initial checkin

Signed-off-by: Dr. Carsten Leue <carsten.leue@de.ibm.com>

array/sequence.go

@@ -0,0 +1,43 @@
+package array
+
+import (
+	F "github.com/ibm/fp-go/function"
+	O "github.com/ibm/fp-go/option"
+)
+
+// We need to pass the members of the applicative explicitly, because golang does neither support higher kinded types nor template methods on structs or interfaces
+
+// HKTA = HKT<A>
+// HKTRA = HKT<[]A>
+// HKTFRA = HKT<func(A)[]A>
+
+// Sequence takes an `Array` where elements are `HKT<A>` (higher kinded type) and,
+// using an applicative of that `HKT`, returns an `HKT` of `[]A`.
+// e.g. it can turn an `[]Either[error, string]` into an `Either[error, []string]`.
+//
+// Sequence requires an `Applicative` of the `HKT` you are targeting, e.g. to turn an
+// `[]Either[E, A]` into an `Either[E, []A]`, it needs an
+// Applicative` for `Either`, to to turn an `[]Option[A]` into an `Option[ []A]`,
+// it needs an `Applicative` for `Option`.
+func Sequence[A, HKTA, HKTRA, HKTFRA any](
+	_of func([]A) HKTRA,
+	_map func(HKTRA, func([]A) func(A) []A) HKTFRA,
+	_ap func(HKTFRA, HKTA) HKTRA,
+) func([]HKTA) HKTRA {
+	ca := F.Curry2(Append[A])
+	return Reduce(func(fas HKTRA, fa HKTA) HKTRA {
+		return _ap(
+			_map(fas, ca),
+			fa,
+		)
+	}, _of(Empty[A]()))
+}
+
+// ArrayOption returns a function to convert sequence of options into an option of a sequence
+func ArrayOption[A any]() func([]O.Option[A]) O.Option[[]A] {
+	return Sequence(
+		O.Of[[]A],
+		O.MonadMap[[]A, func(A) []A],
+		O.MonadAp[A, []A],
+	)
+}