUnequal "Backwards"
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, fuzz twoUnequal
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"Backwards"
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(\( small, big ) ->
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Expect.equal GT (RO.compare big small)
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)
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]
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, describe "compare"
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[ fuzz2 fuzzer fuzzer "EQ iff same value"
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[ fuzz2 fuzzer
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fuzzer
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"EQ iff same value"
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(\o1 o2 ->
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Expect.equal
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(o1 == o2)
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(RO.compare o1 o2 == EQ)
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)
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, fuzz2 fuzzer fuzzer "LT iff opposite GT"
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, fuzz2 fuzzer
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fuzzer
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"LT iff opposite GT"
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(\o1 o2 ->
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Expect.equal
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(RO.compare o1 o2 == LT)
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@ -74,25 +88,29 @@ suite =
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)
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]
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, describe "Between is always between"
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[ fuzz twoUnequal "Less than first - forwards"
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[ fuzz twoUnequal
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"Less than first - forwards"
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(\( small, big ) ->
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(RO.between small big)
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RO.between small big
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|> RO.compare small
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|> Expect.equal LT
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)
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, fuzz twoUnequal "Less than first - backwards"
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, fuzz twoUnequal
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"Less than first - backwards"
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(\( small, big ) ->
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small
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|> RO.compare (RO.between small big)
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|> Expect.equal GT
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)
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, fuzz twoUnequal "Less than second - forwards"
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, fuzz twoUnequal
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"Less than second - forwards"
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(\( small, big ) ->
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RO.between small big
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|> RO.compare big
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|> Expect.equal GT
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)
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, fuzz twoUnequal "Less than second - backwards"
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, fuzz twoUnequal
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"Less than second - backwards"
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(\( small, big ) ->
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big
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|> RO.compare (RO.between small big)
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@ -157,25 +175,33 @@ suite =
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|> RO.between (With 5 Nothing)
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|> Expect.equal (With 4 (Just (With 6 Nothing)))
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)
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, fuzz2 fuzzer fuzzer "Between is commutative"
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, fuzz2 fuzzer
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fuzzer
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"Between is commutative"
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(\o1 o2 ->
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Expect.equal (RO.between o1 o2) (RO.between o2 o1)
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)
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]
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, describe "After"
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[ fuzz Fuzz.int "One more - level 1"
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[ fuzz Fuzz.int
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"One more - level 1"
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(\a ->
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Expect.equal
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(RO.after <| With a Nothing)
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(With (a + 1) Nothing)
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)
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, fuzz2 Fuzz.int Fuzz.int "One more - level 2"
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, fuzz2 Fuzz.int
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Fuzz.int
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"One more - level 2"
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(\a b ->
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Expect.equal
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(RO.after <| With a <| Just <| With b Nothing)
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(With (a + 1) Nothing)
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)
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, fuzz3 Fuzz.int Fuzz.int Fuzz.int "One more - level 3"
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, fuzz3 Fuzz.int
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Fuzz.int
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Fuzz.int
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"One more - level 3"
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(\a b c ->
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Expect.equal
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(RO.after <| With a <| Just <| With b <| Just <| With c Nothing)
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@ -183,19 +209,25 @@ suite =
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)
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]
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, describe "Before"
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[ fuzz Fuzz.int "One less - level 1"
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[ fuzz Fuzz.int
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"One less - level 1"
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(\a ->
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Expect.equal
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(RO.before <| With a Nothing)
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(With (a - 1) Nothing)
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)
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, fuzz2 Fuzz.int Fuzz.int "One less - level 2"
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, fuzz2 Fuzz.int
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Fuzz.int
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"One less - level 2"
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(\a b ->
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Expect.equal
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(RO.before <| With a <| Just <| With b Nothing)
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(With (a - 1) Nothing)
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)
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, fuzz3 Fuzz.int Fuzz.int Fuzz.int "One less - level 3"
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, fuzz3 Fuzz.int
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Fuzz.int
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Fuzz.int
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"One less - level 3"
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(\a b c ->
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Expect.equal
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(RO.before <| With a <| Just <| With b <| Just <| With c Nothing)
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@ -212,7 +244,9 @@ suite =
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(Just <| Basics.compare l1 l2)
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(Maybe.map2 RO.compare (RO.fromList l1) (RO.fromList l2))
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)
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, fuzz2 fuzzer fuzzer "Compares the same when converted to list"
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, fuzz2 fuzzer
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fuzzer
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"Compares the same when converted to list"
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(\o1 o2 ->
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Expect.equal
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(RO.compare o1 o2)
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@ -220,4 +254,3 @@ suite =
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)
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]
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]
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