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elem :: forall a f. Foldable f => Eq a => a -> f a -> Boolean
Test whether a value is an element of a data structure.
notElem :: forall a f. Foldable f => Eq a => a -> f a -> Boolean
Test whether a value is not an element of a data structure.
contains :: forall b a. HasEqual b => HasReduce a => b -> a b -> Boolean
Returns true if the container contains the element.
[1, 2, 3] :contains 2 -- true
[1, 0, 3] :contains 2 -- false
intercalate :: forall f m. Foldable f => Monoid m => m -> f m -> m
Fold a data structure, accumulating values in some Monoid
,
combining adjacent elements using the specified separator.
For example:
> intercalate ", " ["Lorem", "ipsum", "dolor"]
= "Lorem, ipsum, dolor"
> intercalate "*" ["a", "b", "c"]
= "a*b*c"
> intercalate [1] [[2, 3], [4, 5], [6, 7]]
= [2, 3, 1, 4, 5, 1, 6, 7]
intercalate :: forall f m. Foldable1 f => Semigroup m => m -> f m -> m
Fold a data structure using a Semigroup
instance,
combining adjacent elements using the specified separator.
surround :: forall f m. Foldable f => Semigroup m => m -> f m -> m
fold
but with each element surrounded by some fixed value.
For example:
> surround "*" []
= "*"
> surround "*" ["1"]
= "*1*"
> surround "*" ["1", "2"]
= "*1*2*"
> surround "*" ["1", "2", "3"]
= "*1*2*3*"
consMax :: forall a f. Foldable f => Ord a => a -> f a -> a
consMin :: forall a f. Foldable f => Ord a => a -> f a -> a
peek :: forall s w a. ComonadStore s w => s -> w a -> a
track :: forall t w a. ComonadTraced t w => t -> w a -> a
buildLeaf :: forall e f p v. ElementBuilder e f p v => e -> f p -> v
eq :: forall a. Eq a => a -> a -> Boolean
genericEq :: forall a rep. Generic a rep => GenericEq rep => a -> a -> Boolean
A Generic
implementation of the eq
member from the Eq
type class.
genericEq' :: forall a. GenericEq a => a -> a -> Boolean
greaterThan :: forall a. Ord a => a -> a -> Boolean
Test whether one value is strictly greater than another.
greaterThanOrEq :: forall a. Ord a => a -> a -> Boolean
Test whether one value is non-strictly greater than another.
lessThan :: forall a. Ord a => a -> a -> Boolean
Test whether one value is strictly less than another.
lessThanOrEq :: forall a. Ord a => a -> a -> Boolean
Test whether one value is non-strictly less than another.
notEq :: forall a. Eq a => a -> a -> Boolean
notEq
tests whether one value is not equal to another. Shorthand for
not (eq x y)
.
reallyUnsafeRefEq :: forall a b. a -> b -> Boolean
Compares two values of different types using strict (===
) equality.
unsafeRefEq :: forall a. a -> a -> Boolean
Compares two values of the same type using strict (===
) equality.
instanceOf :: forall a b. a -> b -> Boolean
Checks whether an object is an instance of an invokable
inside :: forall r p n. ToRegion n r => ToPos n p => Ord n => Semiring n => r -> p -> Boolean
Checks if a position is inside a region. Size of the region should be positive. Inclusive on the lower bound, exclusive on the higher bound.
outside :: forall r p n. ToRegion n r => ToPos n p => Ord n => Semiring n => r -> p -> Boolean
inside
, but with its result negated.
parallel :: forall p n. ToPos n p => EuclideanRing n => Eq n => p -> p -> Boolean
Check if two vectors are parallel
perpendicular :: forall p n. ToPos n p => Semiring n => Eq n => p -> p -> Boolean
Check if two vectors are perpendicular
contains :: forall n. IsNode n => n -> n -> Boolean
absorption :: forall a. HeytingAlgebra a => Eq a => a -> a -> Boolean
antisymmetry :: forall a. Ord a => a -> a -> Boolean
x <= y && y <= x => x == y
commutative :: forall a. CommutativeRing a => Eq a => a -> a -> Boolean
commutative :: forall a. HeytingAlgebra a => Eq a => a -> a -> Boolean
compareHom :: forall a. BoundedEnum a => Ord a => a -> a -> Boolean
compare x y == compare (fromEnum x) (fromEnum y)
divides :: forall α. Eq α => EuclideanRing α => α -> α -> Boolean
genericEq1 :: forall a. GenericEq1 a => a -> a -> Boolean
greaterThan :: forall a. PartialOrd a => a -> a -> Boolean
greaterThanOrEq :: forall a. PartialOrd a => a -> a -> Boolean
integralDomain :: forall a. EuclideanRing a => Eq a => a -> a -> Boolean
lessThan :: forall a. PartialOrd a => a -> a -> Boolean
lessThanOrEq :: forall a. PartialOrd a => a -> a -> Boolean
negation :: forall a. Eq a => a -> a -> Boolean
x /= y => not (x == y)
notDivides :: forall α. Eq α => EuclideanRing α => α -> α -> Boolean
quotientRemainder :: forall a. EuclideanRing a => Eq a => a -> a -> Boolean
submultiplicative :: forall a. EuclideanRing a => Eq a => a -> a -> Boolean
symmetry :: forall a. Eq a => a -> a -> Boolean
x == y => y == x?
_equal :: forall a. HasEqual a => a -> a -> Boolean
_greater :: forall a. HasGreater a => a -> a -> Boolean
_greaterOrEqual :: forall a. HasEqual a => HasGreater a => a -> a -> Boolean
_less :: forall a. HasLess a => a -> a -> Boolean
_lessOrEqual :: forall a. HasEqual a => HasLess a => a -> a -> Boolean
_notEqual :: forall a. HasEqual a => a -> a -> Boolean
compareReference :: forall a. a -> a -> Boolean
divisibleBy :: forall a. HasEqual a => HasRemainder a => HasZero a => a -> a -> Boolean
Returns true if the number is divisible by the other.
9 :divisibleBy 3 -- true
8 :divisibleBy 3 -- false
eqById :: forall a. HasId a => a -> a -> Boolean
equal :: forall a. HasEqual a => a -> a -> Boolean
greater :: forall a. HasGreater a => a -> a -> Boolean
greaterOrEqual :: forall a. HasEqual a => HasGreater a => a -> a -> Boolean
Returns true if the value is greater than or equal to the other.
2 :greaterOrEqual 1 -- true
2 :greaterOrEqual 2 -- true
2 :greaterOrEqual 3 -- false
includes :: forall key range. IDBKey key => IDBKeyRange range => range -> key -> Boolean
Returns true if key is included in the range, and false otherwise.
includes :: forall range key. IDBKey key => IDBKeyRange range => range -> key -> Boolean
Returns true if key is included in the range, and false otherwise.
instanceof :: forall b a. a -> b -> Boolean
less :: forall a. HasLess a => a -> a -> Boolean
lessOrEqual :: forall a. HasEqual a => HasLess a => a -> a -> Boolean
Returns true if the value is less than or equal to the other.
2 :lessOrEqual 1 -- false
2 :lessOrEqual 2 -- true
2 :lessOrEqual 3 -- true
matchObjectsOnId :: forall a b. HasUuid a => HasUuid b => a -> b -> Boolean
modelHasChanged :: forall model. model -> model -> Boolean
notEqual :: forall a. HasEqual a => a -> a -> Boolean
Returns true if the value is not equal to the other.
2 :notEqual 1 -- true
1 :notEqual 1 -- true
notMatchObjectsOnId :: forall a b. HasUuid a => HasUuid b => a -> b -> Boolean
rEq :: forall r. Fold EqS r (AppCat (Function r) Function Boolean Boolean) => r -> r -> Boolean
add :: forall a. Semiring a => a -> a -> a
append :: forall a. Semigroup a => a -> a -> a
conj :: forall a. HeytingAlgebra a => a -> a -> a
const :: forall a b. a -> b -> a
Returns its first argument and ignores its second.
const 1 "hello" = 1
It can also be thought of as creating a function that ignores its argument:
const 1 = \_ -> 1
disj :: forall a. HeytingAlgebra a => a -> a -> a
div :: forall a. EuclideanRing a => a -> a -> a
gcd :: forall a. Eq a => EuclideanRing a => a -> a -> a
The greatest common divisor of two values.
genericAdd :: forall a rep. Generic a rep => GenericSemiring rep => a -> a -> a
A Generic
implementation of the add
member from the Semiring
type class.
genericAdd' :: forall a. GenericSemiring a => a -> a -> a
genericAppend :: forall a rep. Generic a rep => GenericSemigroup rep => a -> a -> a
A Generic
implementation of the append
member from the Semigroup
type class.
genericAppend' :: forall a. GenericSemigroup a => a -> a -> a
genericConj :: forall a rep. Generic a rep => GenericHeytingAlgebra rep => a -> a -> a
A Generic
implementation of the conj
member from the HeytingAlgebra
type class.
genericConj' :: forall a. GenericHeytingAlgebra a => a -> a -> a
genericDisj :: forall a rep. Generic a rep => GenericHeytingAlgebra rep => a -> a -> a
A Generic
implementation of the disj
member from the HeytingAlgebra
type class.
genericDisj' :: forall a. GenericHeytingAlgebra a => a -> a -> a
genericImplies :: forall a rep. Generic a rep => GenericHeytingAlgebra rep => a -> a -> a
A Generic
implementation of the implies
member from the HeytingAlgebra
type class.
genericImplies' :: forall a. GenericHeytingAlgebra a => a -> a -> a
genericMul :: forall a rep. Generic a rep => GenericSemiring rep => a -> a -> a
A Generic
implementation of the mul
member from the Semiring
type class.
genericMul' :: forall a. GenericSemiring a => a -> a -> a
genericSub :: forall a rep. Generic a rep => GenericRing rep => a -> a -> a
A Generic
implementation of the sub
member from the Ring
type class.
genericSub' :: forall a. GenericRing a => a -> a -> a
implies :: forall a. HeytingAlgebra a => a -> a -> a
lcm :: forall a. Eq a => EuclideanRing a => a -> a -> a
The least common multiple of two values.
leftDiv :: forall a. DivisionRing a => a -> a -> a
Left division, defined as leftDiv a b = recip b * a
. Left and right
division are distinct in this module because a DivisionRing
is not
necessarily commutative.
If the type a
is also a EuclideanRing
, then this function is
equivalent to div
from the EuclideanRing
class. When working
abstractly, div
should generally be preferred, unless you know that you
need your code to work with noncommutative rings.
max :: forall a. Ord a => a -> a -> a
Take the maximum of two values. If they are considered equal, the first argument is chosen.
min :: forall a. Ord a => a -> a -> a
Take the minimum of two values. If they are considered equal, the first argument is chosen.
mod :: forall a. EuclideanRing a => a -> a -> a
mul :: forall a. Semiring a => a -> a -> a
rightDiv :: forall a. DivisionRing a => a -> a -> a
Right division, defined as rightDiv a b = a * recip b
. Left and right
division are distinct in this module because a DivisionRing
is not
necessarily commutative.
If the type a
is also a EuclideanRing
, then this function is
equivalent to div
from the EuclideanRing
class. When working
abstractly, div
should generally be preferred, unless you know that you
need your code to work with noncommutative rings.
sub :: forall a. Ring a => a -> a -> a
sans :: forall m a b. At m a b => a -> m -> m
add :: forall x y z. Add x y z => x -> y -> z
and :: forall b1 b2 b3. And b1 b2 b3 => b1 -> b2 -> b3
div :: forall x y z. Div x y z => x -> y -> z
eq :: forall b1 b2 b3. Eq b1 b2 b3 => b1 -> b2 -> b3
gcd :: forall x y z. GCD x y z => x -> y -> z
imp :: forall b1 b2 b3. Imp b1 b2 b3 => b1 -> b2 -> b3
max :: forall x y z. Max x y z => x -> y -> z
min :: forall x y z. Min x y z => x -> y -> z
mod :: forall x y r. Mod x y r => x -> y -> r
mul :: forall x y z. Mul x y z => x -> y -> z
or :: forall b1 b2 b3. Or b1 b2 b3 => b1 -> b2 -> b3
sub :: forall x y z. Sub x y z => x -> y -> z
trich :: forall x y r. Trich x y r => x -> y -> r
xor :: forall b1 b2 b3. Xor b1 b2 b3 => b1 -> b2 -> b3
hmap :: forall f a b. HMap f a b => f -> a -> b
hmapWithIndex :: forall f a b. HMapWithIndex f a b => f -> a -> b
mapping :: forall f a b. Mapping f a b => f -> a -> b
call :: forall s. IsString s => Monoid s => s -> s -> s
Syntax for CSS function call.
reduce :: forall f i o. Reducible f i o => f -> i -> o
lact :: forall g s. LeftAction g s => g -> s -> s
ract :: forall g s. RightAction g s => s -> g -> s
convertOptions :: forall t i o. ConvertOptions t i o => t -> i -> o
defaults :: forall defaults provided all. Defaults defaults provided all => defaults -> provided -> all
maddL :: forall x r. LeftModule x r => x -> x -> x
maddR :: forall x r. RightModule x r => x -> x -> x
mmulL :: forall x r. LeftModule x r => r -> x -> x
mmulR :: forall x r. RightModule x r => x -> r -> x
msubL :: forall x r. LeftModule x r => x -> x -> x
msubR :: forall x r. RightModule x r => x -> x -> x
bindTo :: forall f o. f -> o -> f
defaultUndef :: forall a. a -> a -> a
new :: forall f a o. f -> a -> o
Call new on the function with an array or pseudoarray of arguments
dot :: forall p n. ToPos n p => Semiring n => p -> p -> n
Get the dot product of two vectors
mapProduct :: forall mp a b. MapProduct mp a b => mp -> a -> b
putInsideMod :: forall r p n. ToRegion n r => AsPosEndo n p => EuclideanRing n => r -> p -> p
Put a position inside a region by using the modulus operator
act :: forall m s. Action m s => m -> s -> s
Convert a value of type @m@ to an action on @s@ values.
at :: forall c k r. Monoid r => Lookup c k r => c -> k -> r
This simple helper works on any Lookup
instance where the return type is
a Monoid
, and is the same as lookup
except that it returns a t
instead of a Maybe t
. If lookup
would return Nothing
, then at
returns mempty
.
at :: forall c k r. Monoid r => Lookup c k r => c -> k -> r
This simple helper works on any Lookup
instance where the return type is
a Monoid
, and is the same as lookup
except that it returns a t
instead of a Maybe t
. If lookup
would return Nothing
, then at
returns mempty
.
join :: forall a. JoinSemilattice a => a -> a -> a
meet :: forall a. MeetSemilattice a => a -> a -> a
pathAppend :: forall m. XPathLike m => m -> m -> m
Put a path seperator between two XPaths and return the resulting XPath.
pathAppendNSx :: forall m. XPathLike m => m -> m -> m
Useful variant of pathAppend
needed for some XPath implementations;
insert a separator with a dummy namespace ("x") for the second XPath
fragment. For example:
root /? "record" /? "identifier" == "/x:record/x:identifier"
.
setCtx :: forall props' props ctx. WithContextProps props' props ctx => ctx -> props' -> props
adjacentSibling :: forall a b c. IsExtensibleSelector a => ToVal a => Combine b c => a -> b -> c
and :: forall a. Binary a => a -> a -> a
child :: forall a b c. IsExtensibleSelector a => ToVal a => Combine b c => a -> b -> c
dbg :: forall s a. Show s => s -> a -> a
descendant :: forall a b c. IsExtensibleSelector a => ToVal a => Combine b c => a -> b -> c
diff :: forall a d. Diff a d => a -> a -> d
generalSibling :: forall a b c. IsExtensibleSelector a => ToVal a => Combine b c => a -> b -> c
join :: forall a. JoinSemilattice a => a -> a -> a
maddL :: forall x r. LeftModule x r => x -> x -> x
maddR :: forall x r. RightModule x r => x -> x -> x