Merge pull request #48 from IBM/cleue-some-benchmarking

fix: add some benchmarks

array/generic/array.go

@@ -187,6 +187,14 @@ func IsEmpty[AS ~[]A, A any](as AS) bool {
 	return array.IsEmpty(as)
 }
 
+func IsNil[GA ~[]A, A any](as GA) bool {
+	return array.IsNil(as)
+}
+
+func IsNonNil[GA ~[]A, A any](as GA) bool {
+	return array.IsNonNil(as)
+}
+
 func Match[AS ~[]A, A, B any](onEmpty func() B, onNonEmpty func(AS) B) func(AS) B {
 	return func(as AS) B {
 		if IsEmpty(as) {

cli/pipe.go

@@ -25,6 +25,40 @@ import (
 	C "github.com/urfave/cli/v2"
 )
 
+func generateUnsliced(f *os.File, i int) {
+	// Create the optionize version
+	fmt.Fprintf(f, "\n// Unsliced%d converts a function taking a slice parameter into a function with %d parameters\n", i, i)
+	fmt.Fprintf(f, "func Unsliced%d[F ~func([]T) R, T, R any](f F) func(", i)
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T")
+	}
+	fmt.Fprintf(f, ") R {\n")
+	fmt.Fprintf(f, "  return func(")
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "t%d", j+1)
+	}
+	if i > 0 {
+		fmt.Fprintf(f, " T")
+	}
+	fmt.Fprintf(f, ") R {\n")
+	fmt.Fprintf(f, "    return f([]T{")
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "t%d", j+1)
+	}
+	fmt.Fprintln(f, "})")
+	fmt.Fprintln(f, "  }")
+	fmt.Fprintln(f, "}")
+}
+
 func generateVariadic(f *os.File, i int) {
 	// Create the nullary version
 	fmt.Fprintf(f, "\n// Variadic%d converts a function taking %d parameters and a final slice into a function with %d parameters but a final variadic argument\n", i, i, i)
@@ -83,7 +117,7 @@ func generateVariadic(f *os.File, i int) {
 	fmt.Fprintf(f, "v)\n")
 	fmt.Fprintf(f, "  }\n")
 
-	fmt.Fprintf(f, "}")
+	fmt.Fprintf(f, "}\n")
 }
 
 func generateUnvariadic(f *os.File, i int) {
@@ -144,7 +178,7 @@ func generateUnvariadic(f *os.File, i int) {
 	fmt.Fprintf(f, "v...)\n")
 	fmt.Fprintf(f, "  }\n")
 
-	fmt.Fprintf(f, "}")
+	fmt.Fprintf(f, "}\n")
 }
 
 func generateNullary(f *os.File, i int) {
@@ -347,6 +381,8 @@ func generatePipeHelpers(filename string, count int) error {
 	generateVariadic(f, 0)
 	// unvariadic
 	generateUnvariadic(f, 0)
+	// unsliced
+	generateUnsliced(f, 0)
 
 	for i := 1; i <= count; i++ {
 
@@ -364,6 +400,8 @@ func generatePipeHelpers(filename string, count int) error {
 		generateVariadic(f, i)
 		// unvariadic
 		generateUnvariadic(f, i)
+		// unsliced
+		generateUnsliced(f, i)
 	}
 
 	return nil

cli/tuple.go

@@ -338,7 +338,7 @@ func generateUntupled(f *os.File, i int) {
 
 func generateTupled(f *os.File, i int) {
 	// Create the optionize version
-	fmt.Fprintf(f, "\n// Tupled%d converts a function with %d parameters returning into a function taking a Tuple%d\n// The inverse function is [Untupled%d]\n", i, i, i, i)
+	fmt.Fprintf(f, "\n// Tupled%d converts a function with %d parameters into a function taking a Tuple%d\n// The inverse function is [Untupled%d]\n", i, i, i, i)
 	fmt.Fprintf(f, "func Tupled%d[F ~func(", i)
 	for j := 0; j < i; j++ {
 		if j > 0 {

context/reader/array.go

@@ -24,6 +24,11 @@ func TraverseArray[A, B any](f func(A) Reader[B]) func([]A) Reader[[]B] {
 	return R.TraverseArray[Reader[B], Reader[[]B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[A, B any](f func(int, A) Reader[B]) func([]A) Reader[[]B] {
+	return R.TraverseArrayWithIndex[Reader[B], Reader[[]B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[A any](ma []Reader[A]) Reader[[]A] {
 	return R.SequenceArray[Reader[A], Reader[[]A]](ma)

context/readereither/array.go

@@ -24,6 +24,11 @@ func TraverseArray[A, B any](f func(A) ReaderEither[B]) func([]A) ReaderEither[[
 	return RE.TraverseArray[ReaderEither[B], ReaderEither[[]B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[A, B any](f func(int, A) ReaderEither[B]) func([]A) ReaderEither[[]B] {
+	return RE.TraverseArrayWithIndex[ReaderEither[B], ReaderEither[[]B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[A any](ma []ReaderEither[A]) ReaderEither[[]A] {
 	return RE.SequenceArray[ReaderEither[A], ReaderEither[[]A]](ma)

context/readerio/array.go

@@ -25,6 +25,11 @@ func TraverseArray[A, B any](f func(A) ReaderIO[B]) func([]A) ReaderIO[[]B] {
 	return R.TraverseArray[ReaderIO[B], ReaderIO[[]B], IO.IO[B], IO.IO[[]B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[A, B any](f func(int, A) ReaderIO[B]) func([]A) ReaderIO[[]B] {
+	return R.TraverseArrayWithIndex[ReaderIO[B], ReaderIO[[]B], IO.IO[B], IO.IO[[]B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[A any](ma []ReaderIO[A]) ReaderIO[[]A] {
 	return R.SequenceArray[ReaderIO[A], ReaderIO[[]A]](ma)

context/readerioeither/gen.go

@@ -2,7 +2,7 @@ package readerioeither
 
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:58:56.457404 +0200 CEST m=+0.024265101
+// 2023-09-12 13:44:14.1022311 +0200 CEST m=+0.017763401
 
 import (
 	"context"

context/readerioeither/generic/gen.go

@@ -2,7 +2,7 @@ package generic
 
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:58:56.457404 +0200 CEST m=+0.024265101
+// 2023-09-12 13:44:14.1036885 +0200 CEST m=+0.019220801
 
 import (
 	"context"

context/readerioeither/generic/monoid.go

@@ -0,0 +1,56 @@
+//   Copyright (c) 2023 IBM Corp.
+//   All rights reserved.
+//
+//   Licensed under the Apache License, Version 2.0 (the "License");
+//   you may not use this file except in compliance with the License.
+//   You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+//   Unless required by applicable law or agreed to in writing, software
+//   distributed under the License is distributed on an "AS IS" BASIS,
+//   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//   See the License for the specific language governing permissions and
+//   limitations under the License.
+
+package generic
+
+import (
+	"context"
+
+	ET "github.com/IBM/fp-go/either"
+	M "github.com/IBM/fp-go/monoid"
+)
+
+func ApplicativeMonoid[GRA ~func(context.Context) GIOA, GRFA ~func(context.Context) GIOFA, GIOA ~func() ET.Either[error, A], GIOFA ~func() ET.Either[error, func(A) A], A any](
+	m M.Monoid[A],
+) M.Monoid[GRA] {
+	return M.ApplicativeMonoid(
+		Of[GRA],
+		MonadMap[GRA, GRFA],
+		MonadAp[GRA, GRA, GRFA],
+		m,
+	)
+}
+
+func ApplicativeMonoidSeq[GRA ~func(context.Context) GIOA, GRFA ~func(context.Context) GIOFA, GIOA ~func() ET.Either[error, A], GIOFA ~func() ET.Either[error, func(A) A], A any](
+	m M.Monoid[A],
+) M.Monoid[GRA] {
+	return M.ApplicativeMonoid(
+		Of[GRA],
+		MonadMap[GRA, GRFA],
+		MonadApSeq[GRA, GRA, GRFA],
+		m,
+	)
+}
+
+func ApplicativeMonoidPar[GRA ~func(context.Context) GIOA, GRFA ~func(context.Context) GIOFA, GIOA ~func() ET.Either[error, A], GIOFA ~func() ET.Either[error, func(A) A], A any](
+	m M.Monoid[A],
+) M.Monoid[GRA] {
+	return M.ApplicativeMonoid(
+		Of[GRA],
+		MonadMap[GRA, GRFA],
+		MonadApPar[GRA, GRA, GRFA],
+		m,
+	)
+}

context/readerioeither/generic/reader.go

@@ -543,3 +543,11 @@ func TryCatch[
 	A any](f func(context.Context) func() (A, error)) GRA {
 	return RIE.TryCatch[GRA](f, ER.IdentityError)
 }
+
+func MonadAlt[LAZY ~func() GEA, GEA ~func(context.Context) GIOA, GIOA ~func() E.Either[error, A], A any](first GEA, second LAZY) GEA {
+	return RIE.MonadAlt(first, second)
+}
+
+func Alt[LAZY ~func() GEA, GEA ~func(context.Context) GIOA, GIOA ~func() E.Either[error, A], A any](second LAZY) func(GEA) GEA {
+	return RIE.Alt(second)
+}

context/readerioeither/generic/semigroup.go

@@ -0,0 +1,29 @@
+//   Copyright (c) 2023 IBM Corp.
+//   All rights reserved.
+//
+//   Licensed under the Apache License, Version 2.0 (the "License");
+//   you may not use this file except in compliance with the License.
+//   You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+//   Unless required by applicable law or agreed to in writing, software
+//   distributed under the License is distributed on an "AS IS" BASIS,
+//   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//   See the License for the specific language governing permissions and
+//   limitations under the License.
+
+package generic
+
+import (
+	"context"
+
+	ET "github.com/IBM/fp-go/either"
+	S "github.com/IBM/fp-go/semigroup"
+)
+
+func AltSemigroup[GRA ~func(context.Context) GIOA, GIOA ~func() ET.Either[error, A], A any]() S.Semigroup[GRA] {
+	return S.AltSemigroup(
+		MonadAlt[func() GRA],
+	)
+}

context/readerioeither/generic/traverse.go

@@ -62,6 +62,25 @@ func TraverseArray[
 	)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[
+	AS ~[]A,
+	GRBS ~func(context.Context) GIOBS,
+	GRB ~func(context.Context) GIOB,
+	GIOBS ~func() E.Either[error, BS],
+	GIOB ~func() E.Either[error, B],
+	BS ~[]B,
+	A, B any](f func(int, A) GRB) func(AS) GRBS {
+
+	return RA.TraverseWithIndex[AS](
+		Of[GRBS, GIOBS, BS],
+		Map[GRBS, func(context.Context) func() E.Either[error, func(B) BS], GIOBS, func() E.Either[error, func(B) BS], BS, func(B) BS],
+		Ap[GRBS, func(context.Context) func() E.Either[error, func(B) BS], GRB],
+
+		f,
+	)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[
 	AS ~[]A,
@@ -115,6 +134,26 @@ func TraverseRecord[K comparable,
 	)
 }
 
+// TraverseRecordWithIndex transforms a record
+func TraverseRecordWithIndex[K comparable,
+	AS ~map[K]A,
+	GRBS ~func(context.Context) GIOBS,
+	GRB ~func(context.Context) GIOB,
+	GIOBS ~func() E.Either[error, BS],
+	GIOB ~func() E.Either[error, B],
+	BS ~map[K]B,
+
+	A, B any](f func(K, A) GRB) func(AS) GRBS {
+
+	return RR.TraverseWithIndex[AS](
+		Of[GRBS, GIOBS, BS],
+		Map[GRBS, func(context.Context) func() E.Either[error, func(B) BS], GIOBS, func() E.Either[error, func(B) BS], BS, func(B) BS],
+		Ap[GRBS, func(context.Context) func() E.Either[error, func(B) BS], GRB],
+
+		f,
+	)
+}
+
 // SequenceRecord converts a homogeneous sequence of either into an either of sequence
 func SequenceRecord[K comparable,
 	AS ~map[K]A,

context/readerioeither/monoid.go

@@ -0,0 +1,36 @@
+//   Copyright (c) 2023 IBM Corp.
+//   All rights reserved.
+//
+//   Licensed under the Apache License, Version 2.0 (the "License");
+//   you may not use this file except in compliance with the License.
+//   You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+//   Unless required by applicable law or agreed to in writing, software
+//   distributed under the License is distributed on an "AS IS" BASIS,
+//   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//   See the License for the specific language governing permissions and
+//   limitations under the License.
+
+package readerioeither
+
+import (
+	G "github.com/IBM/fp-go/context/readerioeither/generic"
+	M "github.com/IBM/fp-go/monoid"
+)
+
+// ApplicativeMonoid returns a [Monoid] that concatenates [ReaderIOEither] instances via their applicative
+func ApplicativeMonoid[A any](m M.Monoid[A]) M.Monoid[ReaderIOEither[A]] {
+	return G.ApplicativeMonoid[ReaderIOEither[A], ReaderIOEither[func(A) A]](m)
+}
+
+// ApplicativeMonoidSeq returns a [Monoid] that concatenates [ReaderIOEither] instances via their applicative
+func ApplicativeMonoidSeq[A any](m M.Monoid[A]) M.Monoid[ReaderIOEither[A]] {
+	return G.ApplicativeMonoidSeq[ReaderIOEither[A], ReaderIOEither[func(A) A]](m)
+}
+
+// ApplicativeMonoidPar returns a [Monoid] that concatenates [ReaderIOEither] instances via their applicative
+func ApplicativeMonoidPar[A any](m M.Monoid[A]) M.Monoid[ReaderIOEither[A]] {
+	return G.ApplicativeMonoidPar[ReaderIOEither[A], ReaderIOEither[func(A) A]](m)
+}

context/readerioeither/reader.go

@@ -25,6 +25,7 @@ import (
 	ET "github.com/IBM/fp-go/either"
 	IO "github.com/IBM/fp-go/io"
 	IOE "github.com/IBM/fp-go/ioeither"
+	L "github.com/IBM/fp-go/lazy"
 	O "github.com/IBM/fp-go/option"
 )
 
@@ -182,7 +183,7 @@ func Timer(delay time.Duration) ReaderIOEither[time.Time] {
 }
 
 // Defer creates an IO by creating a brand new IO via a generator function, each time
-func Defer[A any](gen func() ReaderIOEither[A]) ReaderIOEither[A] {
+func Defer[A any](gen L.Lazy[ReaderIOEither[A]]) ReaderIOEither[A] {
 	return G.Defer[ReaderIOEither[A]](gen)
 }
 
@@ -190,3 +191,13 @@ func Defer[A any](gen func() ReaderIOEither[A]) ReaderIOEither[A] {
 func TryCatch[A any](f func(context.Context) func() (A, error)) ReaderIOEither[A] {
 	return G.TryCatch[ReaderIOEither[A]](f)
 }
+
+// MonadAlt identifies an associative operation on a type constructor
+func MonadAlt[A any](first ReaderIOEither[A], second L.Lazy[ReaderIOEither[A]]) ReaderIOEither[A] {
+	return G.MonadAlt(first, second)
+}
+
+// Alt identifies an associative operation on a type constructor
+func Alt[A any](second L.Lazy[ReaderIOEither[A]]) func(ReaderIOEither[A]) ReaderIOEither[A] {
+	return G.Alt(second)
+}

context/readerioeither/semigroup.go

@@ -0,0 +1,26 @@
+//   Copyright (c) 2023 IBM Corp.
+//   All rights reserved.
+//
+//   Licensed under the Apache License, Version 2.0 (the "License");
+//   you may not use this file except in compliance with the License.
+//   You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+//   Unless required by applicable law or agreed to in writing, software
+//   distributed under the License is distributed on an "AS IS" BASIS,
+//   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//   See the License for the specific language governing permissions and
+//   limitations under the License.
+
+package readerioeither
+
+import (
+	G "github.com/IBM/fp-go/context/readerioeither/generic"
+	S "github.com/IBM/fp-go/semigroup"
+)
+
+// AltSemigroup is a [Semigroup] that tries the first item and then the second one using an alternative
+func AltSemigroup[A any]() S.Semigroup[ReaderIOEither[A]] {
+	return G.AltSemigroup[ReaderIOEither[A]]()
+}

context/readerioeither/traverse.go

@@ -24,6 +24,11 @@ func TraverseArray[A, B any](f func(A) ReaderIOEither[B]) func([]A) ReaderIOEith
 	return G.TraverseArray[[]A, ReaderIOEither[[]B]](f)
 }
 
+// TraverseArrayWithIndex uses transforms an array [[]A] into [[]ReaderIOEither[B]] and then resolves that into a [ReaderIOEither[[]B]]
+func TraverseArrayWithIndex[A, B any](f func(int, A) ReaderIOEither[B]) func([]A) ReaderIOEither[[]B] {
+	return G.TraverseArrayWithIndex[[]A, ReaderIOEither[[]B]](f)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[A any](ma []ReaderIOEither[A]) ReaderIOEither[[]A] {
 	return G.SequenceArray[[]A, []ReaderIOEither[A], ReaderIOEither[[]A]](ma)
@@ -34,6 +39,11 @@ func TraverseRecord[K comparable, A, B any](f func(A) ReaderIOEither[B]) func(ma
 	return G.TraverseRecord[K, map[K]A, ReaderIOEither[map[K]B]](f)
 }
 
+// TraverseRecordWithIndex uses transforms a record [map[K]A] into [map[K]ReaderIOEither[B]] and then resolves that into a [ReaderIOEither[map[K]B]]
+func TraverseRecordWithIndex[K comparable, A, B any](f func(K, A) ReaderIOEither[B]) func(map[K]A) ReaderIOEither[map[K]B] {
+	return G.TraverseRecordWithIndex[K, map[K]A, ReaderIOEither[map[K]B]](f)
+}
+
 // SequenceRecord converts a homogeneous sequence of either into an either of sequence
 func SequenceRecord[K comparable, A any](ma map[K]ReaderIOEither[A]) ReaderIOEither[map[K]A] {
 	return G.SequenceRecord[K, map[K]A, map[K]ReaderIOEither[A], ReaderIOEither[map[K]A]](ma)

coverage.bat

@@ -0,0 +1,2 @@
+@echo off
+go tool cover -html=build/cover.out -o build/cover.html

either/apply.go

@@ -24,6 +24,7 @@ func ApplySemigroup[E, A any](s S.Semigroup[A]) S.Semigroup[Either[E, A]] {
 	return S.ApplySemigroup(MonadMap[E, A, func(A) A], MonadAp[A, E, A], s)
 }
 
+// ApplicativeMonoid returns a [Monoid] that concatenates [Either] instances via their applicative
 func ApplicativeMonoid[E, A any](m M.Monoid[A]) M.Monoid[Either[E, A]] {
 	return M.ApplicativeMonoid(Of[E, A], MonadMap[E, A, func(A) A], MonadAp[A, E, A], m)
 }

either/array.go

@@ -20,7 +20,7 @@ import (
 	RA "github.com/IBM/fp-go/internal/array"
 )
 
-// TraverseArray transforms an array
+// TraverseArrayG transforms an array
 func TraverseArrayG[GA ~[]A, GB ~[]B, E, A, B any](f func(A) Either[E, B]) func(GA) Either[E, GB] {
 	return RA.Traverse[GA](
 		Of[E, GB],
@@ -36,6 +36,22 @@ func TraverseArray[E, A, B any](f func(A) Either[E, B]) func([]A) Either[E, []B]
 	return TraverseArrayG[[]A, []B](f)
 }
 
+// TraverseArrayWithIndexG transforms an array
+func TraverseArrayWithIndexG[GA ~[]A, GB ~[]B, E, A, B any](f func(int, A) Either[E, B]) func(GA) Either[E, GB] {
+	return RA.TraverseWithIndex[GA](
+		Of[E, GB],
+		Map[E, GB, func(B) GB],
+		Ap[GB, E, B],
+
+		f,
+	)
+}
+
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[E, A, B any](f func(int, A) Either[E, B]) func([]A) Either[E, []B] {
+	return TraverseArrayWithIndexG[[]A, []B](f)
+}
+
 func SequenceArrayG[GA ~[]A, GOA ~[]Either[E, A], E, A any](ma GOA) Either[E, GA] {
 	return TraverseArrayG[GOA, GA](F.Identity[Either[E, A]])(ma)
 }

either/either.go

@@ -209,7 +209,7 @@ func OrElse[E, A any](onLeft func(e E) Either[E, A]) func(Either[E, A]) Either[E
 	return Fold(onLeft, Of[E, A])
 }
 
-func ToType[E, A any](onError func(any) E) func(any) Either[E, A] {
+func ToType[A, E any](onError func(any) E) func(any) Either[E, A] {
 	return func(value any) Either[E, A] {
 		return F.Pipe2(
 			value,

either/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:58:57.9925506 +0200 CEST m=+0.033401101
+// 2023-09-12 13:44:15.6356542 +0200 CEST m=+0.009418901
 
 package either
 

either/record.go

@@ -20,7 +20,7 @@ import (
 	RR "github.com/IBM/fp-go/internal/record"
 )
 
-// TraverseRecord transforms a record of options into an option of a record
+// TraverseRecordG transforms a record of options into an option of a record
 func TraverseRecordG[GA ~map[K]A, GB ~map[K]B, K comparable, E, A, B any](f func(A) Either[E, B]) func(GA) Either[E, GB] {
 	return RR.Traverse[GA](
 		Of[E, GB],
@@ -35,6 +35,21 @@ func TraverseRecord[K comparable, E, A, B any](f func(A) Either[E, B]) func(map[
 	return TraverseRecordG[map[K]A, map[K]B](f)
 }
 
+// TraverseRecordWithIndexG transforms a record of options into an option of a record
+func TraverseRecordWithIndexG[GA ~map[K]A, GB ~map[K]B, K comparable, E, A, B any](f func(K, A) Either[E, B]) func(GA) Either[E, GB] {
+	return RR.TraverseWithIndex[GA](
+		Of[E, GB],
+		Map[E, GB, func(B) GB],
+		Ap[GB, E, B],
+		f,
+	)
+}
+
+// TraverseRecordWithIndex transforms a record of eithers into an either of a record
+func TraverseRecordWithIndex[K comparable, E, A, B any](f func(K, A) Either[E, B]) func(map[K]A) Either[E, map[K]B] {
+	return TraverseRecordWithIndexG[map[K]A, map[K]B](f)
+}
+
 func SequenceRecordG[GA ~map[K]A, GOA ~map[K]Either[E, A], K comparable, E, A any](ma GOA) Either[E, GA] {
 	return TraverseRecordG[GOA, GA](F.Identity[Either[E, A]])(ma)
 }

function/bind.go

@@ -26,6 +26,7 @@ func Bind2nd[T1, T2, R any](f func(T1, T2) R, t2 T2) func(T1) R {
 	}
 }
 
+// SK function (SKI combinator calculus).
 func SK[T1, T2 any](_ T1, t2 T2) T2 {
 	return t2
 }

function/binds.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:01.9404821 +0200 CEST m=+0.161366801
+// 2023-09-12 13:44:23.4226437 +0200 CEST m=+0.011841001
 
 package function
 

function/cache.go

@@ -19,12 +19,12 @@ import (
 	G "github.com/IBM/fp-go/function/generic"
 )
 
-// Cache converts a unary function into a unary function that caches the value depending on the parameter
-func Cache[K comparable, T any](f func(K) T) func(K) T {
-	return G.Cache(f)
+// Memoize converts a unary function into a unary function that caches the value depending on the parameter
+func Memoize[K comparable, T any](f func(K) T) func(K) T {
+	return G.Memoize(f)
 }
 
-// ContramapCache converts a unary function into a unary function that caches the value depending on the parameter
-func ContramapCache[A any, K comparable, T any](kf func(A) K) func(func(A) T) func(A) T {
-	return G.ContramapCache[func(A) T](kf)
+// ContramapMemoize converts a unary function into a unary function that caches the value depending on the parameter
+func ContramapMemoize[A any, K comparable, T any](kf func(A) K) func(func(A) T) func(A) T {
+	return G.ContramapMemoize[func(A) T](kf)
 }

function/cache_test.go

@@ -29,7 +29,7 @@ func TestCache(t *testing.T) {
 		return n
 	}
 
-	cached := Cache(withSideEffect)
+	cached := Memoize(withSideEffect)
 
 	assert.Equal(t, 0, count)
 

function/function.go

@@ -62,6 +62,7 @@ func First[T1, T2 any](t1 T1, _ T2) T1 {
 }
 
 // Second returns the second out of two input values
+// Identical to [SK]
 func Second[T1, T2 any](_ T1, t2 T2) T2 {
 	return t2
 }

function/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:58:59.8663985 +0200 CEST m=+0.103744101
+// 2023-09-12 13:44:17.0002767 +0200 CEST m=+0.008233101
 
 package function
 
@@ -24,6 +24,13 @@ func Unvariadic0[V, R any](f func(...V) R) func([]V) R {
 	}
 }
 
+// Unsliced0 converts a function taking a slice parameter into a function with 0 parameters
+func Unsliced0[F ~func([]T) R, T, R any](f F) func() R {
+	return func() R {
+		return f([]T{})
+	}
+}
+
 // Pipe1 takes an initial value t0 and successively applies 1 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe1[F1 ~func(T0) T1, T0, T1 any](t0 T0, f1 F1) T1 {
@@ -76,6 +83,13 @@ func Unvariadic1[T1, V, R any](f func(T1, ...V) R) func(T1, []V) R {
 	}
 }
 
+// Unsliced1 converts a function taking a slice parameter into a function with 1 parameters
+func Unsliced1[F ~func([]T) R, T, R any](f F) func(T) R {
+	return func(t1 T) R {
+		return f([]T{t1})
+	}
+}
+
 // Pipe2 takes an initial value t0 and successively applies 2 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe2[F1 ~func(T0) T1, F2 ~func(T1) T2, T0, T1, T2 any](t0 T0, f1 F1, f2 F2) T2 {
@@ -131,6 +145,13 @@ func Unvariadic2[T1, T2, V, R any](f func(T1, T2, ...V) R) func(T1, T2, []V) R {
 	}
 }
 
+// Unsliced2 converts a function taking a slice parameter into a function with 2 parameters
+func Unsliced2[F ~func([]T) R, T, R any](f F) func(T, T) R {
+	return func(t1, t2 T) R {
+		return f([]T{t1, t2})
+	}
+}
+
 // Pipe3 takes an initial value t0 and successively applies 3 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe3[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, T0, T1, T2, T3 any](t0 T0, f1 F1, f2 F2, f3 F3) T3 {
@@ -189,6 +210,13 @@ func Unvariadic3[T1, T2, T3, V, R any](f func(T1, T2, T3, ...V) R) func(T1, T2,
 	}
 }
 
+// Unsliced3 converts a function taking a slice parameter into a function with 3 parameters
+func Unsliced3[F ~func([]T) R, T, R any](f F) func(T, T, T) R {
+	return func(t1, t2, t3 T) R {
+		return f([]T{t1, t2, t3})
+	}
+}
+
 // Pipe4 takes an initial value t0 and successively applies 4 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe4[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, T0, T1, T2, T3, T4 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4) T4 {
@@ -250,6 +278,13 @@ func Unvariadic4[T1, T2, T3, T4, V, R any](f func(T1, T2, T3, T4, ...V) R) func(
 	}
 }
 
+// Unsliced4 converts a function taking a slice parameter into a function with 4 parameters
+func Unsliced4[F ~func([]T) R, T, R any](f F) func(T, T, T, T) R {
+	return func(t1, t2, t3, t4 T) R {
+		return f([]T{t1, t2, t3, t4})
+	}
+}
+
 // Pipe5 takes an initial value t0 and successively applies 5 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe5[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, T0, T1, T2, T3, T4, T5 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5) T5 {
@@ -314,6 +349,13 @@ func Unvariadic5[T1, T2, T3, T4, T5, V, R any](f func(T1, T2, T3, T4, T5, ...V)
 	}
 }
 
+// Unsliced5 converts a function taking a slice parameter into a function with 5 parameters
+func Unsliced5[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5 T) R {
+		return f([]T{t1, t2, t3, t4, t5})
+	}
+}
+
 // Pipe6 takes an initial value t0 and successively applies 6 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe6[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, T0, T1, T2, T3, T4, T5, T6 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6) T6 {
@@ -381,6 +423,13 @@ func Unvariadic6[T1, T2, T3, T4, T5, T6, V, R any](f func(T1, T2, T3, T4, T5, T6
 	}
 }
 
+// Unsliced6 converts a function taking a slice parameter into a function with 6 parameters
+func Unsliced6[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6})
+	}
+}
+
 // Pipe7 takes an initial value t0 and successively applies 7 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe7[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, T0, T1, T2, T3, T4, T5, T6, T7 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7) T7 {
@@ -451,6 +500,13 @@ func Unvariadic7[T1, T2, T3, T4, T5, T6, T7, V, R any](f func(T1, T2, T3, T4, T5
 	}
 }
 
+// Unsliced7 converts a function taking a slice parameter into a function with 7 parameters
+func Unsliced7[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7})
+	}
+}
+
 // Pipe8 takes an initial value t0 and successively applies 8 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe8[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, T0, T1, T2, T3, T4, T5, T6, T7, T8 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8) T8 {
@@ -524,6 +580,13 @@ func Unvariadic8[T1, T2, T3, T4, T5, T6, T7, T8, V, R any](f func(T1, T2, T3, T4
 	}
 }
 
+// Unsliced8 converts a function taking a slice parameter into a function with 8 parameters
+func Unsliced8[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8})
+	}
+}
+
 // Pipe9 takes an initial value t0 and successively applies 9 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe9[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9) T9 {
@@ -600,6 +663,13 @@ func Unvariadic9[T1, T2, T3, T4, T5, T6, T7, T8, T9, V, R any](f func(T1, T2, T3
 	}
 }
 
+// Unsliced9 converts a function taking a slice parameter into a function with 9 parameters
+func Unsliced9[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9})
+	}
+}
+
 // Pipe10 takes an initial value t0 and successively applies 10 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe10[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10) T10 {
@@ -679,6 +749,13 @@ func Unvariadic10[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, V, R any](f func(T1,
 	}
 }
 
+// Unsliced10 converts a function taking a slice parameter into a function with 10 parameters
+func Unsliced10[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10})
+	}
+}
+
 // Pipe11 takes an initial value t0 and successively applies 11 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe11[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11) T11 {
@@ -761,6 +838,13 @@ func Unvariadic11[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, V, R any](f func
 	}
 }
 
+// Unsliced11 converts a function taking a slice parameter into a function with 11 parameters
+func Unsliced11[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11})
+	}
+}
+
 // Pipe12 takes an initial value t0 and successively applies 12 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe12[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12) T12 {
@@ -846,6 +930,13 @@ func Unvariadic12[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, V, R any](f
 	}
 }
 
+// Unsliced12 converts a function taking a slice parameter into a function with 12 parameters
+func Unsliced12[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12})
+	}
+}
+
 // Pipe13 takes an initial value t0 and successively applies 13 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe13[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, F13 ~func(T12) T13, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12, f13 F13) T13 {
@@ -934,6 +1025,13 @@ func Unvariadic13[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, V, R a
 	}
 }
 
+// Unsliced13 converts a function taking a slice parameter into a function with 13 parameters
+func Unsliced13[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13})
+	}
+}
+
 // Pipe14 takes an initial value t0 and successively applies 14 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe14[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, F13 ~func(T12) T13, F14 ~func(T13) T14, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12, f13 F13, f14 F14) T14 {
@@ -1025,6 +1123,13 @@ func Unvariadic14[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, V
 	}
 }
 
+// Unsliced14 converts a function taking a slice parameter into a function with 14 parameters
+func Unsliced14[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14})
+	}
+}
+
 // Pipe15 takes an initial value t0 and successively applies 15 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe15[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, F13 ~func(T12) T13, F14 ~func(T13) T14, F15 ~func(T14) T15, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T15 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12, f13 F13, f14 F14, f15 F15) T15 {
@@ -1119,6 +1224,13 @@ func Unvariadic15[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T
 	}
 }
 
+// Unsliced15 converts a function taking a slice parameter into a function with 15 parameters
+func Unsliced15[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15})
+	}
+}
+
 // Pipe16 takes an initial value t0 and successively applies 16 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe16[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, F13 ~func(T12) T13, F14 ~func(T13) T14, F15 ~func(T14) T15, F16 ~func(T15) T16, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T15, T16 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12, f13 F13, f14 F14, f15 F15, f16 F16) T16 {
@@ -1216,6 +1328,13 @@ func Unvariadic16[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T
 	}
 }
 
+// Unsliced16 converts a function taking a slice parameter into a function with 16 parameters
+func Unsliced16[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16})
+	}
+}
+
 // Pipe17 takes an initial value t0 and successively applies 17 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe17[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, F13 ~func(T12) T13, F14 ~func(T13) T14, F15 ~func(T14) T15, F16 ~func(T15) T16, F17 ~func(T16) T17, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T15, T16, T17 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12, f13 F13, f14 F14, f15 F15, f16 F16, f17 F17) T17 {
@@ -1316,6 +1435,13 @@ func Unvariadic17[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T
 	}
 }
 
+// Unsliced17 converts a function taking a slice parameter into a function with 17 parameters
+func Unsliced17[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17})
+	}
+}
+
 // Pipe18 takes an initial value t0 and successively applies 18 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe18[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, F13 ~func(T12) T13, F14 ~func(T13) T14, F15 ~func(T14) T15, F16 ~func(T15) T16, F17 ~func(T16) T17, F18 ~func(T17) T18, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T15, T16, T17, T18 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12, f13 F13, f14 F14, f15 F15, f16 F16, f17 F17, f18 F18) T18 {
@@ -1419,6 +1545,13 @@ func Unvariadic18[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T
 	}
 }
 
+// Unsliced18 converts a function taking a slice parameter into a function with 18 parameters
+func Unsliced18[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18})
+	}
+}
+
 // Pipe19 takes an initial value t0 and successively applies 19 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe19[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, F13 ~func(T12) T13, F14 ~func(T13) T14, F15 ~func(T14) T15, F16 ~func(T15) T16, F17 ~func(T16) T17, F18 ~func(T17) T18, F19 ~func(T18) T19, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T15, T16, T17, T18, T19 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12, f13 F13, f14 F14, f15 F15, f16 F16, f17 F17, f18 F18, f19 F19) T19 {
@@ -1525,6 +1658,13 @@ func Unvariadic19[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T
 	}
 }
 
+// Unsliced19 converts a function taking a slice parameter into a function with 19 parameters
+func Unsliced19[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19})
+	}
+}
+
 // Pipe20 takes an initial value t0 and successively applies 20 functions where the input of a function is the return value of the previous function
 // The final return value is the result of the last function application
 func Pipe20[F1 ~func(T0) T1, F2 ~func(T1) T2, F3 ~func(T2) T3, F4 ~func(T3) T4, F5 ~func(T4) T5, F6 ~func(T5) T6, F7 ~func(T6) T7, F8 ~func(T7) T8, F9 ~func(T8) T9, F10 ~func(T9) T10, F11 ~func(T10) T11, F12 ~func(T11) T12, F13 ~func(T12) T13, F14 ~func(T13) T14, F15 ~func(T14) T15, F16 ~func(T15) T16, F17 ~func(T16) T17, F18 ~func(T17) T18, F19 ~func(T18) T19, F20 ~func(T19) T20, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T15, T16, T17, T18, T19, T20 any](t0 T0, f1 F1, f2 F2, f3 F3, f4 F4, f5 F5, f6 F6, f7 F7, f8 F8, f9 F9, f10 F10, f11 F11, f12 F12, f13 F13, f14 F14, f15 F15, f16 F16, f17 F17, f18 F18, f19 F19, f20 F20) T20 {
@@ -1633,3 +1773,10 @@ func Unvariadic20[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T13, T14, T
 		return f(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20, v...)
 	}
 }
+
+// Unsliced20 converts a function taking a slice parameter into a function with 20 parameters
+func Unsliced20[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T, T) R {
+	return func(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20 T) R {
+		return f([]T{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20})
+	}
+}

function/generic/cache.go

@@ -21,13 +21,13 @@ import (
 	L "github.com/IBM/fp-go/internal/lazy"
 )
 
-// Cache converts a unary function into a unary function that caches the value depending on the parameter
-func Cache[F ~func(K) T, K comparable, T any](f F) F {
-	return ContramapCache[F](func(k K) K { return k })(f)
+// Memoize converts a unary function into a unary function that caches the value depending on the parameter
+func Memoize[F ~func(K) T, K comparable, T any](f F) F {
+	return ContramapMemoize[F](func(k K) K { return k })(f)
 }
 
-// ContramapCache converts a unary function into a unary function that caches the value depending on the parameter
-func ContramapCache[F ~func(A) T, KF func(A) K, A any, K comparable, T any](kf KF) func(F) F {
+// ContramapMemoize converts a unary function into a unary function that caches the value depending on the parameter
+func ContramapMemoize[F ~func(A) T, KF func(A) K, A any, K comparable, T any](kf KF) func(F) F {
 	return CacheCallback[F](kf, getOrCreate[K, T]())
 }
 

function/unvariadic_test.go

@@ -0,0 +1,45 @@
+// Copyright (c) 2023 IBM Corp.
+// All rights reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+package function
+
+import (
+	"strings"
+	"testing"
+
+	"github.com/stretchr/testify/assert"
+)
+
+func fromLibrary(data ...string) string {
+	return strings.Join(data, "-")
+}
+
+func TestUnvariadic(t *testing.T) {
+
+	res := Pipe1(
+		[]string{"A", "B"},
+		Unvariadic0(fromLibrary),
+	)
+
+	assert.Equal(t, "A-B", res)
+}
+
+func TestVariadicArity(t *testing.T) {
+
+	f := Unsliced2(Unvariadic0(fromLibrary))
+
+	res := f("A", "B")
+	assert.Equal(t, "A-B", res)
+}

identity/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:06.2987136 +0200 CEST m=+0.049156901
+// 2023-09-12 13:44:24.9409324 +0200 CEST m=+0.008573601
 
 package identity
 

internal/apply/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:08.1313362 +0200 CEST m=+0.111171801
+// 2023-09-12 13:44:26.2499883 +0200 CEST m=+0.007601301
 
 package apply
 

internal/array/traverse.go

@@ -37,6 +37,24 @@ func MonadTraverse[GA ~[]A, GB ~[]B, A, B, HKTB, HKTAB, HKTRB any](
 	return MonadTraverseReduce(fof, fmap, fap, ta, f, Append[GB, B], Empty[GB]())
 }
 
+/*
+*
+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
+
+HKTRB = HKT<GB>
+HKTB = HKT<B>
+HKTAB = HKT<func(A)B>
+*/
+func MonadTraverseWithIndex[GA ~[]A, GB ~[]B, A, B, HKTB, HKTAB, HKTRB any](
+	fof func(GB) HKTRB,
+	fmap func(func(GB) func(B) GB) func(HKTRB) HKTAB,
+	fap func(HKTB) func(HKTAB) HKTRB,
+
+	ta GA,
+	f func(int, A) HKTB) HKTRB {
+	return MonadTraverseReduceWithIndex(fof, fmap, fap, ta, f, Append[GB, B], Empty[GB]())
+}
+
 func Traverse[GA ~[]A, GB ~[]B, A, B, HKTB, HKTAB, HKTRB any](
 	fof func(GB) HKTRB,
 	fmap func(func(GB) func(B) GB) func(HKTRB) HKTAB,
@@ -49,6 +67,18 @@ func Traverse[GA ~[]A, GB ~[]B, A, B, HKTB, HKTAB, HKTRB any](
 	}
 }
 
+func TraverseWithIndex[GA ~[]A, GB ~[]B, A, B, HKTB, HKTAB, HKTRB any](
+	fof func(GB) HKTRB,
+	fmap func(func(GB) func(B) GB) func(HKTRB) HKTAB,
+	fap func(HKTB) func(HKTAB) HKTRB,
+
+	f func(int, A) HKTB) func(GA) HKTRB {
+
+	return func(ma GA) HKTRB {
+		return MonadTraverseWithIndex(fof, fmap, fap, ma, f)
+	}
+}
+
 func MonadTraverseReduce[GA ~[]A, GB, A, B, HKTB, HKTAB, HKTRB any](
 	fof func(GB) HKTRB,
 	fmap func(func(GB) func(B) GB) func(HKTRB) HKTAB,
@@ -71,6 +101,28 @@ func MonadTraverseReduce[GA ~[]A, GB, A, B, HKTB, HKTAB, HKTRB any](
 	}, fof(initial))
 }
 
+func MonadTraverseReduceWithIndex[GA ~[]A, GB, A, B, HKTB, HKTAB, HKTRB any](
+	fof func(GB) HKTRB,
+	fmap func(func(GB) func(B) GB) func(HKTRB) HKTAB,
+	fap func(HKTB) func(HKTAB) HKTRB,
+
+	ta GA,
+
+	transform func(int, A) HKTB,
+	reduce func(GB, B) GB,
+	initial GB,
+) HKTRB {
+	mmap := fmap(F.Curry2(reduce))
+
+	return ReduceWithIndex(ta, func(idx int, r HKTRB, a A) HKTRB {
+		return F.Pipe2(
+			r,
+			mmap,
+			fap(transform(idx, a)),
+		)
+	}, fof(initial))
+}
+
 func TraverseReduce[GA ~[]A, GB, A, B, HKTB, HKTAB, HKTRB any](
 	fof func(GB) HKTRB,
 	fmap func(func(GB) func(B) GB) func(HKTRB) HKTAB,
@@ -84,3 +136,17 @@ func TraverseReduce[GA ~[]A, GB, A, B, HKTB, HKTAB, HKTRB any](
 		return MonadTraverseReduce(fof, fmap, fap, ta, transform, reduce, initial)
 	}
 }
+
+func TraverseReduceWithIndex[GA ~[]A, GB, A, B, HKTB, HKTAB, HKTRB any](
+	fof func(GB) HKTRB,
+	fmap func(func(GB) func(B) GB) func(HKTRB) HKTAB,
+	fap func(HKTB) func(HKTAB) HKTRB,
+
+	transform func(int, A) HKTB,
+	reduce func(GB, B) GB,
+	initial GB,
+) func(GA) HKTRB {
+	return func(ta GA) HKTRB {
+		return MonadTraverseReduceWithIndex(fof, fmap, fap, ta, transform, reduce, initial)
+	}
+}

internal/eithert/either.go

@@ -22,6 +22,16 @@ import (
 	FC "github.com/IBM/fp-go/internal/functor"
 )
 
+func MonadAlt[LAZY ~func() HKTFA, E, A, HKTFA any](
+	fof func(ET.Either[E, A]) HKTFA,
+	fchain func(HKTFA, func(ET.Either[E, A]) HKTFA) HKTFA,
+
+	first HKTFA,
+	second LAZY) HKTFA {
+
+	return fchain(first, ET.Fold(F.Ignore1of1[E](second), F.Flow2(ET.Of[E, A], fof)))
+}
+
 // HKTFA = HKT<F, Either<E, A>>
 // HKTFB = HKT<F, Either<E, B>>
 func MonadMap[E, A, B, HKTFA, HKTFB any](fmap func(HKTFA, func(ET.Either[E, A]) ET.Either[E, B]) HKTFB, fa HKTFA, f func(A) B) HKTFB {

io/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:10.1040409 +0200 CEST m=+0.089470201
+// 2023-09-12 13:44:27.9813739 +0200 CEST m=+0.011088001
 
 package io
 

io/generic/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:10.1132645 +0200 CEST m=+0.098693801
+// 2023-09-12 13:44:27.9813739 +0200 CEST m=+0.011088001
 package generic
 
 import (

io/generic/traverse.go

@@ -42,6 +42,16 @@ func TraverseArray[GB ~func() B, GBS ~func() BBS, AAS ~[]A, BBS ~[]B, A, B any](
 	)
 }
 
+func TraverseArrayWithIndex[GB ~func() B, GBS ~func() BBS, AAS ~[]A, BBS ~[]B, A, B any](f func(int, A) GB) func(AAS) GBS {
+	return RA.TraverseWithIndex[AAS](
+		Of[GBS, BBS],
+		Map[GBS, func() func(B) BBS, BBS, func(B) BBS],
+		Ap[GBS, func() func(B) BBS, GB],
+
+		f,
+	)
+}
+
 func SequenceArray[GA ~func() A, GAS ~func() AAS, AAS ~[]A, GAAS ~[]GA, A any](tas GAAS) GAS {
 	return MonadTraverseArray[GA, GAS](tas, F.Identity[GA])
 }
@@ -66,6 +76,16 @@ func TraverseRecord[GB ~func() B, GBS ~func() MB, MA ~map[K]A, MB ~map[K]B, K co
 	)
 }
 
+// TraverseRecordWithIndex transforms a record using an IO transform an IO of a record
+func TraverseRecordWithIndex[GB ~func() B, GBS ~func() MB, MA ~map[K]A, MB ~map[K]B, K comparable, A, B any](f func(K, A) GB) func(MA) GBS {
+	return RR.TraverseWithIndex[MA](
+		Of[GBS, MB],
+		Map[GBS, func() func(B) MB, MB, func(B) MB],
+		Ap[GBS, func() func(B) MB, GB],
+		f,
+	)
+}
+
 func SequenceRecord[GA ~func() A, GAS ~func() AAS, AAS ~map[K]A, GAAS ~map[K]GA, K comparable, A any](tas GAAS) GAS {
 	return MonadTraverseRecord[GA, GAS](tas, F.Identity[GA])
 }

io/traverse.go

@@ -29,6 +29,12 @@ func TraverseArray[A, B any](f func(A) IO[B]) func([]A) IO[[]B] {
 	return G.TraverseArray[IO[B], IO[[]B], []A](f)
 }
 
+// TraverseArrayWithIndex applies a function returning an [IO] to all elements in an array and the
+// transforms this into an [IO] of that array
+func TraverseArrayWithIndex[A, B any](f func(int, A) IO[B]) func([]A) IO[[]B] {
+	return G.TraverseArrayWithIndex[IO[B], IO[[]B], []A](f)
+}
+
 // SequenceArray converts an array of [IO] to an [IO] of an array
 func SequenceArray[A any](tas []IO[A]) IO[[]A] {
 	return G.SequenceArray[IO[A], IO[[]A]](tas)
@@ -38,12 +44,18 @@ func MonadTraverseRecord[K comparable, A, B any](tas map[K]A, f func(A) IO[B]) I
 	return G.MonadTraverseRecord[IO[B], IO[map[K]B]](tas, f)
 }
 
-// TraverseArray applies a function returning an [IO] to all elements in a record and the
+// TraverseRecord applies a function returning an [IO] to all elements in a record and the
 // transforms this into an [IO] of that record
 func TraverseRecord[K comparable, A, B any](f func(A) IO[B]) func(map[K]A) IO[map[K]B] {
 	return G.TraverseRecord[IO[B], IO[map[K]B], map[K]A](f)
 }
 
+// TraverseRecordWithIndex applies a function returning an [IO] to all elements in a record and the
+// transforms this into an [IO] of that record
+func TraverseRecordWithIndex[K comparable, A, B any](f func(K, A) IO[B]) func(map[K]A) IO[map[K]B] {
+	return G.TraverseRecordWithIndex[IO[B], IO[map[K]B], map[K]A](f)
+}
+
 // SequenceRecord converts a record of [IO] to an [IO] of a record
 func SequenceRecord[K comparable, A any](tas map[K]IO[A]) IO[map[K]A] {
 	return G.SequenceRecord[IO[A], IO[map[K]A]](tas)

ioeither/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:12.0033119 +0200 CEST m=+0.096740401
+// 2023-09-12 13:44:29.4935658 +0200 CEST m=+0.015377401
 
 package ioeither
 

ioeither/generic/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:12.0246635 +0200 CEST m=+0.118092001
+// 2023-09-12 13:44:29.4935658 +0200 CEST m=+0.015377401
 package generic
 
 import (

ioeither/generic/ioeither.go

@@ -290,3 +290,17 @@ func FromImpure[GA ~func() ET.Either[E, any], IMP ~func(), E any](f IMP) GA {
 func Defer[GEA ~func() ET.Either[E, A], E, A any](gen func() GEA) GEA {
 	return IO.Defer[GEA](gen)
 }
+
+func MonadAlt[LAZY ~func() GIOA, GIOA ~func() ET.Either[E, A], E, A any](first GIOA, second LAZY) GIOA {
+	return eithert.MonadAlt(
+		IO.Of[GIOA],
+		IO.MonadChain[GIOA, GIOA],
+
+		first,
+		second,
+	)
+}
+
+func Alt[LAZY ~func() GIOA, GIOA ~func() ET.Either[E, A], E, A any](second LAZY) func(GIOA) GIOA {
+	return F.Bind2nd(MonadAlt[LAZY], second)
+}

ioeither/generic/monoid.go

@@ -0,0 +1,54 @@
+//   Copyright (c) 2023 IBM Corp.
+//   All rights reserved.
+//
+//   Licensed under the Apache License, Version 2.0 (the "License");
+//   you may not use this file except in compliance with the License.
+//   You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+//   Unless required by applicable law or agreed to in writing, software
+//   distributed under the License is distributed on an "AS IS" BASIS,
+//   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//   See the License for the specific language governing permissions and
+//   limitations under the License.
+
+package generic
+
+import (
+	ET "github.com/IBM/fp-go/either"
+	M "github.com/IBM/fp-go/monoid"
+)
+
+func ApplicativeMonoid[GEA ~func() ET.Either[E, A], GEFA ~func() ET.Either[E, func(A) A], E, A any](
+	m M.Monoid[A],
+) M.Monoid[GEA] {
+	return M.ApplicativeMonoid(
+		MonadOf[GEA],
+		MonadMap[GEA, GEFA],
+		MonadAp[GEA, GEFA, GEA],
+		m,
+	)
+}
+
+func ApplicativeMonoidSeq[GEA ~func() ET.Either[E, A], GEFA ~func() ET.Either[E, func(A) A], E, A any](
+	m M.Monoid[A],
+) M.Monoid[GEA] {
+	return M.ApplicativeMonoid(
+		MonadOf[GEA],
+		MonadMap[GEA, GEFA],
+		MonadApSeq[GEA, GEFA, GEA],
+		m,
+	)
+}
+
+func ApplicativeMonoidPar[GEA ~func() ET.Either[E, A], GEFA ~func() ET.Either[E, func(A) A], E, A any](
+	m M.Monoid[A],
+) M.Monoid[GEA] {
+	return M.ApplicativeMonoid(
+		MonadOf[GEA],
+		MonadMap[GEA, GEFA],
+		MonadApPar[GEA, GEFA, GEA],
+		m,
+	)
+}

ioeither/generic/semigroup.go

@@ -0,0 +1,27 @@
+//   Copyright (c) 2023 IBM Corp.
+//   All rights reserved.
+//
+//   Licensed under the Apache License, Version 2.0 (the "License");
+//   you may not use this file except in compliance with the License.
+//   You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+//   Unless required by applicable law or agreed to in writing, software
+//   distributed under the License is distributed on an "AS IS" BASIS,
+//   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//   See the License for the specific language governing permissions and
+//   limitations under the License.
+
+package generic
+
+import (
+	ET "github.com/IBM/fp-go/either"
+	S "github.com/IBM/fp-go/semigroup"
+)
+
+func AltSemigroup[GIOA ~func() ET.Either[E, A], E, A any]() S.Semigroup[GIOA] {
+	return S.AltSemigroup(
+		MonadAlt[func() GIOA],
+	)
+}

ioeither/generic/traverse.go

@@ -45,6 +45,29 @@ func TraverseArray[GB ~func() ET.Either[E, B], GBS ~func() ET.Either[E, BBS], AA
 	)
 }
 
+// MonadTraverseArrayWithIndex transforms an array
+func MonadTraverseArrayWithIndex[GB ~func() ET.Either[E, B], GBS ~func() ET.Either[E, BBS], AAS ~[]A, BBS ~[]B, E, A, B any](tas AAS, f func(int, A) GB) GBS {
+	return RA.MonadTraverseWithIndex[AAS](
+		Of[GBS, E, BBS],
+		Map[GBS, func() ET.Either[E, func(B) BBS], E, BBS, func(B) BBS],
+		Ap[GBS, func() ET.Either[E, func(B) BBS], GB],
+
+		tas,
+		f,
+	)
+}
+
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[GB ~func() ET.Either[E, B], GBS ~func() ET.Either[E, BBS], AAS ~[]A, BBS ~[]B, E, A, B any](f func(int, A) GB) func(AAS) GBS {
+	return RA.TraverseWithIndex[AAS](
+		Of[GBS, E, BBS],
+		Map[GBS, func() ET.Either[E, func(B) BBS], E, BBS, func(B) BBS],
+		Ap[GBS, func() ET.Either[E, func(B) BBS], GB],
+
+		f,
+	)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[GA ~func() ET.Either[E, A], GAS ~func() ET.Either[E, AAS], AAS ~[]A, GAAS ~[]GA, E, A any](tas GAAS) GAS {
 	return MonadTraverseArray[GA, GAS](tas, F.Identity[GA])
@@ -73,6 +96,17 @@ func TraverseRecord[GB ~func() ET.Either[E, B], GBS ~func() ET.Either[E, BBS], A
 	)
 }
 
+// TraverseRecordWithIndex transforms an array
+func TraverseRecordWithIndex[GB ~func() ET.Either[E, B], GBS ~func() ET.Either[E, BBS], AAS ~map[K]A, BBS ~map[K]B, K comparable, E, A, B any](f func(K, A) GB) func(AAS) GBS {
+	return RR.TraverseWithIndex[AAS](
+		Of[GBS, E, BBS],
+		Map[GBS, func() ET.Either[E, func(B) BBS], E, BBS, func(B) BBS],
+		Ap[GBS, func() ET.Either[E, func(B) BBS], GB],
+
+		f,
+	)
+}
+
 // SequenceRecord converts a homogeneous sequence of either into an either of sequence
 func SequenceRecord[GA ~func() ET.Either[E, A], GAS ~func() ET.Either[E, AAS], AAS ~map[K]A, GAAS ~map[K]GA, K comparable, E, A any](tas GAAS) GAS {
 	return MonadTraverseRecord[GA, GAS](tas, F.Identity[GA])

ioeither/ioeither.go

@@ -19,6 +19,7 @@ import (
 	ET "github.com/IBM/fp-go/either"
 	I "github.com/IBM/fp-go/io"
 	G "github.com/IBM/fp-go/ioeither/generic"
+	L "github.com/IBM/fp-go/lazy"
 	O "github.com/IBM/fp-go/option"
 )
 
@@ -186,7 +187,7 @@ func MonadChainFirstIOK[E, A, B any](ma IOEither[E, A], f func(A) I.IO[B]) IOEit
 	return G.MonadChainFirstIOK(ma, f)
 }
 
-// ChainFirsIOKt runs the monad returned by the function but returns the result of the original monad
+// ChainFirsIOK runs the monad returned by the function but returns the result of the original monad
 func ChainFirstIOK[E, A, B any](f func(A) I.IO[B]) func(IOEither[E, A]) IOEither[E, A] {
 	return G.ChainFirstIOK[IOEither[E, A]](f)
 }
@@ -207,6 +208,16 @@ func FromImpure[E any](f func()) IOEither[E, any] {
 }
 
 // Defer creates an IO by creating a brand new IO via a generator function, each time
-func Defer[E, A any](gen func() IOEither[E, A]) IOEither[E, A] {
+func Defer[E, A any](gen L.Lazy[IOEither[E, A]]) IOEither[E, A] {
 	return G.Defer[IOEither[E, A]](gen)
 }
+
+// MonadAlt identifies an associative operation on a type constructor
+func MonadAlt[E, A any](first IOEither[E, A], second L.Lazy[IOEither[E, A]]) IOEither[E, A] {
+	return G.MonadAlt(first, second)
+}
+
+// Alt identifies an associative operation on a type constructor
+func Alt[E, A any](second L.Lazy[IOEither[E, A]]) func(IOEither[E, A]) IOEither[E, A] {
+	return G.Alt(second)
+}

ioeither/monoid.go

@@ -0,0 +1,42 @@
+//   Copyright (c) 2023 IBM Corp.
+//   All rights reserved.
+//
+//   Licensed under the Apache License, Version 2.0 (the "License");
+//   you may not use this file except in compliance with the License.
+//   You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+//   Unless required by applicable law or agreed to in writing, software
+//   distributed under the License is distributed on an "AS IS" BASIS,
+//   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//   See the License for the specific language governing permissions and
+//   limitations under the License.
+
+package ioeither
+
+import (
+	G "github.com/IBM/fp-go/ioeither/generic"
+	M "github.com/IBM/fp-go/monoid"
+)
+
+// ApplicativeMonoid returns a [Monoid] that concatenates [IOEither] instances via their applicative
+func ApplicativeMonoid[E, A any](
+	m M.Monoid[A],
+) M.Monoid[IOEither[E, A]] {
+	return G.ApplicativeMonoid[IOEither[E, A], IOEither[E, func(A) A]](m)
+}
+
+// ApplicativeMonoid returns a [Monoid] that concatenates [IOEither] instances via their applicative
+func ApplicativeMonoidSeq[E, A any](
+	m M.Monoid[A],
+) M.Monoid[IOEither[E, A]] {
+	return G.ApplicativeMonoidSeq[IOEither[E, A], IOEither[E, func(A) A]](m)
+}
+
+// ApplicativeMonoid returns a [Monoid] that concatenates [IOEither] instances via their applicative
+func ApplicativeMonoidPar[E, A any](
+	m M.Monoid[A],
+) M.Monoid[IOEither[E, A]] {
+	return G.ApplicativeMonoid[IOEither[E, A], IOEither[E, func(A) A]](m)
+}

ioeither/monoid_test.go

@@ -0,0 +1,42 @@
+//   Copyright (c) 2023 IBM Corp.
+//   All rights reserved.
+//
+//   Licensed under the Apache License, Version 2.0 (the "License");
+//   you may not use this file except in compliance with the License.
+//   You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+//   Unless required by applicable law or agreed to in writing, software
+//   distributed under the License is distributed on an "AS IS" BASIS,
+//   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//   See the License for the specific language governing permissions and
+//   limitations under the License.
+
+package ioeither
+
+import (
+	"fmt"
+	"testing"
+
+	E "github.com/IBM/fp-go/either"
+	S "github.com/IBM/fp-go/string"
+	"github.com/stretchr/testify/assert"
+)
+
+func TestApplicativeMonoid(t *testing.T) {
+	m := ApplicativeMonoid[error](S.Monoid)
+
+	// good cases
+	assert.Equal(t, E.Of[error]("ab"), m.Concat(Of[error]("a"), Of[error]("b"))())
+	assert.Equal(t, E.Of[error]("a"), m.Concat(Of[error]("a"), m.Empty())())
+	assert.Equal(t, E.Of[error]("b"), m.Concat(m.Empty(), Of[error]("b"))())
+
+	// bad cases
+	e1 := fmt.Errorf("e1")
+	e2 := fmt.Errorf("e1")
+
+	assert.Equal(t, E.Left[string](e1), m.Concat(Left[string](e1), Of[error]("b"))())
+	assert.Equal(t, E.Left[string](e1), m.Concat(Left[string](e1), Left[string](e2))())
+	assert.Equal(t, E.Left[string](e2), m.Concat(Of[error]("a"), Left[string](e2))())
+}

ioeither/semigroup.go

@@ -0,0 +1,26 @@
+// Copyright (c) 2023 IBM Corp.
+// All rights reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+package ioeither
+
+import (
+	G "github.com/IBM/fp-go/ioeither/generic"
+	S "github.com/IBM/fp-go/semigroup"
+)
+
+// AltSemigroup is a [Semigroup] that tries the first item and then the second one using an alternative
+func AltSemigroup[E, A any]() S.Semigroup[IOEither[E, A]] {
+	return G.AltSemigroup[IOEither[E, A]]()
+}

ioeither/traverse.go

@@ -24,6 +24,11 @@ func TraverseArray[E, A, B any](f func(A) IOEither[E, B]) func([]A) IOEither[E,
 	return G.TraverseArray[IOEither[E, B], IOEither[E, []B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[E, A, B any](f func(int, A) IOEither[E, B]) func([]A) IOEither[E, []B] {
+	return G.TraverseArrayWithIndex[IOEither[E, B], IOEither[E, []B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[E, A any](ma []IOEither[E, A]) IOEither[E, []A] {
 	return G.SequenceArray[IOEither[E, A], IOEither[E, []A]](ma)
@@ -34,6 +39,11 @@ func TraverseRecord[K comparable, E, A, B any](f func(A) IOEither[E, B]) func(ma
 	return G.TraverseRecord[IOEither[E, B], IOEither[E, map[K]B], map[K]A](f)
 }
 
+// TraverseRecordWithIndex transforms a record
+func TraverseRecordWithIndex[K comparable, E, A, B any](f func(K, A) IOEither[E, B]) func(map[K]A) IOEither[E, map[K]B] {
+	return G.TraverseRecordWithIndex[IOEither[E, B], IOEither[E, map[K]B], map[K]A](f)
+}
+
 // SequenceRecord converts a homogeneous sequence of either into an either of sequence
 func SequenceRecord[K comparable, E, A any](ma map[K]IOEither[E, A]) IOEither[E, map[K]A] {
 	return G.SequenceRecord[IOEither[E, A], IOEither[E, map[K]A]](ma)

ioeither/traverse_test.go

@@ -0,0 +1,37 @@
+// Copyright (c) 2023 IBM Corp.
+// All rights reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+package ioeither
+
+import (
+	"fmt"
+	"testing"
+
+	A "github.com/IBM/fp-go/array"
+	E "github.com/IBM/fp-go/either"
+	"github.com/stretchr/testify/assert"
+)
+
+func TestTraverseArray(t *testing.T) {
+
+	src := A.From("A", "B")
+
+	trfrm := TraverseArrayWithIndex(func(idx int, data string) IOEither[error, string] {
+		return Of[error](fmt.Sprintf("idx: %d, data: %s", idx, data))
+	})
+
+	assert.Equal(t, E.Of[error](A.From("idx: 0, data: A", "idx: 1, data: B")), trfrm(src)())
+
+}

iooption/array.go

@@ -24,6 +24,11 @@ func TraverseArray[A, B any](f func(A) IOOption[B]) func([]A) IOOption[[]B] {
 	return G.TraverseArray[IOOption[B], IOOption[[]B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[A, B any](f func(int, A) IOOption[B]) func([]A) IOOption[[]B] {
+	return G.TraverseArrayWithIndex[IOOption[B], IOOption[[]B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[A any](ma []IOOption[A]) IOOption[[]A] {
 	return G.SequenceArray[IOOption[A], IOOption[[]A], []IOOption[A], []A, A](ma)

iooption/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:14.0582736 +0200 CEST m=+0.248503201
+// 2023-09-12 13:44:32.1514823 +0200 CEST m=+0.098931001
 
 package iooption
 

iooption/generic/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:14.0642289 +0200 CEST m=+0.254458501
+// 2023-09-12 13:44:32.1546277 +0200 CEST m=+0.102076401
 package generic
 
 import (

iooption/generic/traverse.go

@@ -28,6 +28,13 @@ func TraverseArray[TB ~func() O.Option[B], TBS ~func() O.Option[GB], GA ~[]A, GB
 	)
 }
 
+func TraverseArrayWithIndex[TB ~func() O.Option[B], TBS ~func() O.Option[GB], GA ~[]A, GB ~[]B, A, B any](f func(int, A) TB) func(GA) TBS {
+	return F.Flow2(
+		I.TraverseArrayWithIndex[TB, func() []O.Option[B], GA](f),
+		I.Map[func() []O.Option[B], TBS](O.SequenceArrayG[GB, []O.Option[B], B]),
+	)
+}
+
 func SequenceArray[TB ~func() O.Option[B], TBS ~func() O.Option[GB], GA ~[]TB, GB ~[]B, A, B any](ma GA) TBS {
 	return TraverseArray[TB, TBS, GA](F.Identity[TB])(ma)
 }

iterator/stateless/benchmark_test.go

@@ -0,0 +1,65 @@
+// Copyright (c) 2023 IBM Corp.
+// All rights reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+package stateless
+
+import (
+	"testing"
+
+	F "github.com/IBM/fp-go/function"
+)
+
+func BenchmarkMulti(b *testing.B) {
+	// run the Fib function b.N times
+	for n := 0; n < b.N; n++ {
+		single()
+	}
+}
+
+func single() int64 {
+
+	length := 10000
+	nums := make([]int, 0, length)
+	for i := 0; i < length; i++ {
+		nums = append(nums, i+1)
+	}
+
+	return F.Pipe6(
+		nums,
+		FromArray[int],
+		Filter(func(n int) bool {
+			return n%2 == 0
+		}),
+		Map(func(t int) int64 {
+			return int64(t)
+		}),
+		Filter(func(t int64) bool {
+			n := t
+			for n/10 != 0 {
+				if n%10 == 4 {
+					return false
+				}
+				n = n / 10
+			}
+			return true
+		}),
+		Map(func(t int64) int {
+			return int(t)
+		}),
+		Reduce(func(n int64, r int) int64 {
+			return n + int64(r)
+		}, int64(0)),
+	)
+}

iterator/stateless/generic/iterator.go

@@ -82,6 +82,7 @@ func Map[GV ~func() O.Option[T.Tuple2[GV, V]], GU ~func() O.Option[T.Tuple2[GU,
 			m,
 		)
 	}
+
 	m = O.Map(T.Map2(recurse, f))
 
 	return recurse

lazy/traverse.go

@@ -29,6 +29,12 @@ func TraverseArray[A, B any](f func(A) Lazy[B]) func([]A) Lazy[[]B] {
 	return G.TraverseArray[Lazy[B], Lazy[[]B], []A](f)
 }
 
+// TraverseArrayWithIndex applies a function returning an [IO] to all elements in an array and the
+// transforms this into an [IO] of that array
+func TraverseArrayWithIndex[A, B any](f func(int, A) Lazy[B]) func([]A) Lazy[[]B] {
+	return G.TraverseArrayWithIndex[Lazy[B], Lazy[[]B], []A](f)
+}
+
 // SequenceArray converts an array of [IO] to an [IO] of an array
 func SequenceArray[A any](tas []Lazy[A]) Lazy[[]A] {
 	return G.SequenceArray[Lazy[A], Lazy[[]A]](tas)
@@ -38,12 +44,18 @@ func MonadTraverseRecord[K comparable, A, B any](tas map[K]A, f func(A) Lazy[B])
 	return G.MonadTraverseRecord[Lazy[B], Lazy[map[K]B]](tas, f)
 }
 
-// TraverseArray applies a function returning an [IO] to all elements in a record and the
+// TraverseRecord applies a function returning an [IO] to all elements in a record and the
 // transforms this into an [IO] of that record
 func TraverseRecord[K comparable, A, B any](f func(A) Lazy[B]) func(map[K]A) Lazy[map[K]B] {
 	return G.TraverseRecord[Lazy[B], Lazy[map[K]B], map[K]A](f)
 }
 
+// TraverseRecord applies a function returning an [IO] to all elements in a record and the
+// transforms this into an [IO] of that record
+func TraverseRecordWithIndex[K comparable, A, B any](f func(K, A) Lazy[B]) func(map[K]A) Lazy[map[K]B] {
+	return G.TraverseRecordWithIndex[Lazy[B], Lazy[map[K]B], map[K]A](f)
+}
+
 // SequenceRecord converts a record of [IO] to an [IO] of a record
 func SequenceRecord[K comparable, A any](tas map[K]Lazy[A]) Lazy[map[K]A] {
 	return G.SequenceRecord[Lazy[A], Lazy[map[K]A]](tas)

monoid/alt.go

@@ -0,0 +1,58 @@
+// Copyright (c) 2023 IBM Corp.
+// All rights reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+package monoid
+
+import (
+	S "github.com/IBM/fp-go/semigroup"
+)
+
+func AlternativeMonoid[A, HKTA, HKTFA any](
+	fof func(A) HKTA,
+
+	fmap func(HKTA, func(A) func(A) A) HKTFA,
+	fap func(HKTFA, HKTA) HKTA,
+
+	falt func(HKTA, func() HKTA) HKTA,
+
+	m Monoid[A],
+
+) Monoid[HKTA] {
+
+	sg := ApplicativeMonoid(fof, fmap, fap, m)
+
+	return MakeMonoid(
+		func(first, second HKTA) HKTA {
+			snd := func() HKTA { return second }
+
+			return falt(sg.Concat(first, second), func() HKTA {
+				return falt(first, snd)
+			})
+		},
+		sg.Empty(),
+	)
+}
+
+func AltMonoid[HKTA any](
+	fzero func() HKTA,
+	falt func(HKTA, func() HKTA) HKTA,
+
+) Monoid[HKTA] {
+
+	return MakeMonoid(
+		S.AltSemigroup(falt).Concat,
+		fzero(),
+	)
+}

monoid/apply.go

@@ -20,15 +20,15 @@ import (
 )
 
 func ApplicativeMonoid[A, HKTA, HKTFA any](
-	_of func(A) HKTA,
-	_map func(HKTA, func(A) func(A) A) HKTFA,
-	_ap func(HKTFA, HKTA) HKTA,
+	fof func(A) HKTA,
+	fmap func(HKTA, func(A) func(A) A) HKTFA,
+	fap func(HKTFA, HKTA) HKTA,
 
 	m Monoid[A],
 ) Monoid[HKTA] {
 
 	return MakeMonoid(
-		S.ApplySemigroup[A](_map, _ap, m).Concat,
-		_of(m.Empty()),
+		S.ApplySemigroup[A](fmap, fap, m).Concat,
+		fof(m.Empty()),
 	)
 }

optics/iso/iso.go

@@ -67,7 +67,7 @@ func Modify[S, A any](f func(A) A) func(Iso[S, A]) func(S) S {
 }
 
 // Wrap wraps the value
-func Unwrap[S, A any](s S) func(Iso[S, A]) A {
+func Unwrap[A, S any](s S) func(Iso[S, A]) A {
 	return func(sa Iso[S, A]) A {
 		return sa.Get(s)
 	}
@@ -81,8 +81,8 @@ func Wrap[S, A any](a A) func(Iso[S, A]) S {
 }
 
 // From wraps the value
-func To[S, A any](s S) func(Iso[S, A]) A {
-	return Unwrap[S, A](s)
+func To[A, S any](s S) func(Iso[S, A]) A {
+	return Unwrap[A, S](s)
 }
 
 // To unwraps the value

optics/lens/lens.go

@@ -121,7 +121,7 @@ func Compose[S, A, B any](ab Lens[A, B]) func(Lens[S, A]) Lens[S, B] {
 // the getter returns an `Option[B]` because the container `A` could already be an option
 // if the setter is invoked with `Some[B]` then the value of `B` will be set, potentially on a default value of `A` if `A` did not exist
 // if the setter is invoked with `None[B]` then the container `A` is reset to `None[A]` because this is the only way to remove `B`
-func ComposeOption[S, A, B any](defaultA A) func(ab Lens[A, B]) func(Lens[S, O.Option[A]]) Lens[S, O.Option[B]] {
+func ComposeOption[S, B, A any](defaultA A) func(ab Lens[A, B]) func(Lens[S, O.Option[A]]) Lens[S, O.Option[B]] {
 	defa := F.Constant(defaultA)
 	return func(ab Lens[A, B]) func(Lens[S, O.Option[A]]) Lens[S, O.Option[B]] {
 		foldab := O.Fold(O.None[B], F.Flow2(ab.Get, O.Some[B]))
@@ -172,7 +172,7 @@ func ComposeOption[S, A, B any](defaultA A) func(ab Lens[A, B]) func(Lens[S, O.O
 // if the setter is called with `Some[B]` and `A` does not exist, the default of 'A' is updated with `B`
 // if the setter is called with `None[B]` and `A` does not exist this is the identity operation on 'S'
 // if the setter is called with `None[B]` and `A` does exist, 'B' is removed from 'A'
-func ComposeOptions[S, A, B any](defaultA A) func(ab Lens[A, O.Option[B]]) func(Lens[S, O.Option[A]]) Lens[S, O.Option[B]] {
+func ComposeOptions[S, B, A any](defaultA A) func(ab Lens[A, O.Option[B]]) func(Lens[S, O.Option[A]]) Lens[S, O.Option[B]] {
 	defa := F.Constant(defaultA)
 	noops := F.Constant(F.Identity[S])
 	noneb := O.None[B]()

optics/lens/lens_test.go

@@ -209,7 +209,7 @@ func TestComposeOption(t *testing.T) {
 	// compose lenses
 	lens := F.Pipe1(
 		inner,
-		ComposeOption[Outer, *Inner, int](defaultInner)(value),
+		ComposeOption[Outer, int](defaultInner)(value),
 	)
 	outer1 := Outer{inner: &Inner{Value: 1, Foo: "a"}}
 	// the checks
@@ -235,7 +235,7 @@ func TestComposeOptions(t *testing.T) {
 	// compose lenses
 	lens := F.Pipe1(
 		inner,
-		ComposeOptions[OuterOpt, *InnerOpt, *int](defaultInner)(value),
+		ComposeOptions[OuterOpt, *int](defaultInner)(value),
 	)
 	// additional settings
 	defaultValue2 := 2

optics/lens/record/generic/record.go

@@ -24,7 +24,7 @@ import (
 )
 
 // AtRecord returns a lens that focusses on a value in a record
-func AtRecord[M ~map[K]V, K comparable, V any](key K) L.Lens[M, O.Option[V]] {
+func AtRecord[M ~map[K]V, V any, K comparable](key K) L.Lens[M, O.Option[V]] {
 	addKey := F.Bind1of2(RR.UpsertAt[M, K, V])(key)
 	delKey := F.Bind1of1(RR.DeleteAt[M, K, V])(key)
 	fold := O.Fold(
@@ -44,6 +44,6 @@ func AtRecord[M ~map[K]V, K comparable, V any](key K) L.Lens[M, O.Option[V]] {
 }
 
 // AtKey returns a `Lens` focused on a required key of a `ReadonlyRecord`
-func AtKey[M ~map[K]V, S any, K comparable, V any](key K) func(sa L.Lens[S, M]) L.Lens[S, O.Option[V]] {
+func AtKey[M ~map[K]V, S any, V any, K comparable](key K) func(sa L.Lens[S, M]) L.Lens[S, O.Option[V]] {
 	return L.Compose[S](AtRecord[M](key))
 }

optics/lens/record/record.go

@@ -22,11 +22,11 @@ import (
 )
 
 // AtRecord returns a lens that focusses on a value in a record
-func AtRecord[K comparable, V any](key K) L.Lens[map[K]V, O.Option[V]] {
+func AtRecord[V any, K comparable](key K) L.Lens[map[K]V, O.Option[V]] {
 	return G.AtRecord[map[K]V](key)
 }
 
 // AtKey returns a `Lens` focused on a required key of a `ReadonlyRecord`
-func AtKey[S any, K comparable, V any](key K) func(sa L.Lens[S, map[K]V]) L.Lens[S, O.Option[V]] {
+func AtKey[S any, V any, K comparable](key K) func(sa L.Lens[S, map[K]V]) L.Lens[S, O.Option[V]] {
 	return G.AtKey[map[K]V, S](key)
 }

optics/lens/record/record_test.go

@@ -31,7 +31,7 @@ type (
 func TestAtKey(t *testing.T) {
 	sa := F.Pipe1(
 		L.Id[S](),
-		AtKey[S, string, int]("a"),
+		AtKey[S, int]("a"),
 	)
 
 	assert.Equal(t, O.Some(1), sa.Get(S{"a": 1}))

optics/lens/testing/laws_test.go

@@ -198,7 +198,7 @@ func TestOuterLensLaws(t *testing.T) {
 	eqValue := EQT.Eq[int]()
 	eqOptValue := O.Eq(eqValue)
 	// lens to access a value from outer
-	valueFromOuter := L.ComposeOption[*Outer, *Inner, int](&defaultInner)(valueLens)(outerLens)
+	valueFromOuter := L.ComposeOption[*Outer, int](&defaultInner)(valueLens)(outerLens)
 	// try to access the value, this should get an option
 	assert.True(t, eqOptValue.Equals(valueFromOuter.Get(&emptyOuter), O.None[int]()))
 	// update the object
@@ -234,7 +234,7 @@ func TestOuterOptLensLaws(t *testing.T) {
 	valueFromOuter := F.Pipe3(
 		valueOptLens,
 		LI.Compose[*InnerOpt](intIso),
-		L.ComposeOptions[*OuterOpt, *InnerOpt, int](&defaultInnerOpt),
+		L.ComposeOptions[*OuterOpt, int](&defaultInnerOpt),
 		I.Ap[L.Lens[*OuterOpt, O.Option[int]]](outerOptLens),
 	)
 

option/apply.go

@@ -24,6 +24,7 @@ func ApplySemigroup[A any](s S.Semigroup[A]) S.Semigroup[Option[A]] {
 	return S.ApplySemigroup(MonadMap[A, func(A) A], MonadAp[A, A], s)
 }
 
+// ApplicativeMonoid returns a [Monoid] that concatenates [Option] instances via their applicative
 func ApplicativeMonoid[A any](m M.Monoid[A]) M.Monoid[Option[A]] {
 	return M.ApplicativeMonoid(Of[A], MonadMap[A, func(A) A], MonadAp[A, A], m)
 }

option/array.go

@@ -36,6 +36,22 @@ func TraverseArray[A, B any](f func(A) Option[B]) func([]A) Option[[]B] {
 	return TraverseArrayG[[]A, []B](f)
 }
 
+// TraverseArrayWithIndexG transforms an array
+func TraverseArrayWithIndexG[GA ~[]A, GB ~[]B, A, B any](f func(int, A) Option[B]) func(GA) Option[GB] {
+	return RA.TraverseWithIndex[GA](
+		Of[GB],
+		Map[GB, func(B) GB],
+		Ap[GB, B],
+
+		f,
+	)
+}
+
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[A, B any](f func(int, A) Option[B]) func([]A) Option[[]B] {
+	return TraverseArrayWithIndexG[[]A, []B](f)
+}
+
 func SequenceArrayG[GA ~[]A, GOA ~[]Option[A], A any](ma GOA) Option[GA] {
 	return TraverseArrayG[GOA, GA](F.Identity[Option[A]])(ma)
 }

option/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:16.3450991 +0200 CEST m=+0.104894201
+// 2023-09-12 13:44:34.2077257 +0200 CEST m=+0.023541001
 
 package option
 

option/record.go

@@ -20,7 +20,7 @@ import (
 	RR "github.com/IBM/fp-go/internal/record"
 )
 
-// TraverseRecord transforms a record of options into an option of a record
+// TraverseRecordG transforms a record of options into an option of a record
 func TraverseRecordG[GA ~map[K]A, GB ~map[K]B, K comparable, A, B any](f func(A) Option[B]) func(GA) Option[GB] {
 	return RR.Traverse[GA](
 		Of[GB],
@@ -36,6 +36,22 @@ func TraverseRecord[K comparable, A, B any](f func(A) Option[B]) func(map[K]A) O
 	return TraverseRecordG[map[K]A, map[K]B](f)
 }
 
+// TraverseRecordWithIndexG transforms a record of options into an option of a record
+func TraverseRecordWithIndexG[GA ~map[K]A, GB ~map[K]B, K comparable, A, B any](f func(K, A) Option[B]) func(GA) Option[GB] {
+	return RR.TraverseWithIndex[GA](
+		Of[GB],
+		Map[GB, func(B) GB],
+		Ap[GB, B],
+
+		f,
+	)
+}
+
+// TraverseRecordWithIndex transforms a record of options into an option of a record
+func TraverseRecordWithIndex[K comparable, A, B any](f func(K, A) Option[B]) func(map[K]A) Option[map[K]B] {
+	return TraverseRecordWithIndexG[map[K]A, map[K]B](f)
+}
+
 func SequenceRecordG[GA ~map[K]A, GOA ~map[K]Option[A], K comparable, A any](ma GOA) Option[GA] {
 	return TraverseRecordG[GOA, GA](F.Identity[Option[A]])(ma)
 }

reader/array.go

@@ -24,6 +24,11 @@ func TraverseArray[R, A, B any](f func(A) Reader[R, B]) func([]A) Reader[R, []B]
 	return G.TraverseArray[Reader[R, B], Reader[R, []B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[R, A, B any](f func(int, A) Reader[R, B]) func([]A) Reader[R, []B] {
+	return G.TraverseArrayWithIndex[Reader[R, B], Reader[R, []B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[R, A any](ma []Reader[R, A]) Reader[R, []A] {
 	return G.SequenceArray[Reader[R, A], Reader[R, []A]](ma)

reader/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:18.4448291 +0200 CEST m=+0.161369001
+// 2023-09-12 13:44:36.1655251 +0200 CEST m=+0.010000501
 
 package reader
 

reader/generic/array.go

@@ -40,6 +40,16 @@ func TraverseArray[GB ~func(R) B, GBS ~func(R) BBS, AAS ~[]A, BBS ~[]B, R, A, B
 	)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[GB ~func(R) B, GBS ~func(R) BBS, AAS ~[]A, BBS ~[]B, R, A, B any](f func(int, A) GB) func(AAS) GBS {
+	return RA.TraverseWithIndex[AAS](
+		Of[GBS, R, BBS],
+		Map[GBS, func(R) func(B) BBS, R, BBS, func(B) BBS],
+		Ap[GB, GBS, func(R) func(B) BBS, R, B, BBS],
+		f,
+	)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[GA ~func(R) A, GAS ~func(R) AAS, AAS ~[]A, GAAS ~[]GA, R, A any](ma GAAS) GAS {
 	return MonadTraverseArray[GA, GAS](ma, F.Identity[GA])

reader/generic/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:18.5047315 +0200 CEST m=+0.221271401
+// 2023-09-12 13:44:36.166526 +0200 CEST m=+0.011001401
 package generic
 
 // From0 converts a function with 1 parameters returning a [R] into a function with 0 parameters returning a [GRA]

readereither/array.go

@@ -24,6 +24,11 @@ func TraverseArray[E, L, A, B any](f func(A) ReaderEither[E, L, B]) func([]A) Re
 	return G.TraverseArray[ReaderEither[E, L, B], ReaderEither[E, L, []B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[E, L, A, B any](f func(int, A) ReaderEither[E, L, B]) func([]A) ReaderEither[E, L, []B] {
+	return G.TraverseArrayWithIndex[ReaderEither[E, L, B], ReaderEither[E, L, []B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[E, L, A any](ma []ReaderEither[E, L, A]) ReaderEither[E, L, []A] {
 	return G.SequenceArray[ReaderEither[E, L, A], ReaderEither[E, L, []A]](ma)

readereither/generic/array.go

@@ -43,6 +43,17 @@ func TraverseArray[GB ~func(E) ET.Either[L, B], GBS ~func(E) ET.Either[L, BBS],
 	)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[GB ~func(E) ET.Either[L, B], GBS ~func(E) ET.Either[L, BBS], AAS ~[]A, BBS ~[]B, L, E, A, B any](f func(int, A) GB) func(AAS) GBS {
+	return RA.TraverseWithIndex[AAS](
+		Of[GBS, L, E, BBS],
+		Map[GBS, func(E) ET.Either[L, func(B) BBS], L, E, BBS, func(B) BBS],
+		Ap[GB, GBS, func(E) ET.Either[L, func(B) BBS], L, E, B, BBS],
+
+		f,
+	)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[GA ~func(E) ET.Either[L, A], GAS ~func(E) ET.Either[L, AAS], AAS ~[]A, GAAS ~[]GA, L, E, A any](ma GAAS) GAS {
 	return MonadTraverseArray[GA, GAS](ma, F.Identity[GA])

readerio/array.go

@@ -25,6 +25,11 @@ func TraverseArray[R, A, B any](f func(A) ReaderIO[R, B]) func([]A) ReaderIO[R,
 	return G.TraverseArray[ReaderIO[R, B], ReaderIO[R, []B], IO.IO[B], IO.IO[[]B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[R, A, B any](f func(int, A) ReaderIO[R, B]) func([]A) ReaderIO[R, []B] {
+	return G.TraverseArrayWithIndex[ReaderIO[R, B], ReaderIO[R, []B], IO.IO[B], IO.IO[[]B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of Readers into a Reader of sequence
 func SequenceArray[R, A any](ma []ReaderIO[R, A]) ReaderIO[R, []A] {
 	return G.SequenceArray[ReaderIO[R, A], ReaderIO[R, []A]](ma)

readerio/generic/array.go

@@ -42,6 +42,17 @@ func TraverseArray[GB ~func(E) GIOB, GBS ~func(E) GIOBS, GIOB ~func() B, GIOBS ~
 	)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[GB ~func(E) GIOB, GBS ~func(E) GIOBS, GIOB ~func() B, GIOBS ~func() BBS, AAS ~[]A, BBS ~[]B, E, A, B any](f func(int, A) GB) func(AAS) GBS {
+	return RA.TraverseWithIndex[AAS](
+		Of[GBS, GIOBS, E, BBS],
+		Map[GBS, func(E) func() func(B) BBS, GIOBS, func() func(B) BBS, E, BBS, func(B) BBS],
+		Ap[GB, GBS, func(E) func() func(B) BBS, GIOB, GIOBS, func() func(B) BBS, E, B, BBS],
+
+		f,
+	)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[GA ~func(E) GIOA, GAS ~func(E) GIOAS, GIOA ~func() A, GIOAS ~func() AAS, AAS ~[]A, GAAS ~[]GA, E, A any](ma GAAS) GAS {
 	return MonadTraverseArray[GA, GAS](ma, F.Identity[GA])

readerioeither/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:21.3704716 +0200 CEST m=+0.110126101
+// 2023-09-12 13:44:37.5566477 +0200 CEST m=+0.009011201
 
 package readerioeither
 

readerioeither/generic/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:21.3811525 +0200 CEST m=+0.120807001
+// 2023-09-12 13:44:37.5566477 +0200 CEST m=+0.009011201
 package generic
 
 import (

readerioeither/generic/reader.go

@@ -35,6 +35,20 @@ func MakeReader[GEA ~func(R) GIOA, GIOA ~func() ET.Either[E, A], R, E, A any](f
 	return f
 }
 
+func MonadAlt[LAZY ~func() GEA, GEA ~func(R) GIOA, GIOA ~func() ET.Either[E, A], R, E, A any](first GEA, second LAZY) GEA {
+	return eithert.MonadAlt(
+		G.Of[GEA],
+		G.MonadChain[GEA, GEA],
+
+		first,
+		second,
+	)
+}
+
+func Alt[LAZY ~func() GEA, GEA ~func(R) GIOA, GIOA ~func() ET.Either[E, A], R, E, A any](second LAZY) func(GEA) GEA {
+	return F.Bind2nd(MonadAlt[LAZY], second)
+}
+
 func MonadMap[GEA ~func(R) GIOA, GEB ~func(R) GIOB, GIOA ~func() ET.Either[E, A], GIOB ~func() ET.Either[E, B], R, E, A, B any](fa GEA, f func(A) B) GEB {
 	return eithert.MonadMap(G.MonadMap[GEA, GEB, GIOA, GIOB, R, ET.Either[E, A], ET.Either[E, B]], fa, f)
 }

readerioeither/generic/traverse.go

@@ -44,6 +44,17 @@ func TraverseArray[GB ~func(E) GIOB, GBS ~func(E) GIOBS, GIOB ~func() ET.Either[
 	)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[GB ~func(E) GIOB, GBS ~func(E) GIOBS, GIOB ~func() ET.Either[L, B], GIOBS ~func() ET.Either[L, BBS], AAS ~[]A, BBS ~[]B, E, L, A, B any](f func(int, A) GB) func(AAS) GBS {
+	return RA.TraverseWithIndex[AAS](
+		Of[GBS, GIOBS, E, L, BBS],
+		Map[GBS, func(E) func() ET.Either[L, func(B) BBS], GIOBS, func() ET.Either[L, func(B) BBS], E, L, BBS, func(B) BBS],
+		Ap[GB, GBS, func(E) func() ET.Either[L, func(B) BBS], GIOB, GIOBS, func() ET.Either[L, func(B) BBS], E, L, B, BBS],
+
+		f,
+	)
+}
+
 // SequenceArray converts a homogeneous sequence of either into an either of sequence
 func SequenceArray[GA ~func(E) GIOA, GAS ~func(E) GIOAS, GIOA ~func() ET.Either[L, A], GIOAS ~func() ET.Either[L, AAS], AAS ~[]A, GAAS ~[]GA, E, L, A any](ma GAAS) GAS {
 	return MonadTraverseArray[GA, GAS](ma, F.Identity[GA])
@@ -61,7 +72,7 @@ func MonadTraverseRecord[GB ~func(C) GIOB, GBS ~func(C) GIOBS, GIOB ~func() ET.E
 	)
 }
 
-// TraverseRecord transforms an array
+// TraverseRecord transforms a record
 func TraverseRecord[GB ~func(C) GIOB, GBS ~func(C) GIOBS, GIOB ~func() ET.Either[E, B], GIOBS ~func() ET.Either[E, BBS], AAS ~map[K]A, BBS ~map[K]B, K comparable, C, E, A, B any](f func(A) GB) func(AAS) GBS {
 	return RR.Traverse[AAS](
 		Of[GBS, GIOBS, C, E, BBS],
@@ -72,6 +83,17 @@ func TraverseRecord[GB ~func(C) GIOB, GBS ~func(C) GIOBS, GIOB ~func() ET.Either
 	)
 }
 
+// TraverseRecordWithIndex transforms a record
+func TraverseRecordWithIndex[GB ~func(C) GIOB, GBS ~func(C) GIOBS, GIOB ~func() ET.Either[E, B], GIOBS ~func() ET.Either[E, BBS], AAS ~map[K]A, BBS ~map[K]B, K comparable, C, E, A, B any](f func(K, A) GB) func(AAS) GBS {
+	return RR.TraverseWithIndex[AAS](
+		Of[GBS, GIOBS, C, E, BBS],
+		Map[GBS, func(C) func() ET.Either[E, func(B) BBS], GIOBS, func() ET.Either[E, func(B) BBS], C, E, BBS, func(B) BBS],
+		Ap[GB, GBS, func(C) func() ET.Either[E, func(B) BBS], GIOB, GIOBS, func() ET.Either[E, func(B) BBS], C, E, B, BBS],
+
+		f,
+	)
+}
+
 // SequenceRecord converts a homogeneous sequence of either into an either of sequence
 func SequenceRecord[GA ~func(C) GIOA, GAS ~func(C) GIOAS, GIOA ~func() ET.Either[E, A], GIOAS ~func() ET.Either[E, AAS], AAS ~map[K]A, GAAS ~map[K]GA, K comparable, C, E, A any](tas GAAS) GAS {
 	return MonadTraverseRecord[GA, GAS](tas, F.Identity[GA])

readerioeither/reader.go

@@ -19,6 +19,7 @@ import (
 	ET "github.com/IBM/fp-go/either"
 	"github.com/IBM/fp-go/io"
 	IOE "github.com/IBM/fp-go/ioeither"
+	L "github.com/IBM/fp-go/lazy"
 	O "github.com/IBM/fp-go/option"
 	RD "github.com/IBM/fp-go/reader"
 	RE "github.com/IBM/fp-go/readereither"
@@ -245,7 +246,7 @@ func Swap[R, E, A any](val ReaderIOEither[R, E, A]) ReaderIOEither[R, A, E] {
 }
 
 // Defer creates an IO by creating a brand new IO via a generator function, each time
-func Defer[R, E, A any](gen func() ReaderIOEither[R, E, A]) ReaderIOEither[R, E, A] {
+func Defer[R, E, A any](gen L.Lazy[ReaderIOEither[R, E, A]]) ReaderIOEither[R, E, A] {
 	return G.Defer[ReaderIOEither[R, E, A]](gen)
 }
 
@@ -253,3 +254,13 @@ func Defer[R, E, A any](gen func() ReaderIOEither[R, E, A]) ReaderIOEither[R, E,
 func TryCatch[R, E, A any](f func(R) func() (A, error), onThrow func(error) E) ReaderIOEither[R, E, A] {
 	return G.TryCatch[ReaderIOEither[R, E, A]](f, onThrow)
 }
+
+// MonadAlt identifies an associative operation on a type constructor.
+func MonadAlt[R, E, A any](first ReaderIOEither[R, E, A], second L.Lazy[ReaderIOEither[R, E, A]]) ReaderIOEither[R, E, A] {
+	return G.MonadAlt(first, second)
+}
+
+// Alt identifies an associative operation on a type constructor.
+func Alt[R, E, A any](second L.Lazy[ReaderIOEither[R, E, A]]) func(ReaderIOEither[R, E, A]) ReaderIOEither[R, E, A] {
+	return G.Alt(second)
+}

readerioeither/traverse.go

@@ -25,6 +25,11 @@ func TraverseArray[R, E, A, B any](f func(A) ReaderIOEither[R, E, B]) func([]A)
 	return G.TraverseArray[ReaderIOEither[R, E, B], ReaderIOEither[R, E, []B], IOE.IOEither[E, B], IOE.IOEither[E, []B], []A](f)
 }
 
+// TraverseArrayWithIndex transforms an array
+func TraverseArrayWithIndex[R, E, A, B any](f func(int, A) ReaderIOEither[R, E, B]) func([]A) ReaderIOEither[R, E, []B] {
+	return G.TraverseArrayWithIndex[ReaderIOEither[R, E, B], ReaderIOEither[R, E, []B], IOE.IOEither[E, B], IOE.IOEither[E, []B], []A](f)
+}
+
 // SequenceArray converts a homogeneous sequence of Readers into a Reader of a sequence
 func SequenceArray[R, E, A any](ma []ReaderIOEither[R, E, A]) ReaderIOEither[R, E, []A] {
 	return G.SequenceArray[ReaderIOEither[R, E, A], ReaderIOEither[R, E, []A]](ma)
@@ -35,6 +40,11 @@ func TraverseRecord[R any, K comparable, E, A, B any](f func(A) ReaderIOEither[R
 	return G.TraverseRecord[ReaderIOEither[R, E, B], ReaderIOEither[R, E, map[K]B], IOE.IOEither[E, B], IOE.IOEither[E, map[K]B], map[K]A](f)
 }
 
+// TraverseRecordWithIndex transforms an array
+func TraverseRecordWithIndex[R any, K comparable, E, A, B any](f func(K, A) ReaderIOEither[R, E, B]) func(map[K]A) ReaderIOEither[R, E, map[K]B] {
+	return G.TraverseRecordWithIndex[ReaderIOEither[R, E, B], ReaderIOEither[R, E, map[K]B], IOE.IOEither[E, B], IOE.IOEither[E, map[K]B], map[K]A](f)
+}
+
 // SequenceRecord converts a homogeneous sequence of Readers into a Reader of a sequence
 func SequenceRecord[R any, K comparable, E, A any](ma map[K]ReaderIOEither[R, E, A]) ReaderIOEither[R, E, map[K]A] {
 	return G.SequenceRecord[ReaderIOEither[R, E, A], ReaderIOEither[R, E, map[K]A]](ma)

samples/http/http_test.go

@@ -74,9 +74,7 @@ func TestMultipleHttpRequests(t *testing.T) {
 	assert.Equal(t, E.Of[error](count), result())
 }
 
-// TestHeterogeneousHttpRequests shows how to execute multiple HTTP requests in parallel when
-// the response structure of these requests is different. We use [R.TraverseTuple2] to account for the different types
-func TestHeterogeneousHttpRequests(t *testing.T) {
+func heterogeneousHttpRequests() R.ReaderIOEither[T.Tuple2[PostItem, CatFact]] {
 	// prepare the http client
 	client := H.MakeClient(HTTP.DefaultClient)
 	// readSinglePost sends a GET request and parses the response as [PostItem]
@@ -84,7 +82,7 @@ func TestHeterogeneousHttpRequests(t *testing.T) {
 	// readSingleCatFact sends a GET request and parses the response as [CatFact]
 	readSingleCatFact := H.ReadJson[CatFact](client)
 
-	data := F.Pipe3(
+	return F.Pipe3(
 		T.MakeTuple2("https://jsonplaceholder.typicode.com/posts/1", "https://catfact.ninja/fact"),
 		T.Map2(H.MakeGetRequest, H.MakeGetRequest),
 		R.TraverseTuple2(
@@ -94,7 +92,21 @@ func TestHeterogeneousHttpRequests(t *testing.T) {
 		R.ChainFirstIOK(IO.Logf[T.Tuple2[PostItem, CatFact]]("Log Result: %v")),
 	)
 
+}
+
+// TestHeterogeneousHttpRequests shows how to execute multiple HTTP requests in parallel when
+// the response structure of these requests is different. We use [R.TraverseTuple2] to account for the different types
+func TestHeterogeneousHttpRequests(t *testing.T) {
+	data := heterogeneousHttpRequests()
+
 	result := data(context.Background())
 
 	fmt.Println(result())
 }
+
+// BenchmarkHeterogeneousHttpRequests shows how to execute multiple HTTP requests in parallel when
+// the response structure of these requests is different. We use [R.TraverseTuple2] to account for the different types
+func BenchmarkHeterogeneousHttpRequests(b *testing.B) {
+
+	heterogeneousHttpRequests()(context.Background())
+}

semigroup/alt.go

@@ -0,0 +1,28 @@
+// Copyright (c) 2023 IBM Corp.
+// All rights reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+package semigroup
+
+func AltSemigroup[HKTA any](
+	falt func(HKTA, func() HKTA) HKTA,
+
+) Semigroup[HKTA] {
+
+	return MakeSemigroup(
+		func(first, second HKTA) HKTA {
+			return falt(first, func() HKTA { return second })
+		},
+	)
+}

semigroup/apply.go

@@ -25,14 +25,14 @@ HKTA = HKT<A>
 HKTFA = HKT<func(A)A>
 */
 func ApplySemigroup[A, HKTA, HKTFA any](
-	_map func(HKTA, func(A) func(A) A) HKTFA,
-	_ap func(HKTFA, HKTA) HKTA,
+	fmap func(HKTA, func(A) func(A) A) HKTFA,
+	fap func(HKTFA, HKTA) HKTA,
 
 	s Semigroup[A],
 ) Semigroup[HKTA] {
 
 	cb := F.Curry2(s.Concat)
 	return MakeSemigroup(func(first HKTA, second HKTA) HKTA {
-		return _ap(_map(first, cb), second)
+		return fap(fmap(first, cb), second)
 	})
 }

string/generic/string.go

@@ -0,0 +1,41 @@
+// Copyright (c) 2023 IBM Corp.
+// All rights reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+package generic
+
+// ToBytes converts the string to bytes
+func ToBytes[T ~string](s T) []byte {
+	return []byte(s)
+}
+
+// ToRunes converts the string to runes
+func ToRunes[T ~string](s T) []rune {
+	return []rune(s)
+}
+
+// IsEmpty tests if the string is empty
+func IsEmpty[T ~string](s T) bool {
+	return len(s) == 0
+}
+
+// IsNonEmpty tests if the string is not empty
+func IsNonEmpty[T ~string](s T) bool {
+	return len(s) > 0
+}
+
+// Size returns the size of the string
+func Size[T ~string](s T) int {
+	return len(s)
+}

test.bat

@@ -0,0 +1,3 @@
+@echo off
+mkdir build 2> NUL
+gotip test .\... && go1.20.1 test .\... && go test -v -coverprofile build/cover.out -coverpkg=./... -covermode=atomic .\...

tuple/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-08-17 22:59:23.6923568 +0200 CEST m=+0.056359401
+// 2023-09-12 13:44:39.7573676 +0200 CEST m=+0.040374701
 
 package tuple
 
@@ -111,7 +111,7 @@ func MakeTuple1[T1 any](t1 T1) Tuple1[T1] {
 	return Tuple1[T1]{t1}
 }
 
-// Tupled1 converts a function with 1 parameters returning into a function taking a Tuple1
+// Tupled1 converts a function with 1 parameters into a function taking a Tuple1
 // The inverse function is [Untupled1]
 func Tupled1[F ~func(T1) R, T1, R any](f F) func(Tuple1[T1]) R {
 	return func(t Tuple1[T1]) R {
@@ -217,7 +217,7 @@ func MakeTuple2[T1, T2 any](t1 T1, t2 T2) Tuple2[T1, T2] {
 	return Tuple2[T1, T2]{t1, t2}
 }
 
-// Tupled2 converts a function with 2 parameters returning into a function taking a Tuple2
+// Tupled2 converts a function with 2 parameters into a function taking a Tuple2
 // The inverse function is [Untupled2]
 func Tupled2[F ~func(T1, T2) R, T1, T2, R any](f F) func(Tuple2[T1, T2]) R {
 	return func(t Tuple2[T1, T2]) R {
@@ -334,7 +334,7 @@ func MakeTuple3[T1, T2, T3 any](t1 T1, t2 T2, t3 T3) Tuple3[T1, T2, T3] {
 	return Tuple3[T1, T2, T3]{t1, t2, t3}
 }
 
-// Tupled3 converts a function with 3 parameters returning into a function taking a Tuple3
+// Tupled3 converts a function with 3 parameters into a function taking a Tuple3
 // The inverse function is [Untupled3]
 func Tupled3[F ~func(T1, T2, T3) R, T1, T2, T3, R any](f F) func(Tuple3[T1, T2, T3]) R {
 	return func(t Tuple3[T1, T2, T3]) R {
@@ -462,7 +462,7 @@ func MakeTuple4[T1, T2, T3, T4 any](t1 T1, t2 T2, t3 T3, t4 T4) Tuple4[T1, T2, T
 	return Tuple4[T1, T2, T3, T4]{t1, t2, t3, t4}
 }
 
-// Tupled4 converts a function with 4 parameters returning into a function taking a Tuple4
+// Tupled4 converts a function with 4 parameters into a function taking a Tuple4
 // The inverse function is [Untupled4]
 func Tupled4[F ~func(T1, T2, T3, T4) R, T1, T2, T3, T4, R any](f F) func(Tuple4[T1, T2, T3, T4]) R {
 	return func(t Tuple4[T1, T2, T3, T4]) R {
@@ -601,7 +601,7 @@ func MakeTuple5[T1, T2, T3, T4, T5 any](t1 T1, t2 T2, t3 T3, t4 T4, t5 T5) Tuple
 	return Tuple5[T1, T2, T3, T4, T5]{t1, t2, t3, t4, t5}
 }
 
-// Tupled5 converts a function with 5 parameters returning into a function taking a Tuple5
+// Tupled5 converts a function with 5 parameters into a function taking a Tuple5
 // The inverse function is [Untupled5]
 func Tupled5[F ~func(T1, T2, T3, T4, T5) R, T1, T2, T3, T4, T5, R any](f F) func(Tuple5[T1, T2, T3, T4, T5]) R {
 	return func(t Tuple5[T1, T2, T3, T4, T5]) R {
@@ -751,7 +751,7 @@ func MakeTuple6[T1, T2, T3, T4, T5, T6 any](t1 T1, t2 T2, t3 T3, t4 T4, t5 T5, t
 	return Tuple6[T1, T2, T3, T4, T5, T6]{t1, t2, t3, t4, t5, t6}
 }
 
-// Tupled6 converts a function with 6 parameters returning into a function taking a Tuple6
+// Tupled6 converts a function with 6 parameters into a function taking a Tuple6
 // The inverse function is [Untupled6]
 func Tupled6[F ~func(T1, T2, T3, T4, T5, T6) R, T1, T2, T3, T4, T5, T6, R any](f F) func(Tuple6[T1, T2, T3, T4, T5, T6]) R {
 	return func(t Tuple6[T1, T2, T3, T4, T5, T6]) R {
@@ -912,7 +912,7 @@ func MakeTuple7[T1, T2, T3, T4, T5, T6, T7 any](t1 T1, t2 T2, t3 T3, t4 T4, t5 T
 	return Tuple7[T1, T2, T3, T4, T5, T6, T7]{t1, t2, t3, t4, t5, t6, t7}
 }
 
-// Tupled7 converts a function with 7 parameters returning into a function taking a Tuple7
+// Tupled7 converts a function with 7 parameters into a function taking a Tuple7
 // The inverse function is [Untupled7]
 func Tupled7[F ~func(T1, T2, T3, T4, T5, T6, T7) R, T1, T2, T3, T4, T5, T6, T7, R any](f F) func(Tuple7[T1, T2, T3, T4, T5, T6, T7]) R {
 	return func(t Tuple7[T1, T2, T3, T4, T5, T6, T7]) R {
@@ -1084,7 +1084,7 @@ func MakeTuple8[T1, T2, T3, T4, T5, T6, T7, T8 any](t1 T1, t2 T2, t3 T3, t4 T4,
 	return Tuple8[T1, T2, T3, T4, T5, T6, T7, T8]{t1, t2, t3, t4, t5, t6, t7, t8}
 }
 
-// Tupled8 converts a function with 8 parameters returning into a function taking a Tuple8
+// Tupled8 converts a function with 8 parameters into a function taking a Tuple8
 // The inverse function is [Untupled8]
 func Tupled8[F ~func(T1, T2, T3, T4, T5, T6, T7, T8) R, T1, T2, T3, T4, T5, T6, T7, T8, R any](f F) func(Tuple8[T1, T2, T3, T4, T5, T6, T7, T8]) R {
 	return func(t Tuple8[T1, T2, T3, T4, T5, T6, T7, T8]) R {
@@ -1267,7 +1267,7 @@ func MakeTuple9[T1, T2, T3, T4, T5, T6, T7, T8, T9 any](t1 T1, t2 T2, t3 T3, t4
 	return Tuple9[T1, T2, T3, T4, T5, T6, T7, T8, T9]{t1, t2, t3, t4, t5, t6, t7, t8, t9}
 }
 
-// Tupled9 converts a function with 9 parameters returning into a function taking a Tuple9
+// Tupled9 converts a function with 9 parameters into a function taking a Tuple9
 // The inverse function is [Untupled9]
 func Tupled9[F ~func(T1, T2, T3, T4, T5, T6, T7, T8, T9) R, T1, T2, T3, T4, T5, T6, T7, T8, T9, R any](f F) func(Tuple9[T1, T2, T3, T4, T5, T6, T7, T8, T9]) R {
 	return func(t Tuple9[T1, T2, T3, T4, T5, T6, T7, T8, T9]) R {
@@ -1461,7 +1461,7 @@ func MakeTuple10[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 any](t1 T1, t2 T2, t3 T
 	return Tuple10[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10]{t1, t2, t3, t4, t5, t6, t7, t8, t9, t10}
 }
 
-// Tupled10 converts a function with 10 parameters returning into a function taking a Tuple10
+// Tupled10 converts a function with 10 parameters into a function taking a Tuple10
 // The inverse function is [Untupled10]
 func Tupled10[F ~func(T1, T2, T3, T4, T5, T6, T7, T8, T9, T10) R, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, R any](f F) func(Tuple10[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10]) R {
 	return func(t Tuple10[T1, T2, T3, T4, T5, T6, T7, T8, T9, T10]) R {

tuple/tuple.go

@@ -21,10 +21,12 @@ func Of[T1 any](t T1) Tuple1[T1] {
 	return MakeTuple1(t)
 }
 
+// First returns the first element of a [Tuple2]
 func First[T1, T2 any](t Tuple2[T1, T2]) T1 {
 	return t.F1
 }
 
+// Second returns the second element of a [Tuple2]
 func Second[T1, T2 any](t Tuple2[T1, T2]) T2 {
 	return t.F2
 }