purescript-0.6.7: prelude/prelude.purs
module Prelude
( otherwise
, flip
, const
, asTypeOf
, Semigroupoid, (<<<), (>>>)
, Category, id
, ($), (#)
, (:), cons
, Show, show
, Functor, (<$>), (<#>), void
, Apply, (<*>)
, Applicative, pure, liftA1
, Bind, (>>=)
, Monad, return, liftM1, ap
, Num, (+), (-), (*), (/), (%)
, negate
, Eq, (==), (/=), refEq, refIneq
, Ord, Ordering(..), compare, (<), (>), (<=), (>=)
, Bits, (.&.), (.|.), (.^.), shl, shr, zshr, complement
, BoolLike, (&&), (||)
, not
, Semigroup, (<>), (++)
, Unit(..), unit
) where
-- | An alias for `true`, which can be useful in guard clauses:
-- |
-- | E.g.
-- |
-- | max x y | x >= y = x
-- | | otherwise = y
otherwise :: Boolean
otherwise = true
-- | Flips the order of the arguments to a function of two arguments.
flip :: forall a b c. (a -> b -> c) -> b -> a -> c
flip f b a = f a b
-- | Returns its first argument and ignores its second.
const :: forall a b. a -> b -> a
const a _ = a
-- | This function returns its first argument, and can be used to assert type equalities.
-- | This can be useful when types are otherwise ambiguous.
-- |
-- | E.g.
-- |
-- | main = print $ [] `asTypeOf` [0]
-- |
-- | If instead, we had written `main = print []`, the type of the argument `[]` would have
-- | been ambiguous, resulting in a compile-time error.
asTypeOf :: forall a. a -> a -> a
asTypeOf x _ = x
infixr 9 >>>
infixr 9 <<<
class Semigroupoid a where
(<<<) :: forall b c d. a c d -> a b c -> a b d
instance semigroupoidArr :: Semigroupoid (->) where
(<<<) f g x = f (g x)
(>>>) :: forall a b c d. (Semigroupoid a) => a b c -> a c d -> a b d
(>>>) f g = g <<< f
class (Semigroupoid a) <= Category a where
id :: forall t. a t t
instance categoryArr :: Category (->) where
id x = x
infixr 0 $
infixl 0 #
($) :: forall a b. (a -> b) -> a -> b
($) f x = f x
(#) :: forall a b. a -> (a -> b) -> b
(#) x f = f x
infixr 6 :
(:) :: forall a. a -> [a] -> [a]
(:) = cons
foreign import cons
"""
function cons(e) {
return function(l) {
return [e].concat(l);
};
}
""" :: forall a. a -> [a] -> [a]
class Show a where
show :: a -> String
foreign import showStringImpl
"""
function showStringImpl(s) {
return JSON.stringify(s);
}
""" :: String -> String
instance showUnit :: Show Unit where
show (Unit {}) = "Unit {}"
instance showString :: Show String where
show = showStringImpl
instance showBoolean :: Show Boolean where
show true = "true"
show false = "false"
foreign import showNumberImpl
"""
function showNumberImpl(n) {
return n.toString();
}
""" :: Number -> String
instance showNumber :: Show Number where
show = showNumberImpl
foreign import showArrayImpl
"""
function showArrayImpl(f) {
return function(xs) {
var ss = [];
for (var i = 0, l = xs.length; i < l; i++) {
ss[i] = f(xs[i]);
}
return '[' + ss.join(',') + ']';
};
}
""" :: forall a. (a -> String) -> [a] -> String
instance showArray :: (Show a) => Show [a] where
show = showArrayImpl show
infixl 4 <$>
infixl 1 <#>
class Functor f where
(<$>) :: forall a b. (a -> b) -> f a -> f b
(<#>) :: forall f a b. (Functor f) => f a -> (a -> b) -> f b
(<#>) fa f = f <$> fa
void :: forall f a. (Functor f) => f a -> f Unit
void fa = const unit <$> fa
infixl 4 <*>
class (Functor f) <= Apply f where
(<*>) :: forall a b. f (a -> b) -> f a -> f b
class (Apply f) <= Applicative f where
pure :: forall a. a -> f a
liftA1 :: forall f a b. (Applicative f) => (a -> b) -> f a -> f b
liftA1 f a = pure f <*> a
infixl 1 >>=
class (Apply m) <= Bind m where
(>>=) :: forall a b. m a -> (a -> m b) -> m b
class (Applicative m, Bind m) <= Monad m
return :: forall m a. (Monad m) => a -> m a
return = pure
liftM1 :: forall m a b. (Monad m) => (a -> b) -> m a -> m b
liftM1 f a = do
a' <- a
return (f a')
ap :: forall m a b. (Monad m) => m (a -> b) -> m a -> m b
ap f a = do
f' <- f
a' <- a
return (f' a')
instance functorArr :: Functor ((->) r) where
(<$>) = (<<<)
instance applyArr :: Apply ((->) r) where
(<*>) f g x = f x (g x)
instance applicativeArr :: Applicative ((->) r) where
pure = const
instance bindArr :: Bind ((->) r) where
(>>=) m f x = f (m x) x
instance monadArr :: Monad ((->) r)
infixl 7 *
infixl 7 /
infixl 7 %
infixl 6 -
infixl 6 +
class Num a where
(+) :: a -> a -> a
(-) :: a -> a -> a
(*) :: a -> a -> a
(/) :: a -> a -> a
(%) :: a -> a -> a
negate :: a -> a
foreign import numAdd
"""
function numAdd(n1) {
return function(n2) {
return n1 + n2;
};
}
""" :: Number -> Number -> Number
foreign import numSub
"""
function numSub(n1) {
return function(n2) {
return n1 - n2;
};
}
""" :: Number -> Number -> Number
foreign import numMul
"""
function numMul(n1) {
return function(n2) {
return n1 * n2;
};
}
""" :: Number -> Number -> Number
foreign import numDiv
"""
function numDiv(n1) {
return function(n2) {
return n1 / n2;
};
}
""" :: Number -> Number -> Number
foreign import numMod
"""
function numMod(n1) {
return function(n2) {
return n1 % n2;
};
}
""" :: Number -> Number -> Number
foreign import numNegate
"""
function numNegate(n) {
return -n;
}
""" :: Number -> Number
instance numNumber :: Num Number where
(+) = numAdd
(-) = numSub
(*) = numMul
(/) = numDiv
(%) = numMod
negate = numNegate
newtype Unit = Unit {}
unit :: Unit
unit = Unit {}
infix 4 ==
infix 4 /=
class Eq a where
(==) :: a -> a -> Boolean
(/=) :: a -> a -> Boolean
foreign import refEq
"""
function refEq(r1) {
return function(r2) {
return r1 === r2;
};
}
""" :: forall a. a -> a -> Boolean
foreign import refIneq
"""
function refIneq(r1) {
return function(r2) {
return r1 !== r2;
};
}
""" :: forall a. a -> a -> Boolean
instance eqUnit :: Eq Unit where
(==) (Unit {}) (Unit {}) = true
(/=) (Unit {}) (Unit {}) = false
instance eqString :: Eq String where
(==) = refEq
(/=) = refIneq
instance eqNumber :: Eq Number where
(==) = refEq
(/=) = refIneq
instance eqBoolean :: Eq Boolean where
(==) = refEq
(/=) = refIneq
foreign import eqArrayImpl
"""
function eqArrayImpl(f) {
return function(xs) {
return function(ys) {
if (xs.length !== ys.length) return false;
for (var i = 0; i < xs.length; i++) {
if (!f(xs[i])(ys[i])) return false;
}
return true;
};
};
}
""" :: forall a. (a -> a -> Boolean) -> [a] -> [a] -> Boolean
instance eqArray :: (Eq a) => Eq [a] where
(==) xs ys = eqArrayImpl (==) xs ys
(/=) xs ys = not (xs == ys)
data Ordering = LT | GT | EQ
instance eqOrdering :: Eq Ordering where
(==) LT LT = true
(==) GT GT = true
(==) EQ EQ = true
(==) _ _ = false
(/=) x y = not (x == y)
instance showOrdering :: Show Ordering where
show LT = "LT"
show GT = "GT"
show EQ = "EQ"
class (Eq a) <= Ord a where
compare :: a -> a -> Ordering
infixl 4 <
(<) :: forall a. (Ord a) => a -> a -> Boolean
(<) a1 a2 = case a1 `compare` a2 of
LT -> true
_ -> false
infixl 4 >
(>) :: forall a. (Ord a) => a -> a -> Boolean
(>) a1 a2 = case a1 `compare` a2 of
GT -> true
_ -> false
infixl 4 <=
(<=) :: forall a. (Ord a) => a -> a -> Boolean
(<=) a1 a2 = case a1 `compare` a2 of
GT -> false
_ -> true
infixl 4 >=
(>=) :: forall a. (Ord a) => a -> a -> Boolean
(>=) a1 a2 = case a1 `compare` a2 of
LT -> false
_ -> true
foreign import unsafeCompareImpl
"""
function unsafeCompareImpl(lt) {
return function(eq) {
return function(gt) {
return function(x) {
return function(y) {
return x < y ? lt : x > y ? gt : eq;
};
};
};
};
}
""" :: forall a. Ordering -> Ordering -> Ordering -> a -> a -> Ordering
unsafeCompare :: forall a. a -> a -> Ordering
unsafeCompare = unsafeCompareImpl LT EQ GT
instance ordUnit :: Ord Unit where
compare (Unit {}) (Unit {}) = EQ
instance ordBoolean :: Ord Boolean where
compare false false = EQ
compare false true = LT
compare true true = EQ
compare true false = GT
instance ordNumber :: Ord Number where
compare = unsafeCompare
instance ordString :: Ord String where
compare = unsafeCompare
instance ordArray :: (Ord a) => Ord [a] where
compare [] [] = EQ
compare [] _ = LT
compare _ [] = GT
compare (x:xs) (y:ys) = case compare x y of
EQ -> compare xs ys
other -> other
infixl 10 .&.
infixl 10 .|.
infixl 10 .^.
class Bits b where
(.&.) :: b -> b -> b
(.|.) :: b -> b -> b
(.^.) :: b -> b -> b
shl :: b -> Number -> b
shr :: b -> Number -> b
zshr :: b -> Number -> b
complement :: b -> b
foreign import numShl
"""
function numShl(n1) {
return function(n2) {
return n1 << n2;
};
}
""" :: Number -> Number -> Number
foreign import numShr
"""
function numShr(n1) {
return function(n2) {
return n1 >> n2;
};
}
""" :: Number -> Number -> Number
foreign import numZshr
"""
function numZshr(n1) {
return function(n2) {
return n1 >>> n2;
};
}
""" :: Number -> Number -> Number
foreign import numAnd
"""
function numAnd(n1) {
return function(n2) {
return n1 & n2;
};
}
""" :: Number -> Number -> Number
foreign import numOr
"""
function numOr(n1) {
return function(n2) {
return n1 | n2;
};
}
""" :: Number -> Number -> Number
foreign import numXor
"""
function numXor(n1) {
return function(n2) {
return n1 ^ n2;
};
}
""" :: Number -> Number -> Number
foreign import numComplement
"""
function numComplement(n) {
return ~n;
}
""" :: Number -> Number
instance bitsNumber :: Bits Number where
(.&.) = numAnd
(.|.) = numOr
(.^.) = numXor
shl = numShl
shr = numShr
zshr = numZshr
complement = numComplement
infixr 2 ||
infixr 3 &&
class BoolLike b where
(&&) :: b -> b -> b
(||) :: b -> b -> b
not :: b -> b
foreign import boolAnd
"""
function boolAnd(b1) {
return function(b2) {
return b1 && b2;
};
}
""" :: Boolean -> Boolean -> Boolean
foreign import boolOr
"""
function boolOr(b1) {
return function(b2) {
return b1 || b2;
};
}
""" :: Boolean -> Boolean -> Boolean
foreign import boolNot
"""
function boolNot(b) {
return !b;
}
""" :: Boolean -> Boolean
instance boolLikeBoolean :: BoolLike Boolean where
(&&) = boolAnd
(||) = boolOr
not = boolNot
infixr 5 <>
class Semigroup a where
(<>) :: a -> a -> a
foreign import concatString
"""
function concatString(s1) {
return function(s2) {
return s1 + s2;
};
}
""" :: String -> String -> String
instance semigroupUnit :: Semigroup Unit where
(<>) (Unit {}) (Unit {}) = Unit {}
instance semigroupString :: Semigroup String where
(<>) = concatString
instance semigroupArr :: (Semigroup s') => Semigroup (s -> s') where
(<>) f g = \x -> f x <> g x
infixr 5 ++
(++) :: forall s. (Semigroup s) => s -> s -> s
(++) = (<>)
module Data.Function where
on :: forall a b c. (b -> b -> c) -> (a -> b) -> a -> a -> c
on f g x y = g x `f` g y
foreign import data Fn0 :: * -> *
foreign import data Fn1 :: * -> * -> *
foreign import data Fn2 :: * -> * -> * -> *
foreign import data Fn3 :: * -> * -> * -> * -> *
foreign import data Fn4 :: * -> * -> * -> * -> * -> *
foreign import data Fn5 :: * -> * -> * -> * -> * -> * -> *
foreign import data Fn6 :: * -> * -> * -> * -> * -> * -> * -> *
foreign import data Fn7 :: * -> * -> * -> * -> * -> * -> * -> * -> *
foreign import data Fn8 :: * -> * -> * -> * -> * -> * -> * -> * -> * -> *
foreign import data Fn9 :: * -> * -> * -> * -> * -> * -> * -> * -> * -> * -> *
foreign import data Fn10 :: * -> * -> * -> * -> * -> * -> * -> * -> * -> * -> * -> *
foreign import mkFn0
"""
function mkFn0(fn) {
return function() {
return fn({});
};
}
""" :: forall a. (Unit -> a) -> Fn0 a
foreign import mkFn1
"""
function mkFn1(fn) {
return function(a) {
return fn(a);
};
}
""" :: forall a b. (a -> b) -> Fn1 a b
foreign import mkFn2
"""
function mkFn2(fn) {
return function(a, b) {
return fn(a)(b);
};
}
""" :: forall a b c. (a -> b -> c) -> Fn2 a b c
foreign import mkFn3
"""
function mkFn3(fn) {
return function(a, b, c) {
return fn(a)(b)(c);
};
}
""" :: forall a b c d. (a -> b -> c -> d) -> Fn3 a b c d
foreign import mkFn4
"""
function mkFn4(fn) {
return function(a, b, c, d) {
return fn(a)(b)(c)(d);
};
}
""" :: forall a b c d e. (a -> b -> c -> d -> e) -> Fn4 a b c d e
foreign import mkFn5
"""
function mkFn5(fn) {
return function(a, b, c, d, e) {
return fn(a)(b)(c)(d)(e);
};
}
""" :: forall a b c d e f. (a -> b -> c -> d -> e -> f) -> Fn5 a b c d e f
foreign import mkFn6
"""
function mkFn6(fn) {
return function(a, b, c, d, e, f) {
return fn(a)(b)(c)(d)(e)(f);
};
}
""" :: forall a b c d e f g. (a -> b -> c -> d -> e -> f -> g) -> Fn6 a b c d e f g
foreign import mkFn7
"""
function mkFn7(fn) {
return function(a, b, c, d, e, f, g) {
return fn(a)(b)(c)(d)(e)(f)(g);
};
}
""" :: forall a b c d e f g h. (a -> b -> c -> d -> e -> f -> g -> h) -> Fn7 a b c d e f g h
foreign import mkFn8
"""
function mkFn8(fn) {
return function(a, b, c, d, e, f, g, h) {
return fn(a)(b)(c)(d)(e)(f)(g)(h);
};
}
""" :: forall a b c d e f g h i. (a -> b -> c -> d -> e -> f -> g -> h -> i) -> Fn8 a b c d e f g h i
foreign import mkFn9
"""
function mkFn9(fn) {
return function(a, b, c, d, e, f, g, h, i) {
return fn(a)(b)(c)(d)(e)(f)(g)(h)(i);
};
}
""" :: forall a b c d e f g h i j. (a -> b -> c -> d -> e -> f -> g -> h -> i -> j) -> Fn9 a b c d e f g h i j
foreign import mkFn10
"""
function mkFn10(fn) {
return function(a, b, c, d, e, f, g, h, i, j) {
return fn(a)(b)(c)(d)(e)(f)(g)(h)(i)(j);
};
}
""" :: forall a b c d e f g h i j k. (a -> b -> c -> d -> e -> f -> g -> h -> i -> j -> k) -> Fn10 a b c d e f g h i j k
foreign import runFn0
"""
function runFn0(fn) {
return fn();
}
""" :: forall a. Fn0 a -> a
foreign import runFn1
"""
function runFn1(fn) {
return function(a) {
return fn(a);
};
}
""" :: forall a b. Fn1 a b -> a -> b
foreign import runFn2
"""
function runFn2(fn) {
return function(a) {
return function(b) {
return fn(a, b);
};
};
}
""" :: forall a b c. Fn2 a b c -> a -> b -> c
foreign import runFn3
"""
function runFn3(fn) {
return function(a) {
return function(b) {
return function(c) {
return fn(a, b, c);
};
};
};
}
""" :: forall a b c d. Fn3 a b c d -> a -> b -> c -> d
foreign import runFn4
"""
function runFn4(fn) {
return function(a) {
return function(b) {
return function(c) {
return function(d) {
return fn(a, b, c, d);
};
};
};
};
}
""" :: forall a b c d e. Fn4 a b c d e -> a -> b -> c -> d -> e
foreign import runFn5
"""
function runFn5(fn) {
return function(a) {
return function(b) {
return function(c) {
return function(d) {
return function(e) {
return fn(a, b, c, d, e);
};
};
};
};
};
}
""" :: forall a b c d e f. Fn5 a b c d e f -> a -> b -> c -> d -> e -> f
foreign import runFn6
"""
function runFn6(fn) {
return function(a) {
return function(b) {
return function(c) {
return function(d) {
return function(e) {
return function(f) {
return fn(a, b, c, d, e, f);
};
};
};
};
};
};
}
""" :: forall a b c d e f g. Fn6 a b c d e f g -> a -> b -> c -> d -> e -> f -> g
foreign import runFn7
"""
function runFn7(fn) {
return function(a) {
return function(b) {
return function(c) {
return function(d) {
return function(e) {
return function(f) {
return function(g) {
return fn(a, b, c, d, e, f, g);
};
};
};
};
};
};
};
}
""" :: forall a b c d e f g h. Fn7 a b c d e f g h -> a -> b -> c -> d -> e -> f -> g -> h
foreign import runFn8
"""
function runFn8(fn) {
return function(a) {
return function(b) {
return function(c) {
return function(d) {
return function(e) {
return function(f) {
return function(g) {
return function(h) {
return fn(a, b, c, d, e, f, g, h);
};
};
};
};
};
};
};
};
}
""" :: forall a b c d e f g h i. Fn8 a b c d e f g h i -> a -> b -> c -> d -> e -> f -> g -> h -> i
foreign import runFn9
"""
function runFn9(fn) {
return function(a) {
return function(b) {
return function(c) {
return function(d) {
return function(e) {
return function(f) {
return function(g) {
return function(h) {
return function(i) {
return fn(a, b, c, d, e, f, g, h, i);
};
};
};
};
};
};
};
};
};
}
""" :: forall a b c d e f g h i j. Fn9 a b c d e f g h i j -> a -> b -> c -> d -> e -> f -> g -> h -> i -> j
foreign import runFn10
"""
function runFn10(fn) {
return function(a) {
return function(b) {
return function(c) {
return function(d) {
return function(e) {
return function(f) {
return function(g) {
return function(h) {
return function(i) {
return function(j) {
return fn(a, b, c, d, e, f, g, h, i, j);
};
};
};
};
};
};
};
};
};
};
}
""" :: forall a b c d e f g h i j k. Fn10 a b c d e f g h i j k -> a -> b -> c -> d -> e -> f -> g -> h -> i -> j -> k
module Prelude.Unsafe where
foreign import unsafeIndex
"""
function unsafeIndex(xs) {
return function(n) {
return xs[n];
};
}
""" :: forall a. [a] -> Number -> a
module Control.Monad.Eff where
foreign import data Eff :: # ! -> * -> *
foreign import returnE
"""
function returnE(a) {
return function() {
return a;
};
}
""" :: forall e a. a -> Eff e a
foreign import bindE
"""
function bindE(a) {
return function(f) {
return function() {
return f(a())();
};
};
}
""" :: forall e a b. Eff e a -> (a -> Eff e b) -> Eff e b
type Pure a = forall e. Eff e a
foreign import runPure
"""
function runPure(f) {
return f();
}
""" :: forall a. Pure a -> a
instance functorEff :: Functor (Eff e) where
(<$>) = liftA1
instance applyEff :: Apply (Eff e) where
(<*>) = ap
instance applicativeEff :: Applicative (Eff e) where
pure = returnE
instance bindEff :: Bind (Eff e) where
(>>=) = bindE
instance monadEff :: Monad (Eff e)
foreign import untilE
"""
function untilE(f) {
return function() {
while (!f());
return {};
};
}
""" :: forall e. Eff e Boolean -> Eff e Unit
foreign import whileE
"""
function whileE(f) {
return function(a) {
return function() {
while (f()) {
a();
}
return {};
};
};
}
""" :: forall e a. Eff e Boolean -> Eff e a -> Eff e Unit
foreign import forE
"""
function forE(lo) {
return function(hi) {
return function(f) {
return function() {
for (var i = lo; i < hi; i++) {
f(i)();
}
};
};
};
}
""" :: forall e. Number -> Number -> (Number -> Eff e Unit) -> Eff e Unit
foreign import foreachE
"""
function foreachE(as) {
return function(f) {
return function() {
for (var i = 0; i < as.length; i++) {
f(as[i])();
}
};
};
}
""" :: forall e a. [a] -> (a -> Eff e Unit) -> Eff e Unit
module Control.Monad.Eff.Unsafe where
import Control.Monad.Eff
foreign import unsafeInterleaveEff
"""
function unsafeInterleaveEff(f) {
return f;
}
""" :: forall eff1 eff2 a. Eff eff1 a -> Eff eff2 a
module Debug.Trace where
import Control.Monad.Eff
foreign import data Trace :: !
foreign import trace
"""
function trace(s) {
return function() {
console.log(s);
return {};
};
}
""" :: forall r. String -> Eff (trace :: Trace | r) Unit
print :: forall a r. (Show a) => a -> Eff (trace :: Trace | r) Unit
print o = trace (show o)
module Control.Monad.ST where
import Control.Monad.Eff
foreign import data ST :: * -> !
foreign import data STRef :: * -> * -> *
foreign import newSTRef
"""
function newSTRef(val) {
return function() {
return { value: val };
};
}
""" :: forall a h r. a -> Eff (st :: ST h | r) (STRef h a)
foreign import readSTRef
"""
function readSTRef(ref) {
return function() {
return ref.value;
};
}
""" :: forall a h r. STRef h a -> Eff (st :: ST h | r) a
foreign import modifySTRef
"""
function modifySTRef(ref) {
return function(f) {
return function() {
return ref.value = f(ref.value);
};
};
}
""" :: forall a h r. STRef h a -> (a -> a) -> Eff (st :: ST h | r) a
foreign import writeSTRef
"""
function writeSTRef(ref) {
return function(a) {
return function() {
return ref.value = a;
};
};
}
""" :: forall a h r. STRef h a -> a -> Eff (st :: ST h | r) a
foreign import runST
"""
function runST(f) {
return f;
}
""" :: forall a r. (forall h. Eff (st :: ST h | r) a) -> Eff r a
pureST :: forall a. (forall h r. Eff (st :: ST h | r) a) -> a
pureST st = runPure (runST st)