fix: correct sequence order of TraverseArraySeq for IO

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

.github/workflows/build.yml

@@ -17,8 +17,8 @@ on:
 env:
   # Currently no way to detect automatically
   DEFAULT_BRANCH: main
-  GO_VERSION: 1.20.6 # renovate: datasource=golang-version depName=golang
-  NODE_VERSION: 18
+  GO_VERSION: 1.21.6 # renovate: datasource=golang-version depName=golang
+  NODE_VERSION: 20
   DRY_RUN: true
 
 jobs:
@@ -26,7 +26,7 @@ jobs:
     runs-on: ubuntu-latest
     strategy:
       matrix:
-        go-version: [ '1.20.x', '1.21.x' ]
+        go-version: [ '1.20.x', '1.21.x', '1.22.x']
     steps:
       # full checkout for semantic-release
       - uses: actions/checkout@b4ffde65f46336ab88eb53be808477a3936bae11 # v4.1.1
@@ -60,7 +60,7 @@ jobs:
           fetch-depth: 0
 
       - name: Set up Node.js ${{ env.NODE_VERSION }}
-        uses: actions/setup-node@8f152de45cc393bb48ce5d89d36b731f54556e65 # v4.0.0
+        uses: actions/setup-node@60edb5dd545a775178f52524783378180af0d1f8 # v4.0.2
         with:
           node-version: ${{ env.NODE_VERSION }}
 

.gitignore

@@ -1,3 +1,4 @@
 fp-go.exe
 main.exe
-build/
+build/
+.idea

array/array.go

@@ -17,6 +17,7 @@ package array
 
 import (
 	G "github.com/IBM/fp-go/array/generic"
+	EM "github.com/IBM/fp-go/endomorphism"
 	F "github.com/IBM/fp-go/function"
 	"github.com/IBM/fp-go/internal/array"
 	M "github.com/IBM/fp-go/monoid"
@@ -57,7 +58,7 @@ func MapWithIndex[A, B any](f func(int, A) B) func([]A) []B {
 }
 
 func Map[A, B any](f func(a A) B) func([]A) []B {
-	return F.Bind2nd(MonadMap[A, B], f)
+	return G.Map[[]A, []B, A, B](f)
 }
 
 func MapRef[A, B any](f func(a *A) B) func([]A) []B {
@@ -89,16 +90,16 @@ func filterMapRef[A, B any](fa []A, pred func(a *A) bool, f func(a *A) B) []B {
 }
 
 // Filter returns a new array with all elements from the original array that match a predicate
-func Filter[A any](pred func(A) bool) func([]A) []A {
+func Filter[A any](pred func(A) bool) EM.Endomorphism[[]A] {
 	return G.Filter[[]A](pred)
 }
 
 // FilterWithIndex returns a new array with all elements from the original array that match a predicate
-func FilterWithIndex[A any](pred func(int, A) bool) func([]A) []A {
+func FilterWithIndex[A any](pred func(int, A) bool) EM.Endomorphism[[]A] {
 	return G.FilterWithIndex[[]A](pred)
 }
 
-func FilterRef[A any](pred func(*A) bool) func([]A) []A {
+func FilterRef[A any](pred func(*A) bool) EM.Endomorphism[[]A] {
 	return F.Bind2nd(filterRef[A], pred)
 }
 
@@ -227,7 +228,7 @@ func Last[A any](as []A) O.Option[A] {
 	return G.Last(as)
 }
 
-func PrependAll[A any](middle A) func([]A) []A {
+func PrependAll[A any](middle A) EM.Endomorphism[[]A] {
 	return func(as []A) []A {
 		count := len(as)
 		dst := count * 2
@@ -242,7 +243,7 @@ func PrependAll[A any](middle A) func([]A) []A {
 	}
 }
 
-func Intersperse[A any](middle A) func([]A) []A {
+func Intersperse[A any](middle A) EM.Endomorphism[[]A] {
 	prepend := PrependAll(middle)
 	return func(as []A) []A {
 		if IsEmpty(as) {
@@ -271,7 +272,7 @@ func Lookup[A any](idx int) func([]A) O.Option[A] {
 	return G.Lookup[[]A](idx)
 }
 
-func UpsertAt[A any](a A) func([]A) []A {
+func UpsertAt[A any](a A) EM.Endomorphism[[]A] {
 	return G.UpsertAt[[]A](a)
 }
 
@@ -304,7 +305,7 @@ func ConstNil[A any]() []A {
 	return array.ConstNil[[]A]()
 }
 
-func SliceRight[A any](start int) func([]A) []A {
+func SliceRight[A any](start int) EM.Endomorphism[[]A] {
 	return G.SliceRight[[]A](start)
 }
 
@@ -333,8 +334,8 @@ func Fold[A any](m M.Monoid[A]) func([]A) A {
 	return G.Fold[[]A](m)
 }
 
-func Push[A any](a A) func([]A) []A {
-	return G.Push[[]A](a)
+func Push[A any](a A) EM.Endomorphism[[]A] {
+	return G.Push[EM.Endomorphism[[]A]](a)
 }
 
 func MonadFlap[B, A any](fab []func(A) B, a A) []B {
@@ -344,3 +345,7 @@ func MonadFlap[B, A any](fab []func(A) B, a A) []B {
 func Flap[B, A any](a A) func([]func(A) B) []B {
 	return G.Flap[func(A) B, []func(A) B, []B, A, B](a)
 }
+
+func Prepend[A any](head A) EM.Endomorphism[[]A] {
+	return G.Prepend[EM.Endomorphism[[]A]](head)
+}

array/bind.go

@@ -0,0 +1,66 @@
+// 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 array
+
+import (
+	G "github.com/IBM/fp-go/array/generic"
+)
+
+// Bind creates an empty context of type [S] to be used with the [Bind] operation
+func Do[S any](
+	empty S,
+) []S {
+	return G.Do[[]S, S](empty)
+}
+
+// Bind attaches the result of a computation to a context [S1] to produce a context [S2]
+func Bind[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) []T,
+) func([]S1) []S2 {
+	return G.Bind[[]S1, []S2, []T, S1, S2, T](setter, f)
+}
+
+// Let attaches the result of a computation to a context [S1] to produce a context [S2]
+func Let[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) T,
+) func([]S1) []S2 {
+	return G.Let[[]S1, []S2, S1, S2, T](setter, f)
+}
+
+// LetTo attaches the a value to a context [S1] to produce a context [S2]
+func LetTo[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	b T,
+) func([]S1) []S2 {
+	return G.LetTo[[]S1, []S2, S1, S2, T](setter, b)
+}
+
+// BindTo initializes a new state [S1] from a value [T]
+func BindTo[S1, T any](
+	setter func(T) S1,
+) func([]T) []S1 {
+	return G.BindTo[[]S1, []T, S1, T](setter)
+}
+
+// ApS attaches a value to a context [S1] to produce a context [S2] by considering the context and the value concurrently
+func ApS[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	fa []T,
+) func([]S1) []S2 {
+	return G.ApS[[]S1, []S2, []T, S1, S2, T](setter, fa)
+}

array/bind_test.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 array
+
+import (
+	"testing"
+
+	F "github.com/IBM/fp-go/function"
+	"github.com/IBM/fp-go/internal/utils"
+	"github.com/stretchr/testify/assert"
+)
+
+func getLastName(s utils.Initial) []string {
+	return Of("Doe")
+}
+
+func getGivenName(s utils.WithLastName) []string {
+	return Of("John")
+}
+
+func TestBind(t *testing.T) {
+
+	res := F.Pipe3(
+		Do(utils.Empty),
+		Bind(utils.SetLastName, getLastName),
+		Bind(utils.SetGivenName, getGivenName),
+		Map(utils.GetFullName),
+	)
+
+	assert.Equal(t, res, Of("John Doe"))
+}
+
+func TestApS(t *testing.T) {
+
+	res := F.Pipe3(
+		Do(utils.Empty),
+		ApS(utils.SetLastName, Of("Doe")),
+		ApS(utils.SetGivenName, Of("John")),
+		Map(utils.GetFullName),
+	)
+
+	assert.Equal(t, res, Of("John Doe"))
+}

array/generic/array.go

@@ -147,7 +147,7 @@ func MonadMap[GA ~[]A, GB ~[]B, A, B any](as GA, f func(a A) B) GB {
 }
 
 func Map[GA ~[]A, GB ~[]B, A, B any](f func(a A) B) func(GA) GB {
-	return F.Bind2nd(MonadMap[GA, GB, A, B], f)
+	return array.Map[GA, GB](f)
 }
 
 func MonadMapWithIndex[GA ~[]A, GB ~[]B, A, B any](as GA, f func(int, A) B) GB {
@@ -335,7 +335,7 @@ func Fold[AS ~[]A, A any](m M.Monoid[A]) func(AS) A {
 	}
 }
 
-func Push[GA ~[]A, A any](a A) func(GA) GA {
+func Push[ENDO ~func(GA) GA, GA ~[]A, A any](a A) ENDO {
 	return F.Bind2nd(array.Push[GA, A], a)
 }
 
@@ -344,5 +344,9 @@ func MonadFlap[FAB ~func(A) B, GFAB ~[]FAB, GB ~[]B, A, B any](fab GFAB, a A) GB
 }
 
 func Flap[FAB ~func(A) B, GFAB ~[]FAB, GB ~[]B, A, B any](a A) func(GFAB) GB {
-	return F.Bind2nd(MonadFlap[FAB, GFAB, GB, A, B], a)
+	return FC.Flap(Map[GFAB, GB], a)
+}
+
+func Prepend[ENDO ~func(AS) AS, AS []A, A any](head A) ENDO {
+	return array.Prepend[ENDO](head)
 }

array/generic/bind.go

@@ -0,0 +1,89 @@
+// 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 (
+	A "github.com/IBM/fp-go/internal/apply"
+	C "github.com/IBM/fp-go/internal/chain"
+	F "github.com/IBM/fp-go/internal/functor"
+)
+
+// Bind creates an empty context of type [S] to be used with the [Bind] operation
+func Do[GS ~[]S, S any](
+	empty S,
+) GS {
+	return Of[GS](empty)
+}
+
+// Bind attaches the result of a computation to a context [S1] to produce a context [S2]
+func Bind[GS1 ~[]S1, GS2 ~[]S2, GT ~[]T, S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) GT,
+) func(GS1) GS2 {
+	return C.Bind(
+		Chain[GS1, GS2, S1, S2],
+		Map[GT, GS2, T, S2],
+		setter,
+		f,
+	)
+}
+
+// Let attaches the result of a computation to a context [S1] to produce a context [S2]
+func Let[GS1 ~[]S1, GS2 ~[]S2, S1, S2, T any](
+	key func(T) func(S1) S2,
+	f func(S1) T,
+) func(GS1) GS2 {
+	return F.Let(
+		Map[GS1, GS2, S1, S2],
+		key,
+		f,
+	)
+}
+
+// LetTo attaches the a value to a context [S1] to produce a context [S2]
+func LetTo[GS1 ~[]S1, GS2 ~[]S2, S1, S2, B any](
+	key func(B) func(S1) S2,
+	b B,
+) func(GS1) GS2 {
+	return F.LetTo(
+		Map[GS1, GS2, S1, S2],
+		key,
+		b,
+	)
+}
+
+// BindTo initializes a new state [S1] from a value [T]
+func BindTo[GS1 ~[]S1, GT ~[]T, S1, T any](
+	setter func(T) S1,
+) func(GT) GS1 {
+	return C.BindTo(
+		Map[GT, GS1, T, S1],
+		setter,
+	)
+}
+
+// ApS attaches a value to a context [S1] to produce a context [S2] by considering the context and the value concurrently
+func ApS[GS1 ~[]S1, GS2 ~[]S2, GT ~[]T, S1, S2, T any](
+	setter func(T) func(S1) S2,
+	fa GT,
+) func(GS1) GS2 {
+	return A.ApS(
+		Ap[GS2, []func(T) S2, GT, S2, T],
+		Map[GS1, []func(T) S2, S1, func(T) S2],
+		setter,
+		fa,
+	)
+}

array/generic/monad.go

@@ -0,0 +1,43 @@
+// Copyright (c) 2024 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 (
+	"github.com/IBM/fp-go/internal/monad"
+)
+
+type arrayMonad[A, B any, GA ~[]A, GB ~[]B, GAB ~[]func(A) B] struct{}
+
+func (o *arrayMonad[A, B, GA, GB, GAB]) Of(a A) GA {
+	return Of[GA, A](a)
+}
+
+func (o *arrayMonad[A, B, GA, GB, GAB]) Map(f func(A) B) func(GA) GB {
+	return Map[GA, GB, A, B](f)
+}
+
+func (o *arrayMonad[A, B, GA, GB, GAB]) Chain(f func(A) GB) func(GA) GB {
+	return Chain[GA, GB, A, B](f)
+}
+
+func (o *arrayMonad[A, B, GA, GB, GAB]) Ap(fa GA) func(GAB) GB {
+	return Ap[GB, GAB, GA, B, A](fa)
+}
+
+// Monad implements the monadic operations for an array
+func Monad[A, B any, GA ~[]A, GB ~[]B, GAB ~[]func(A) B]() monad.Monad[A, B, GA, GB, GAB] {
+	return &arrayMonad[A, B, GA, GB, GAB]{}
+}

array/monad.go

@@ -0,0 +1,26 @@
+// Copyright (c) 2024 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 array
+
+import (
+	G "github.com/IBM/fp-go/array/generic"
+	"github.com/IBM/fp-go/internal/monad"
+)
+
+// Monad returns the monadic operations for an array
+func Monad[A, B any]() monad.Monad[A, B, []A, []B, []func(A) B] {
+	return G.Monad[A, B, []A, []B, []func(A) B]()
+}

array/monoid.go

@@ -24,10 +24,10 @@ import (
 func concat[T any](left, right []T) []T {
 	// some performance checks
 	ll := len(left)
-	lr := len(right)
 	if ll == 0 {
 		return right
 	}
+	lr := len(right)
 	if lr == 0 {
 		return left
 	}

array/nonempty/array.go

@@ -17,6 +17,7 @@ package nonempty
 
 import (
 	G "github.com/IBM/fp-go/array/generic"
+	EM "github.com/IBM/fp-go/endomorphism"
 	F "github.com/IBM/fp-go/function"
 	"github.com/IBM/fp-go/internal/array"
 	S "github.com/IBM/fp-go/semigroup"
@@ -43,11 +44,11 @@ func From[A any](first A, data ...A) NonEmptyArray[A] {
 	return buffer
 }
 
-func IsEmpty[A any](as NonEmptyArray[A]) bool {
+func IsEmpty[A any](_ NonEmptyArray[A]) bool {
 	return false
 }
 
-func IsNonEmpty[A any](as NonEmptyArray[A]) bool {
+func IsNonEmpty[A any](_ NonEmptyArray[A]) bool {
 	return true
 }
 
@@ -65,6 +66,12 @@ func Reduce[A, B any](f func(B, A) B, initial B) func(NonEmptyArray[A]) B {
 	}
 }
 
+func ReduceRight[A, B any](f func(A, B) B, initial B) func(NonEmptyArray[A]) B {
+	return func(as NonEmptyArray[A]) B {
+		return array.ReduceRight(as, f, initial)
+	}
+}
+
 func Tail[A any](as NonEmptyArray[A]) []A {
 	return as[1:]
 }
@@ -122,3 +129,8 @@ func Fold[A any](s S.Semigroup[A]) func(NonEmptyArray[A]) A {
 		return array.Reduce(Tail(as), s.Concat, Head(as))
 	}
 }
+
+// Prepend prepends a single value to an array
+func Prepend[A any](head A) EM.Endomorphism[NonEmptyArray[A]] {
+	return array.Prepend[EM.Endomorphism[NonEmptyArray[A]]](head)
+}

array/testing/laws.go

@@ -0,0 +1,74 @@
+// 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 testing
+
+import (
+	"testing"
+
+	RA "github.com/IBM/fp-go/array"
+	EQ "github.com/IBM/fp-go/eq"
+	L "github.com/IBM/fp-go/internal/monad/testing"
+)
+
+// AssertLaws asserts the apply monad laws for the array monad
+func AssertLaws[A, B, C any](t *testing.T,
+	eqa EQ.Eq[A],
+	eqb EQ.Eq[B],
+	eqc EQ.Eq[C],
+
+	ab func(A) B,
+	bc func(B) C,
+) func(a A) bool {
+
+	return L.AssertLaws(t,
+		RA.Eq(eqa),
+		RA.Eq(eqb),
+		RA.Eq(eqc),
+
+		RA.Of[A],
+		RA.Of[B],
+		RA.Of[C],
+
+		RA.Of[func(A) A],
+		RA.Of[func(A) B],
+		RA.Of[func(B) C],
+		RA.Of[func(func(A) B) B],
+
+		RA.MonadMap[A, A],
+		RA.MonadMap[A, B],
+		RA.MonadMap[A, C],
+		RA.MonadMap[B, C],
+
+		RA.MonadMap[func(B) C, func(func(A) B) func(A) C],
+
+		RA.MonadChain[A, A],
+		RA.MonadChain[A, B],
+		RA.MonadChain[A, C],
+		RA.MonadChain[B, C],
+
+		RA.MonadAp[A, A],
+		RA.MonadAp[B, A],
+		RA.MonadAp[C, B],
+		RA.MonadAp[C, A],
+
+		RA.MonadAp[B, func(A) B],
+		RA.MonadAp[func(A) C, func(A) B],
+
+		ab,
+		bc,
+	)
+
+}

array/testing/laws_test.go

@@ -0,0 +1,47 @@
+// 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 testing
+
+import (
+	"fmt"
+	"testing"
+
+	EQ "github.com/IBM/fp-go/eq"
+	"github.com/stretchr/testify/assert"
+)
+
+func TestMonadLaws(t *testing.T) {
+	// some comparison
+	eqa := EQ.FromStrictEquals[bool]()
+	eqb := EQ.FromStrictEquals[int]()
+	eqc := EQ.FromStrictEquals[string]()
+
+	ab := func(a bool) int {
+		if a {
+			return 1
+		}
+		return 0
+	}
+
+	bc := func(b int) string {
+		return fmt.Sprintf("value %d", b)
+	}
+
+	laws := AssertLaws(t, eqa, eqb, eqc, ab, bc)
+
+	assert.True(t, laws(true))
+	assert.True(t, laws(false))
+}

bounded/bounded.go

@@ -32,20 +32,20 @@ type bounded[T any] struct {
 	b T
 }
 
-func (self bounded[T]) Equals(x, y T) bool {
-	return self.e(x, y)
+func (b bounded[T]) Equals(x, y T) bool {
+	return b.e(x, y)
 }
 
-func (self bounded[T]) Compare(x, y T) int {
-	return self.c(x, y)
+func (b bounded[T]) Compare(x, y T) int {
+	return b.c(x, y)
 }
 
-func (self bounded[T]) Top() T {
-	return self.t
+func (b bounded[T]) Top() T {
+	return b.t
 }
 
-func (self bounded[T]) Bottom() T {
-	return self.b
+func (b bounded[T]) Bottom() T {
+	return b.b
 }
 
 // MakeBounded creates an instance of a bounded type

bytes/bytes.go

@@ -15,6 +15,10 @@
 
 package bytes
 
+func Empty() []byte {
+	return Monoid.Empty()
+}
+
 func ToString(a []byte) string {
 	return string(a)
 }

cli/commands.go

@@ -34,5 +34,6 @@ func Commands() []*C.Command {
 		IOEitherCommand(),
 		IOCommand(),
 		IOOptionCommand(),
+		DICommand(),
 	}
 }

cli/di.go

@@ -0,0 +1,231 @@
+// 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 cli
+
+import (
+	"fmt"
+	"log"
+	"os"
+	"path/filepath"
+	"time"
+
+	C "github.com/urfave/cli/v2"
+)
+
+func generateMakeProvider(f *os.File, i int) {
+	// non generic version
+	fmt.Fprintf(f, "\n// MakeProvider%d creates a [DIE.Provider] for an [InjectionToken] from a function with %d dependencies\n", i, i)
+	fmt.Fprintf(f, "func MakeProvider%d[", i)
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T%d", j+1)
+	}
+	fmt.Fprintf(f, " any, R any](\n")
+	fmt.Fprintf(f, "  token InjectionToken[R],\n")
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "  d%d Dependency[T%d],\n", j+1, j+1)
+	}
+	fmt.Fprintf(f, "  f func(")
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T%d", j+1)
+	}
+	fmt.Fprintf(f, ") IOE.IOEither[error, R],\n")
+	fmt.Fprintf(f, ") DIE.Provider {\n")
+	fmt.Fprint(f, "  return DIE.MakeProvider(\n")
+	fmt.Fprint(f, "    token,\n")
+	fmt.Fprintf(f, "    MakeProviderFactory%d(\n", i)
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "      d%d,\n", j+1)
+	}
+	fmt.Fprint(f, "      f,\n")
+	fmt.Fprint(f, "  ))\n")
+	fmt.Fprintf(f, "}\n")
+}
+
+func generateMakeTokenWithDefault(f *os.File, i int) {
+	// non generic version
+	fmt.Fprintf(f, "\n// MakeTokenWithDefault%d creates an [InjectionToken] with a default implementation with %d dependencies\n", i, i)
+	fmt.Fprintf(f, "func MakeTokenWithDefault%d[", i)
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T%d", j+1)
+	}
+	fmt.Fprintf(f, " any, R any](\n")
+	fmt.Fprintf(f, "  name string,\n")
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "  d%d Dependency[T%d],\n", j+1, j+1)
+	}
+	fmt.Fprintf(f, "  f func(")
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T%d", j+1)
+	}
+	fmt.Fprintf(f, ") IOE.IOEither[error, R],\n")
+	fmt.Fprintf(f, ") InjectionToken[R] {\n")
+	fmt.Fprintf(f, "  return MakeTokenWithDefault[R](name, MakeProviderFactory%d(\n", i)
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "    d%d,\n", j+1)
+	}
+	fmt.Fprint(f, "    f,\n")
+	fmt.Fprint(f, "  ))\n")
+	fmt.Fprintf(f, "}\n")
+}
+
+func generateMakeProviderFactory(f *os.File, i int) {
+	// non generic version
+	fmt.Fprintf(f, "\n// MakeProviderFactory%d creates a [DIE.ProviderFactory] from a function with %d arguments and %d dependencies\n", i, i, i)
+	fmt.Fprintf(f, "func MakeProviderFactory%d[", i)
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T%d", j+1)
+	}
+	fmt.Fprintf(f, " any, R any](\n")
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "  d%d Dependency[T%d],\n", j+1, j+1)
+	}
+	fmt.Fprintf(f, "  f func(")
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T%d", j+1)
+	}
+	fmt.Fprintf(f, ") IOE.IOEither[error, R],\n")
+	fmt.Fprintf(f, ") DIE.ProviderFactory {\n")
+	fmt.Fprint(f, "  return DIE.MakeProviderFactory(\n")
+	fmt.Fprint(f, "    A.From[DIE.Dependency](\n")
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "      d%d,\n", j+1)
+	}
+	fmt.Fprint(f, "    ),\n")
+	fmt.Fprintf(f, "    eraseProviderFactory%d(\n", i)
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "      d%d,\n", j+1)
+	}
+	fmt.Fprint(f, "      f,\n")
+	fmt.Fprint(f, "    ),\n")
+	fmt.Fprint(f, "  )\n")
+	fmt.Fprintf(f, "}\n")
+}
+
+func generateEraseProviderFactory(f *os.File, i int) {
+	// non generic version
+	fmt.Fprintf(f, "\n// eraseProviderFactory%d creates a function that takes a variadic number of untyped arguments and from a function of %d strongly typed arguments and %d dependencies\n", i, i, i)
+	fmt.Fprintf(f, "func eraseProviderFactory%d[", i)
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T%d", j+1)
+	}
+	fmt.Fprintf(f, " any, R any](\n")
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "  d%d Dependency[T%d],\n", j+1, j+1)
+	}
+	fmt.Fprintf(f, "  f func(")
+	for j := 0; j < i; j++ {
+		if j > 0 {
+			fmt.Fprintf(f, ", ")
+		}
+		fmt.Fprintf(f, "T%d", j+1)
+	}
+	fmt.Fprintf(f, ") IOE.IOEither[error, R]) func(params ...any) IOE.IOEither[error, any] {\n")
+	fmt.Fprintf(f, "  ft := eraseTuple(T.Tupled%d(f))\n", i)
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "  t%d := lookupAt[T%d](%d, d%d)\n", j+1, j+1, j, j+1)
+	}
+	fmt.Fprint(f, "  return func(params ...any) IOE.IOEither[error, any] {\n")
+	fmt.Fprintf(f, "    return ft(E.SequenceT%d(\n", i)
+	for j := 0; j < i; j++ {
+		fmt.Fprintf(f, "      t%d(params),\n", j+1)
+	}
+	fmt.Fprint(f, "    ))\n")
+	fmt.Fprint(f, "  }\n")
+	fmt.Fprintf(f, "}\n")
+}
+
+func generateDIHelpers(filename string, count int) error {
+	dir, err := os.Getwd()
+	if err != nil {
+		return err
+	}
+	absDir, err := filepath.Abs(dir)
+	if err != nil {
+		return err
+	}
+	pkg := filepath.Base(absDir)
+	f, err := os.Create(filepath.Clean(filename))
+	if err != nil {
+		return err
+	}
+	defer f.Close()
+	// log
+	log.Printf("Generating code in [%s] for package [%s] with [%d] repetitions ...", filename, pkg, count)
+
+	// some header
+	fmt.Fprintln(f, "// Code generated by go generate; DO NOT EDIT.")
+	fmt.Fprintln(f, "// This file was generated by robots at")
+	fmt.Fprintf(f, "// %s\n\n", time.Now())
+
+	fmt.Fprintf(f, "package %s\n\n", pkg)
+
+	fmt.Fprint(f, `
+import (
+	E "github.com/IBM/fp-go/either"
+	IOE "github.com/IBM/fp-go/ioeither"
+	T "github.com/IBM/fp-go/tuple"
+	A "github.com/IBM/fp-go/array"
+	DIE "github.com/IBM/fp-go/di/erasure"
+)
+`)
+
+	for i := 1; i <= count; i++ {
+		generateEraseProviderFactory(f, i)
+		generateMakeProviderFactory(f, i)
+		generateMakeTokenWithDefault(f, i)
+		generateMakeProvider(f, i)
+	}
+
+	return nil
+}
+
+func DICommand() *C.Command {
+	return &C.Command{
+		Name:  "di",
+		Usage: "generate code for the dependency injection package",
+		Flags: []C.Flag{
+			flagCount,
+			flagFilename,
+		},
+		Action: func(ctx *C.Context) error {
+			return generateDIHelpers(
+				ctx.String(keyFilename),
+				ctx.Int(keyCount),
+			)
+		},
+	}
+}

cli/pipe.go

@@ -265,10 +265,15 @@ func generatePipe(f *os.File, i int) {
 		fmt.Fprintf(f, ", f%d F%d", j, j)
 	}
 	fmt.Fprintf(f, ") T%d {\n", i)
-	for j := 1; j <= i; j++ {
-		fmt.Fprintf(f, "  t%d := f%d(t%d)\n", j, j, j-1)
+	fmt.Fprintf(f, "  return ")
+	for j := i; j >= 1; j-- {
+		fmt.Fprintf(f, "f%d(", j)
 	}
-	fmt.Fprintf(f, "  return t%d\n", i)
+	fmt.Fprintf(f, "t0")
+	for j := 1; j <= i; j++ {
+		fmt.Fprintf(f, ")")
+	}
+	fmt.Fprintf(f, "\n")
 	fmt.Fprintln(f, "}")
 }
 

cli/tuple.go

@@ -405,8 +405,6 @@ func generateTupleHelpers(filename string, count int) error {
 
 	fmt.Fprintf(f, `
 import (
-	"fmt"
-	"encoding/json"
 	M "github.com/IBM/fp-go/monoid"
 	O "github.com/IBM/fp-go/ord"	
 )
@@ -457,7 +455,7 @@ func generateTupleMarshal(f *os.File, i int) {
 	fmt.Fprintf(f, "func (t ")
 	writeTupleType(f, "T", i)
 	fmt.Fprintf(f, ") MarshalJSON() ([]byte, error) {\n")
-	fmt.Fprintf(f, "  return json.Marshal([]any{")
+	fmt.Fprintf(f, "  return tupleMarshalJSON(")
 	// function prototypes
 	for j := 1; j <= i; j++ {
 		if j > 1 {
@@ -465,7 +463,7 @@ func generateTupleMarshal(f *os.File, i int) {
 		}
 		fmt.Fprintf(f, "t.F%d", j)
 	}
-	fmt.Fprintf(f, "})\n")
+	fmt.Fprintf(f, ")\n")
 	fmt.Fprintf(f, "}\n")
 }
 
@@ -475,19 +473,12 @@ func generateTupleUnmarshal(f *os.File, i int) {
 	fmt.Fprintf(f, "func (t *")
 	writeTupleType(f, "T", i)
 	fmt.Fprintf(f, ") UnmarshalJSON(data []byte) error {\n")
-	fmt.Fprintf(f, "  var tmp []json.RawMessage\n")
-	fmt.Fprintf(f, "  if err := json.Unmarshal(data, &tmp); err != nil {return err}\n")
-	fmt.Fprintf(f, "  l := len(tmp)\n")
-	// unmarshal fields
+	fmt.Fprintf(f, "  return tupleUnmarshalJSON(data")
+	// function prototypes
 	for j := 1; j <= i; j++ {
-		fmt.Fprintf(f, "  if l > %d {\n", j-1)
-		fmt.Fprintf(f, "  if err := json.Unmarshal(tmp[%d], &t.F%d); err != nil {return err}\n", j-1, j)
+		fmt.Fprintf(f, ", &t.F%d", j)
 	}
-	fmt.Fprintf(f, "  ")
-	for j := 1; j <= i; j++ {
-		fmt.Fprintf(f, "}")
-	}
-	fmt.Fprintf(f, "\n  return nil\n")
+	fmt.Fprintf(f, ")\n")
 	fmt.Fprintf(f, "}\n")
 }
 
@@ -570,30 +561,13 @@ func generateTupleString(f *os.File, i int) {
 	writeTupleType(f, "T", i)
 	fmt.Fprintf(f, ") String() string {\n")
 	// convert to string
-	fmt.Fprintf(f, "  return fmt.Sprintf(\"Tuple%d[", i)
-	for j := 1; j <= i; j++ {
-		if j > 1 {
-			fmt.Fprintf(f, ", ")
-		}
-		fmt.Fprintf(f, "%s", "%T")
-	}
-	fmt.Fprintf(f, "](")
-	for j := 1; j <= i; j++ {
-		if j > 1 {
-			fmt.Fprintf(f, ", ")
-		}
-		fmt.Fprintf(f, "%s", "%v")
-	}
-	fmt.Fprintf(f, ")\", ")
+	fmt.Fprint(f, "  return tupleString(")
 	for j := 1; j <= i; j++ {
 		if j > 1 {
 			fmt.Fprintf(f, ", ")
 		}
 		fmt.Fprintf(f, "t.F%d", j)
 	}
-	for j := 1; j <= i; j++ {
-		fmt.Fprintf(f, ", t.F%d", j)
-	}
 	fmt.Fprintf(f, ")\n")
 	fmt.Fprintf(f, "}\n")
 }

constant/const.go

@@ -37,7 +37,7 @@ func Of[E, A any](m M.Monoid[E]) func(A) Const[E, A] {
 	return F.Constant1[A](Make[E, A](m.Empty()))
 }
 
-func MonadMap[E, A, B any](fa Const[E, A], f func(A) B) Const[E, B] {
+func MonadMap[E, A, B any](fa Const[E, A], _ func(A) B) Const[E, B] {
 	return Make[E, B](fa.value)
 }
 

context/readereither/bind.go

@@ -0,0 +1,68 @@
+// 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 readereither
+
+import (
+	"context"
+
+	G "github.com/IBM/fp-go/readereither/generic"
+)
+
+// Bind creates an empty context of type [S] to be used with the [Bind] operation
+func Do[S any](
+	empty S,
+) ReaderEither[S] {
+	return G.Do[ReaderEither[S], context.Context, error, S](empty)
+}
+
+// Bind attaches the result of a computation to a context [S1] to produce a context [S2]
+func Bind[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) ReaderEither[T],
+) func(ReaderEither[S1]) ReaderEither[S2] {
+	return G.Bind[ReaderEither[S1], ReaderEither[S2], ReaderEither[T], context.Context, error, S1, S2, T](setter, f)
+}
+
+// Let attaches the result of a computation to a context [S1] to produce a context [S2]
+func Let[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) T,
+) func(ReaderEither[S1]) ReaderEither[S2] {
+	return G.Let[ReaderEither[S1], ReaderEither[S2], context.Context, error, S1, S2, T](setter, f)
+}
+
+// LetTo attaches the a value to a context [S1] to produce a context [S2]
+func LetTo[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	b T,
+) func(ReaderEither[S1]) ReaderEither[S2] {
+	return G.LetTo[ReaderEither[S1], ReaderEither[S2], context.Context, error, S1, S2, T](setter, b)
+}
+
+// BindTo initializes a new state [S1] from a value [T]
+func BindTo[S1, T any](
+	setter func(T) S1,
+) func(ReaderEither[T]) ReaderEither[S1] {
+	return G.BindTo[ReaderEither[S1], ReaderEither[T], context.Context, error, S1, T](setter)
+}
+
+// ApS attaches a value to a context [S1] to produce a context [S2] by considering the context and the value concurrently
+func ApS[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	fa ReaderEither[T],
+) func(ReaderEither[S1]) ReaderEither[S2] {
+	return G.ApS[ReaderEither[S1], ReaderEither[S2], ReaderEither[T], context.Context, error, S1, S2, T](setter, fa)
+}

context/readereither/bind_test.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 readereither
+
+import (
+	"context"
+	"testing"
+
+	E "github.com/IBM/fp-go/either"
+	F "github.com/IBM/fp-go/function"
+	"github.com/IBM/fp-go/internal/utils"
+	"github.com/stretchr/testify/assert"
+)
+
+func getLastName(s utils.Initial) ReaderEither[string] {
+	return Of("Doe")
+}
+
+func getGivenName(s utils.WithLastName) ReaderEither[string] {
+	return Of("John")
+}
+
+func TestBind(t *testing.T) {
+
+	res := F.Pipe3(
+		Do(utils.Empty),
+		Bind(utils.SetLastName, getLastName),
+		Bind(utils.SetGivenName, getGivenName),
+		Map(utils.GetFullName),
+	)
+
+	assert.Equal(t, res(context.Background()), E.Of[error]("John Doe"))
+}
+
+func TestApS(t *testing.T) {
+
+	res := F.Pipe3(
+		Do(utils.Empty),
+		ApS(utils.SetLastName, Of("Doe")),
+		ApS(utils.SetGivenName, Of("John")),
+		Map(utils.GetFullName),
+	)
+
+	assert.Equal(t, res(context.Background()), E.Of[error]("John Doe"))
+}

context/readerioeither/bind.go

@@ -0,0 +1,67 @@
+// 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"
+	IOE "github.com/IBM/fp-go/ioeither"
+)
+
+// Bind creates an empty context of type [S] to be used with the [Bind] operation
+func Do[S any](
+	empty S,
+) ReaderIOEither[S] {
+	return G.Do[ReaderIOEither[S], IOE.IOEither[error, S], S](empty)
+}
+
+// Bind attaches the result of a computation to a context [S1] to produce a context [S2]
+func Bind[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) ReaderIOEither[T],
+) func(ReaderIOEither[S1]) ReaderIOEither[S2] {
+	return G.Bind[ReaderIOEither[S1], ReaderIOEither[S2], ReaderIOEither[T], IOE.IOEither[error, S1], IOE.IOEither[error, S2], IOE.IOEither[error, T], S1, S2, T](setter, f)
+}
+
+// Let attaches the result of a computation to a context [S1] to produce a context [S2]
+func Let[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) T,
+) func(ReaderIOEither[S1]) ReaderIOEither[S2] {
+	return G.Let[ReaderIOEither[S1], ReaderIOEither[S2], IOE.IOEither[error, S1], IOE.IOEither[error, S2], S1, S2, T](setter, f)
+}
+
+// LetTo attaches the a value to a context [S1] to produce a context [S2]
+func LetTo[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	b T,
+) func(ReaderIOEither[S1]) ReaderIOEither[S2] {
+	return G.LetTo[ReaderIOEither[S1], ReaderIOEither[S2], IOE.IOEither[error, S1], IOE.IOEither[error, S2], S1, S2, T](setter, b)
+}
+
+// BindTo initializes a new state [S1] from a value [T]
+func BindTo[S1, T any](
+	setter func(T) S1,
+) func(ReaderIOEither[T]) ReaderIOEither[S1] {
+	return G.BindTo[ReaderIOEither[S1], ReaderIOEither[T], IOE.IOEither[error, S1], IOE.IOEither[error, T], S1, T](setter)
+}
+
+// ApS attaches a value to a context [S1] to produce a context [S2] by considering the context and the value concurrently
+func ApS[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	fa ReaderIOEither[T],
+) func(ReaderIOEither[S1]) ReaderIOEither[S2] {
+	return G.ApS[ReaderIOEither[func(T) S2], ReaderIOEither[S1], ReaderIOEither[S2], ReaderIOEither[T], IOE.IOEither[error, func(T) S2], IOE.IOEither[error, S1], IOE.IOEither[error, S2], IOE.IOEither[error, T], S1, S2, T](setter, fa)
+}

context/readerioeither/bind_test.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 readerioeither
+
+import (
+	"context"
+	"testing"
+
+	E "github.com/IBM/fp-go/either"
+	F "github.com/IBM/fp-go/function"
+	"github.com/IBM/fp-go/internal/utils"
+	"github.com/stretchr/testify/assert"
+)
+
+func getLastName(s utils.Initial) ReaderIOEither[string] {
+	return Of("Doe")
+}
+
+func getGivenName(s utils.WithLastName) ReaderIOEither[string] {
+	return Of("John")
+}
+
+func TestBind(t *testing.T) {
+
+	res := F.Pipe3(
+		Do(utils.Empty),
+		Bind(utils.SetLastName, getLastName),
+		Bind(utils.SetGivenName, getGivenName),
+		Map(utils.GetFullName),
+	)
+
+	assert.Equal(t, res(context.Background())(), E.Of[error]("John Doe"))
+}
+
+func TestApS(t *testing.T) {
+
+	res := F.Pipe3(
+		Do(utils.Empty),
+		ApS(utils.SetLastName, Of("Doe")),
+		ApS(utils.SetGivenName, Of("John")),
+		Map(utils.GetFullName),
+	)
+
+	assert.Equal(t, res(context.Background())(), E.Of[error]("John Doe"))
+}

context/readerioeither/file/file_test.go

@@ -47,5 +47,5 @@ func ExampleReadFile() {
 	fmt.Println(result())
 
 	// Output:
-	// Right[<nil>, string](Carsten)
+	// Right[string](Carsten)
 }

context/readerioeither/file/write.go

@@ -26,7 +26,7 @@ import (
 func onWriteAll[W io.Writer](data []byte) func(w W) RIOE.ReaderIOEither[[]byte] {
 	return func(w W) RIOE.ReaderIOEither[[]byte] {
 		return F.Pipe1(
-			RIOE.TryCatch(func(ctx context.Context) func() ([]byte, error) {
+			RIOE.TryCatch(func(_ context.Context) func() ([]byte, error) {
 				return func() ([]byte, error) {
 					_, err := w.Write(data)
 					return data, err

context/readerioeither/generic/bind.go

@@ -0,0 +1,92 @@
+// 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"
+	A "github.com/IBM/fp-go/internal/apply"
+	C "github.com/IBM/fp-go/internal/chain"
+	F "github.com/IBM/fp-go/internal/functor"
+)
+
+// Bind creates an empty context of type [S] to be used with the [Bind] operation
+func Do[GRS ~func(context.Context) GS, GS ~func() ET.Either[error, S], S any](
+	empty S,
+) GRS {
+	return Of[GRS, GS, S](empty)
+}
+
+// Bind attaches the result of a computation to a context [S1] to produce a context [S2]
+func Bind[GRS1 ~func(context.Context) GS1, GRS2 ~func(context.Context) GS2, GRT ~func(context.Context) GT, GS1 ~func() ET.Either[error, S1], GS2 ~func() ET.Either[error, S2], GT ~func() ET.Either[error, T], S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) GRT,
+) func(GRS1) GRS2 {
+	return C.Bind(
+		Chain[GRS1, GRS2, GS1, GS2, S1, S2],
+		Map[GRT, GRS2, GT, GS2, T, S2],
+		setter,
+		f,
+	)
+}
+
+// Let attaches the result of a computation to a context [S1] to produce a context [S2]
+func Let[GRS1 ~func(context.Context) GS1, GRS2 ~func(context.Context) GS2, GS1 ~func() ET.Either[error, S1], GS2 ~func() ET.Either[error, S2], S1, S2, T any](
+	key func(T) func(S1) S2,
+	f func(S1) T,
+) func(GRS1) GRS2 {
+	return F.Let(
+		Map[GRS1, GRS2, GS1, GS2, S1, S2],
+		key,
+		f,
+	)
+}
+
+// LetTo attaches the a value to a context [S1] to produce a context [S2]
+func LetTo[GRS1 ~func(context.Context) GS1, GRS2 ~func(context.Context) GS2, GS1 ~func() ET.Either[error, S1], GS2 ~func() ET.Either[error, S2], S1, S2, B any](
+	key func(B) func(S1) S2,
+	b B,
+) func(GRS1) GRS2 {
+	return F.LetTo(
+		Map[GRS1, GRS2, GS1, GS2, S1, S2],
+		key,
+		b,
+	)
+}
+
+// BindTo initializes a new state [S1] from a value [T]
+func BindTo[GRS1 ~func(context.Context) GS1, GRT ~func(context.Context) GT, GS1 ~func() ET.Either[error, S1], GT ~func() ET.Either[error, T], S1, T any](
+	setter func(T) S1,
+) func(GRT) GRS1 {
+	return C.BindTo(
+		Map[GRT, GRS1, GT, GS1, T, S1],
+		setter,
+	)
+}
+
+// ApS attaches a value to a context [S1] to produce a context [S2] by considering the context and the value concurrently
+func ApS[GRTS1 ~func(context.Context) GTS1, GRS1 ~func(context.Context) GS1, GRS2 ~func(context.Context) GS2, GRT ~func(context.Context) GT, GTS1 ~func() ET.Either[error, func(T) S2], GS1 ~func() ET.Either[error, S1], GS2 ~func() ET.Either[error, S2], GT ~func() ET.Either[error, T], S1, S2, T any](
+	setter func(T) func(S1) S2,
+	fa GRT,
+) func(GRS1) GRS2 {
+	return A.ApS(
+		Ap[GRS2, GRTS1, GRT, GS2, GTS1, GT],
+		Map[GRS1, GRTS1, GS1, GTS1, S1, func(T) S2],
+		setter,
+		fa,
+	)
+}

context/readerioeither/generic/reader.go

@@ -182,10 +182,7 @@ func withCancelCauseFunc[
 		ma,
 		IOE.Swap[GIOA, func() E.Either[A, error]],
 		IOE.ChainFirstIOK[func() E.Either[A, error], func() any](func(err error) func() any {
-			return IO.MakeIO[func() any](func() any {
-				cancel(err)
-				return nil
-			})
+			return IO.FromImpure[func() any](func() { cancel(err) })
 		}),
 		IOE.Swap[func() E.Either[A, error], GIOA],
 	)

context/readerioeither/http/builder/builder.go

@@ -0,0 +1,72 @@
+// 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 builder
+
+import (
+	"bytes"
+	"context"
+	"net/http"
+	"strconv"
+
+	RIOE "github.com/IBM/fp-go/context/readerioeither"
+	RIOEH "github.com/IBM/fp-go/context/readerioeither/http"
+	E "github.com/IBM/fp-go/either"
+	F "github.com/IBM/fp-go/function"
+	R "github.com/IBM/fp-go/http/builder"
+	H "github.com/IBM/fp-go/http/headers"
+	LZ "github.com/IBM/fp-go/lazy"
+	O "github.com/IBM/fp-go/option"
+)
+
+func Requester(builder *R.Builder) RIOEH.Requester {
+
+	withBody := F.Curry3(func(data []byte, url string, method string) RIOE.ReaderIOEither[*http.Request] {
+		return RIOE.TryCatch(func(ctx context.Context) func() (*http.Request, error) {
+			return func() (*http.Request, error) {
+				req, err := http.NewRequestWithContext(ctx, method, url, bytes.NewReader(data))
+				if err == nil {
+					req.Header.Set(H.ContentLength, strconv.Itoa(len(data)))
+					H.Monoid.Concat(req.Header, builder.GetHeaders())
+				}
+				return req, err
+			}
+		})
+	})
+
+	withoutBody := F.Curry2(func(url string, method string) RIOE.ReaderIOEither[*http.Request] {
+		return RIOE.TryCatch(func(ctx context.Context) func() (*http.Request, error) {
+			return func() (*http.Request, error) {
+				req, err := http.NewRequestWithContext(ctx, method, url, nil)
+				if err == nil {
+					H.Monoid.Concat(req.Header, builder.GetHeaders())
+				}
+				return req, err
+			}
+		})
+	})
+
+	return F.Pipe5(
+		builder.GetBody(),
+		O.Fold(LZ.Of(E.Of[error](withoutBody)), E.Map[error](withBody)),
+		E.Ap[func(string) RIOE.ReaderIOEither[*http.Request]](builder.GetTargetURL()),
+		E.Flap[error, RIOE.ReaderIOEither[*http.Request]](builder.GetMethod()),
+		E.GetOrElse(RIOE.Left[*http.Request]),
+		RIOE.Map(func(req *http.Request) *http.Request {
+			req.Header = H.Monoid.Concat(req.Header, builder.GetHeaders())
+			return req
+		}),
+	)
+}

context/readerioeither/http/builder/builder_test.go

@@ -0,0 +1,59 @@
+// 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 builder
+
+import (
+	"context"
+	"net/http"
+	"net/url"
+	"testing"
+
+	RIOE "github.com/IBM/fp-go/context/readerioeither"
+	E "github.com/IBM/fp-go/either"
+	F "github.com/IBM/fp-go/function"
+	R "github.com/IBM/fp-go/http/builder"
+	IO "github.com/IBM/fp-go/io"
+	"github.com/stretchr/testify/assert"
+)
+
+func TestBuilderWithQuery(t *testing.T) {
+	// add some query
+	withLimit := R.WithQueryArg("limit")("10")
+	withURL := R.WithURL("http://www.example.org?a=b")
+
+	b := F.Pipe2(
+		R.Default,
+		withLimit,
+		withURL,
+	)
+
+	req := F.Pipe3(
+		b,
+		Requester,
+		RIOE.Map(func(r *http.Request) *url.URL {
+			return r.URL
+		}),
+		RIOE.ChainFirstIOK(func(u *url.URL) IO.IO[any] {
+			return IO.FromImpure(func() {
+				q := u.Query()
+				assert.Equal(t, "10", q.Get("limit"))
+				assert.Equal(t, "b", q.Get("a"))
+			})
+		}),
+	)
+
+	assert.True(t, E.IsRight(req(context.Background())()))
+}

context/readerioeither/http/request.go

@@ -26,7 +26,7 @@ import (
 	IOE "github.com/IBM/fp-go/ioeither"
 	IOEF "github.com/IBM/fp-go/ioeither/file"
 	J "github.com/IBM/fp-go/json"
-	T "github.com/IBM/fp-go/tuple"
+	P "github.com/IBM/fp-go/pair"
 )
 
 type (
@@ -79,7 +79,7 @@ func ReadFullResponse(client Client) func(Requester) RIOE.ReaderIOEither[H.FullR
 						IOE.Of[error, io.ReadCloser],
 						IOEF.ReadAll[io.ReadCloser],
 					),
-					IOE.Map[error](F.Bind1st(T.MakeTuple2[*http.Response, []byte], resp)),
+					IOE.Map[error](F.Bind1st(P.MakePair[*http.Response, []byte], resp)),
 				)
 			}),
 		)
@@ -103,16 +103,27 @@ func ReadText(client Client) func(Requester) RIOE.ReaderIOEither[string] {
 }
 
 // ReadJson sends a request, reads the response and parses the response as JSON
+//
+// Deprecated: use [ReadJSON] instead
 func ReadJson[A any](client Client) func(Requester) RIOE.ReaderIOEither[A] {
+	return ReadJSON[A](client)
+}
+
+func readJSON(client Client) func(Requester) RIOE.ReaderIOEither[[]byte] {
 	return F.Flow3(
 		ReadFullResponse(client),
 		RIOE.ChainFirstEitherK(F.Flow2(
 			H.Response,
-			H.ValidateJsonResponse,
-		)),
-		RIOE.ChainEitherK(F.Flow2(
-			H.Body,
-			J.Unmarshal[A],
+			H.ValidateJSONResponse,
 		)),
+		RIOE.Map(H.Body),
+	)
+}
+
+// ReadJSON sends a request, reads the response and parses the response as JSON
+func ReadJSON[A any](client Client) func(Requester) RIOE.ReaderIOEither[A] {
+	return F.Flow2(
+		readJSON(client),
+		RIOE.ChainEitherK(J.Unmarshal[A]),
 	)
 }

context/readerioeither/http/request_test.go

@@ -31,7 +31,7 @@ import (
 )
 
 type PostItem struct {
-	UserId uint   `json:"userId"`
+	UserID uint   `json:"userId"`
 	Id     uint   `json:"id"`
 	Title  string `json:"title"`
 	Body   string `json:"body"`
@@ -84,7 +84,7 @@ func TestSendSingleRequest(t *testing.T) {
 
 	req1 := MakeGetRequest("https://jsonplaceholder.typicode.com/posts/1")
 
-	readItem := ReadJson[PostItem](client)
+	readItem := ReadJSON[PostItem](client)
 
 	resp1 := readItem(req1)
 
@@ -112,7 +112,7 @@ func TestSendSingleRequestWithHeaderUnsafe(t *testing.T) {
 		R.Map(setHeaderUnsafe("Content-Type", "text/html")),
 	)
 
-	readItem := ReadJson[PostItem](client)
+	readItem := ReadJSON[PostItem](client)
 
 	resp1 := F.Pipe2(
 		req1,
@@ -140,7 +140,7 @@ func TestSendSingleRequestWithHeaderSafe(t *testing.T) {
 		WithHeader("Content-Type", "text/html").
 		Build()
 
-	readItem := ReadJson[PostItem](client)
+	readItem := ReadJSON[PostItem](client)
 
 	response := F.Pipe2(
 		request,

di/app.go

@@ -0,0 +1,38 @@
+// 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 di
+
+import (
+	DIE "github.com/IBM/fp-go/di/erasure"
+	F "github.com/IBM/fp-go/function"
+	IO "github.com/IBM/fp-go/io"
+	IOE "github.com/IBM/fp-go/ioeither"
+)
+
+var (
+	// InjMain is the [InjectionToken] for the main application
+	InjMain = MakeToken[any]("APP")
+
+	// Main is the resolver for the main application
+	Main = Resolve(InjMain)
+)
+
+// RunMain runs the main application from a set of [DIE.Provider]s
+var RunMain = F.Flow3(
+	DIE.MakeInjector,
+	Main,
+	IOE.Fold(IO.Of[error], F.Constant1[any](IO.Of[error](nil))),
+)

di/doc.go

@@ -0,0 +1,43 @@
+// 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 di implements functions and data types supporting dependency injection patterns
+//
+// The fundamental building block is the concept of a [Dependency]. This describes the abstract concept of a function, service or value together with its type.
+// Examples for dependencies can be as simple as configuration values such as the API URL for a service, the current username, a [Dependency] could be the map
+// of the configuration environment, an http client or as complex as a service interface. Important is that a [Dependency] only defines the concept but
+// not the implementation.
+//
+// The implementation of a [Dependency] is called a [Provider], the dependency of an `API URL` could e.g. be realized by a provider that consults the environment to read the information
+// or a config file or simply hardcode it.
+// In many cases the implementation of a [Provider] depends in turn on other [Dependency] (but never directly on other [Provider]s), a provider for an `API URL` that reads
+// the information from the environment would e.g. depend on a [Dependency] that represents this environment.
+//
+// It is the resposibility of the [InjectableFactory] to create an instance of a [Dependency]. All instances are considered singletons. Create an [InjectableFactory] via the [MakeInjector] method. Use [Resolve] to create a strongly typed
+// factory for a particular [InjectionToken].
+//
+// In most cases it is not required to use [InjectableFactory] directly, instead you would create a [Provider] via the [MakeProvider2] method (suffix indicates the number of dependencies). In this call
+// you give a number of (strongly typed) [Dependency] identifiers and a (strongly typed) factory function for the implementation. The dependency injection framework makes
+// sure to resolve the dependencies before calling the factory method.
+//
+// For convenience purposes it can be helpful to attach a default implementation of a [Dependency]. In this case use the [MakeTokenWithDefault2] method (suffix indicates the number of dependencies)
+// to define the [InjectionToken].
+//
+// [Provider]: [github.com/IBM/fp-go/di/erasure.Provider]
+// [InjectableFactory]: [github.com/IBM/fp-go/di/erasure.InjectableFactory]
+// [MakeInjector]: [github.com/IBM/fp-go/di/erasure.MakeInjector]
+package di
+
+//go:generate go run .. di --count 10 --filename gen.go

di/erasure/injector.go

@@ -7,7 +7,6 @@
 //
 // 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.
@@ -115,6 +114,9 @@ func itemProviderFactory(fcts []ProviderFactory) ProviderFactory {
 }
 
 // MakeInjector creates an [InjectableFactory] based on a set of [Provider]s
+//
+// The resulting [InjectableFactory] can then be used to retrieve service instances given their [Dependency]. The implementation
+// makes sure to transitively resolve the required dependencies.
 func MakeInjector(providers []Provider) InjectableFactory {
 
 	type Result = IOE.IOEither[error, any]
@@ -125,7 +127,7 @@ func MakeInjector(providers []Provider) InjectableFactory {
 	var resolved sync.Map
 
 	// provide a mapping for all providers
-	factoryById := assembleProviders(providers)
+	factoryByID := assembleProviders(providers)
 
 	// the actual factory, we need lazy initialization
 	var injFct InjectableFactory
@@ -147,7 +149,7 @@ func MakeInjector(providers []Provider) InjectableFactory {
 					T.Map2(F.Flow3(
 						Dependency.Id,
 						R.Lookup[ProviderFactory, string],
-						I.Ap[O.Option[ProviderFactory]](factoryById),
+						I.Ap[O.Option[ProviderFactory]](factoryByID),
 					), handleMissingProvider),
 					T.Tupled2(O.MonadGetOrElse[ProviderFactory]),
 					IG.Ap[ProviderFactory](injFct),

di/erasure/provider.go

@@ -32,6 +32,7 @@ import (
 )
 
 type (
+	// InjectableFactory is a factory function that can create an untyped instance of a service based on its [Dependency] identifier
 	InjectableFactory = func(Dependency) IOE.IOEither[error, any]
 	ProviderFactory   = func(InjectableFactory) IOE.IOEither[error, any]
 
@@ -83,6 +84,8 @@ var (
 	mergeMaps      = R.UnionLastMonoid[int, any]()
 	collectParams  = R.CollectOrd[any, any](Int.Ord)(F.SK[int, any])
 
+	mapDeps = F.Curry2(A.MonadMap[Dependency, IOE.IOEither[error, any]])
+
 	handlers = map[int]handler{
 		Identity: func(mp paramIndex) func([]IOE.IOEither[error, any]) IOE.IOEither[error, paramValue] {
 			return func(res []IOE.IOEither[error, any]) IOE.IOEither[error, paramValue] {
@@ -171,7 +174,7 @@ func MakeProviderFactory(
 	fct func(param ...any) IOE.IOEither[error, any]) ProviderFactory {
 
 	return F.Flow3(
-		F.Curry2(A.MonadMap[Dependency, IOE.IOEither[error, any]])(deps),
+		mapDeps(deps),
 		handleMapping(foldDeps(deps)),
 		IOE.Chain(F.Unvariadic0(fct)),
 	)

di/injector.go

@@ -7,7 +7,6 @@
 //
 // 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.

di/provider.go

@@ -12,6 +12,7 @@
 // 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 di
 
 import (
@@ -21,7 +22,6 @@ import (
 	"github.com/IBM/fp-go/errors"
 	F "github.com/IBM/fp-go/function"
 	IOE "github.com/IBM/fp-go/ioeither"
-	T "github.com/IBM/fp-go/tuple"
 )
 
 func lookupAt[T any](idx int, token Dependency[T]) func(params []any) E.Either[error, T] {
@@ -32,89 +32,25 @@ func lookupAt[T any](idx int, token Dependency[T]) func(params []any) E.Either[e
 	)
 }
 
-func eraseProviderFactory0[R any](f func() IOE.IOEither[error, R]) func(params ...any) IOE.IOEither[error, any] {
-	return func(params ...any) IOE.IOEither[error, any] {
+func eraseTuple[A, R any](f func(A) IOE.IOEither[error, R]) func(E.Either[error, A]) IOE.IOEither[error, any] {
+	return F.Flow3(
+		IOE.FromEither[error, A],
+		IOE.Chain(f),
+		IOE.Map[error](F.ToAny[R]),
+	)
+}
+
+func eraseProviderFactory0[R any](f IOE.IOEither[error, R]) func(params ...any) IOE.IOEither[error, any] {
+	return func(_ ...any) IOE.IOEither[error, any] {
 		return F.Pipe1(
-			f(),
-			IOE.Map[error](F.ToAny[R]),
-		)
-	}
-}
-
-func eraseProviderFactory1[T1 any, R any](
-	d1 Dependency[T1],
-	f func(T1) IOE.IOEither[error, R]) func(params ...any) IOE.IOEither[error, any] {
-	ft := T.Tupled1(f)
-	t1 := lookupAt[T1](0, d1)
-	return func(params ...any) IOE.IOEither[error, any] {
-		return F.Pipe3(
-			E.SequenceT1(t1(params)),
-			IOE.FromEither[error, T.Tuple1[T1]],
-			IOE.Chain(ft),
-			IOE.Map[error](F.ToAny[R]),
-		)
-	}
-}
-
-func eraseProviderFactory2[T1, T2 any, R any](
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	f func(T1, T2) IOE.IOEither[error, R]) func(params ...any) IOE.IOEither[error, any] {
-	ft := T.Tupled2(f)
-	t1 := lookupAt[T1](0, d1)
-	t2 := lookupAt[T2](1, d2)
-	return func(params ...any) IOE.IOEither[error, any] {
-		return F.Pipe3(
-			E.SequenceT2(t1(params), t2(params)),
-			IOE.FromEither[error, T.Tuple2[T1, T2]],
-			IOE.Chain(ft),
-			IOE.Map[error](F.ToAny[R]),
-		)
-	}
-}
-
-func eraseProviderFactory3[T1, T2, T3 any, R any](
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	d3 Dependency[T3],
-	f func(T1, T2, T3) IOE.IOEither[error, R]) func(params ...any) IOE.IOEither[error, any] {
-	ft := T.Tupled3(f)
-	t1 := lookupAt[T1](0, d1)
-	t2 := lookupAt[T2](1, d2)
-	t3 := lookupAt[T3](2, d3)
-	return func(params ...any) IOE.IOEither[error, any] {
-		return F.Pipe3(
-			E.SequenceT3(t1(params), t2(params), t3(params)),
-			IOE.FromEither[error, T.Tuple3[T1, T2, T3]],
-			IOE.Chain(ft),
-			IOE.Map[error](F.ToAny[R]),
-		)
-	}
-}
-
-func eraseProviderFactory4[T1, T2, T3, T4 any, R any](
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	d3 Dependency[T3],
-	d4 Dependency[T4],
-	f func(T1, T2, T3, T4) IOE.IOEither[error, R]) func(params ...any) IOE.IOEither[error, any] {
-	ft := T.Tupled4(f)
-	t1 := lookupAt[T1](0, d1)
-	t2 := lookupAt[T2](1, d2)
-	t3 := lookupAt[T3](2, d3)
-	t4 := lookupAt[T4](3, d4)
-	return func(params ...any) IOE.IOEither[error, any] {
-		return F.Pipe3(
-			E.SequenceT4(t1(params), t2(params), t3(params), t4(params)),
-			IOE.FromEither[error, T.Tuple4[T1, T2, T3, T4]],
-			IOE.Chain(ft),
+			f,
 			IOE.Map[error](F.ToAny[R]),
 		)
 	}
 }
 
 func MakeProviderFactory0[R any](
-	fct func() IOE.IOEither[error, R],
+	fct IOE.IOEither[error, R],
 ) DIE.ProviderFactory {
 	return DIE.MakeProviderFactory(
 		A.Empty[DIE.Dependency](),
@@ -122,14 +58,14 @@ func MakeProviderFactory0[R any](
 	)
 }
 
-// MakeTokenWithDefault0 create a unique `InjectionToken` for a specific type with an attached default provider
-func MakeTokenWithDefault0[R any](name string, fct func() IOE.IOEither[error, R]) InjectionToken[R] {
+// MakeTokenWithDefault0 creates a unique [InjectionToken] for a specific type with an attached default [DIE.Provider]
+func MakeTokenWithDefault0[R any](name string, fct IOE.IOEither[error, R]) InjectionToken[R] {
 	return MakeTokenWithDefault[R](name, MakeProviderFactory0(fct))
 }
 
 func MakeProvider0[R any](
 	token InjectionToken[R],
-	fct func() IOE.IOEither[error, R],
+	fct IOE.IOEither[error, R],
 ) DIE.Provider {
 	return DIE.MakeProvider(
 		token,
@@ -137,145 +73,7 @@ func MakeProvider0[R any](
 	)
 }
 
-func MakeProviderFactory1[T1, R any](
-	d1 Dependency[T1],
-	fct func(T1) IOE.IOEither[error, R],
-) DIE.ProviderFactory {
-
-	return DIE.MakeProviderFactory(
-		A.From[DIE.Dependency](d1),
-		eraseProviderFactory1(d1, fct),
-	)
-}
-
-// MakeTokenWithDefault1 create a unique `InjectionToken` for a specific type with an attached default provider
-func MakeTokenWithDefault1[T1, R any](name string,
-	d1 Dependency[T1],
-	fct func(T1) IOE.IOEither[error, R]) InjectionToken[R] {
-	return MakeTokenWithDefault[R](name, MakeProviderFactory1(d1, fct))
-}
-
-func MakeProvider1[T1, R any](
-	token InjectionToken[R],
-	d1 Dependency[T1],
-	fct func(T1) IOE.IOEither[error, R],
-) DIE.Provider {
-
-	return DIE.MakeProvider(
-		token,
-		MakeProviderFactory1(d1, fct),
-	)
-}
-
-func MakeProviderFactory2[T1, T2, R any](
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	fct func(T1, T2) IOE.IOEither[error, R],
-) DIE.ProviderFactory {
-
-	return DIE.MakeProviderFactory(
-		A.From[DIE.Dependency](d1, d2),
-		eraseProviderFactory2(d1, d2, fct),
-	)
-}
-
-// MakeTokenWithDefault2 create a unique `InjectionToken` for a specific type with an attached default provider
-func MakeTokenWithDefault2[T1, T2, R any](name string,
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	fct func(T1, T2) IOE.IOEither[error, R]) InjectionToken[R] {
-	return MakeTokenWithDefault[R](name, MakeProviderFactory2(d1, d2, fct))
-}
-
-func MakeProvider2[T1, T2, R any](
-	token InjectionToken[R],
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	fct func(T1, T2) IOE.IOEither[error, R],
-) DIE.Provider {
-
-	return DIE.MakeProvider(
-		token,
-		MakeProviderFactory2(d1, d2, fct),
-	)
-}
-
-func MakeProviderFactory3[T1, T2, T3, R any](
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	d3 Dependency[T3],
-	fct func(T1, T2, T3) IOE.IOEither[error, R],
-) DIE.ProviderFactory {
-
-	return DIE.MakeProviderFactory(
-		A.From[DIE.Dependency](d1, d2, d3),
-		eraseProviderFactory3(d1, d2, d3, fct),
-	)
-}
-
-// MakeTokenWithDefault3 create a unique `InjectionToken` for a specific type with an attached default provider
-func MakeTokenWithDefault3[T1, T2, T3, R any](name string,
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	d3 Dependency[T3],
-	fct func(T1, T2, T3) IOE.IOEither[error, R]) InjectionToken[R] {
-	return MakeTokenWithDefault[R](name, MakeProviderFactory3(d1, d2, d3, fct))
-}
-
-func MakeProvider3[T1, T2, T3, R any](
-	token InjectionToken[R],
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	d3 Dependency[T3],
-	fct func(T1, T2, T3) IOE.IOEither[error, R],
-) DIE.Provider {
-
-	return DIE.MakeProvider(
-		token,
-		MakeProviderFactory3(d1, d2, d3, fct),
-	)
-}
-
-func MakeProviderFactory4[T1, T2, T3, T4, R any](
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	d3 Dependency[T3],
-	d4 Dependency[T4],
-	fct func(T1, T2, T3, T4) IOE.IOEither[error, R],
-) DIE.ProviderFactory {
-
-	return DIE.MakeProviderFactory(
-		A.From[DIE.Dependency](d1, d2, d3, d4),
-		eraseProviderFactory4(d1, d2, d3, d4, fct),
-	)
-}
-
-// MakeTokenWithDefault4 create a unique `InjectionToken` for a specific type with an attached default provider
-func MakeTokenWithDefault4[T1, T2, T3, T4, R any](name string,
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	d3 Dependency[T3],
-	d4 Dependency[T4],
-	fct func(T1, T2, T3, T4) IOE.IOEither[error, R]) InjectionToken[R] {
-	return MakeTokenWithDefault[R](name, MakeProviderFactory4(d1, d2, d3, d4, fct))
-}
-
-func MakeProvider4[T1, T2, T3, T4, R any](
-	token InjectionToken[R],
-	d1 Dependency[T1],
-	d2 Dependency[T2],
-	d3 Dependency[T3],
-	d4 Dependency[T4],
-	fct func(T1, T2, T3, T4) IOE.IOEither[error, R],
-) DIE.Provider {
-
-	return DIE.MakeProvider(
-		token,
-		MakeProviderFactory4(d1, d2, d3, d4, fct),
-	)
-}
-
 // ConstProvider simple implementation for a provider with a constant value
 func ConstProvider[R any](token InjectionToken[R], value R) DIE.Provider {
-	return MakeProvider0[R](token, F.Constant(IOE.Of[error](value)))
+	return MakeProvider0[R](token, IOE.Of[error](value))
 }

di/provider_test.go

@@ -12,6 +12,7 @@
 // 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 di
 
 import (
@@ -38,12 +39,10 @@ func TestSimpleProvider(t *testing.T) {
 
 	var staticCount int
 
-	staticValue := func(value string) func() IOE.IOEither[error, string] {
-		return func() IOE.IOEither[error, string] {
-			return func() E.Either[error, string] {
-				staticCount++
-				return E.Of[error](fmt.Sprintf("Static based on [%s], at [%s]", value, time.Now()))
-			}
+	staticValue := func(value string) IOE.IOEither[error, string] {
+		return func() E.Either[error, string] {
+			staticCount++
+			return E.Of[error](fmt.Sprintf("Static based on [%s], at [%s]", value, time.Now()))
 		}
 	}
 
@@ -82,12 +81,10 @@ func TestOptionalProvider(t *testing.T) {
 
 	var staticCount int
 
-	staticValue := func(value string) func() IOE.IOEither[error, string] {
-		return func() IOE.IOEither[error, string] {
-			return func() E.Either[error, string] {
-				staticCount++
-				return E.Of[error](fmt.Sprintf("Static based on [%s], at [%s]", value, time.Now()))
-			}
+	staticValue := func(value string) IOE.IOEither[error, string] {
+		return func() E.Either[error, string] {
+			staticCount++
+			return E.Of[error](fmt.Sprintf("Static based on [%s], at [%s]", value, time.Now()))
 		}
 	}
 
@@ -182,12 +179,10 @@ func TestEagerAndLazyProvider(t *testing.T) {
 
 	var staticCount int
 
-	staticValue := func(value string) func() IOE.IOEither[error, string] {
-		return func() IOE.IOEither[error, string] {
-			return func() E.Either[error, string] {
-				staticCount++
-				return E.Of[error](fmt.Sprintf("Static based on [%s], at [%s]", value, time.Now()))
-			}
+	staticValue := func(value string) IOE.IOEither[error, string] {
+		return func() E.Either[error, string] {
+			staticCount++
+			return E.Of[error](fmt.Sprintf("Static based on [%s], at [%s]", value, time.Now()))
 		}
 	}
 
@@ -307,7 +302,7 @@ func TestTokenWithDefaultProvider(t *testing.T) {
 	// token without a default
 	injToken1 := MakeToken[string]("Token1")
 	// token with a default
-	injToken2 := MakeTokenWithDefault0("Token2", F.Constant(IOE.Of[error]("Carsten")))
+	injToken2 := MakeTokenWithDefault0("Token2", IOE.Of[error]("Carsten"))
 	// dependency
 	injToken3 := MakeToken[string]("Token3")
 
@@ -330,7 +325,7 @@ func TestTokenWithDefaultProvider(t *testing.T) {
 
 func TestTokenWithDefaultProviderAndOverride(t *testing.T) {
 	// token with a default
-	injToken2 := MakeTokenWithDefault0("Token2", F.Constant(IOE.Of[error]("Carsten")))
+	injToken2 := MakeTokenWithDefault0("Token2", IOE.Of[error]("Carsten"))
 	// dependency
 	injToken3 := MakeToken[string]("Token3")
 

di/token.go

@@ -42,20 +42,21 @@ type InjectionToken[T any] interface {
 	// Identity idenifies this dependency as a mandatory, required dependency, it will be resolved eagerly and injected as `T`.
 	// If the dependency cannot be resolved, the resolution process fails
 	Identity() Dependency[T]
-	// Option identifies this dependency as optional, it will be resolved eagerly and injected as `O.Option[T]`.
-	// If the dependency cannot be resolved, the resolution process continues and the dependency is represented as `O.None[T]`
+	// Option identifies this dependency as optional, it will be resolved eagerly and injected as [O.Option[T]].
+	// If the dependency cannot be resolved, the resolution process continues and the dependency is represented as [O.None[T]]
 	Option() Dependency[O.Option[T]]
-	// IOEither identifies this dependency as mandatory but it will be resolved lazily as a `IOE.IOEither[error, T]`. This
+	// IOEither identifies this dependency as mandatory but it will be resolved lazily as a [IOE.IOEither[error, T]]. This
 	// value is memoized to make sure the dependency is a singleton.
 	// If the dependency cannot be resolved, the resolution process fails
 	IOEither() Dependency[IOE.IOEither[error, T]]
-	// IOOption identifies this dependency as optional but it will be resolved lazily as a `IOO.IOOption[T]`. This
+	// IOOption identifies this dependency as optional but it will be resolved lazily as a [IOO.IOOption[T]]. This
 	// value is memoized to make sure the dependency is a singleton.
 	// If the dependency cannot be resolved, the resolution process continues and the dependency is represented as the none value.
 	IOOption() Dependency[IOO.IOOption[T]]
 }
 
-// MultiInjectionToken uniquely identifies a dependency by giving it an Id, Type and name.
+// MultiInjectionToken uniquely identifies a dependency by giving it an Id, Type and name that can have multiple implementations.
+// Implementations are provided via the [MultiInjectionToken.Item] injection token.
 type MultiInjectionToken[T any] interface {
 	// Container returns the injection token used to request an array of all provided items
 	Container() InjectionToken[[]T]
@@ -64,34 +65,38 @@ type MultiInjectionToken[T any] interface {
 }
 
 // makeID creates a generator of unique string IDs
-func makeId() IO.IO[string] {
+func makeID() IO.IO[string] {
 	var count atomic.Int64
 	return IO.MakeIO(func() string {
 		return strconv.FormatInt(count.Add(1), 16)
 	})
 }
 
-// genId is the common generator of unique string IDs
-var genId = makeId()
+// genID is the common generator of unique string IDs
+var genID = makeID()
 
-type token[T any] struct {
+type tokenBase struct {
 	name            string
 	id              string
 	flag            int
-	toType          func(val any) E.Either[error, T]
 	providerFactory O.Option[DIE.ProviderFactory]
 }
 
+type token[T any] struct {
+	base   *tokenBase
+	toType func(val any) E.Either[error, T]
+}
+
 func (t *token[T]) Id() string {
-	return t.id
+	return t.base.id
 }
 
 func (t *token[T]) Flag() int {
-	return t.flag
+	return t.base.flag
 }
 
 func (t *token[T]) String() string {
-	return t.name
+	return t.base.name
 }
 
 func (t *token[T]) Unerase(val any) E.Either[error, T] {
@@ -99,11 +104,14 @@ func (t *token[T]) Unerase(val any) E.Either[error, T] {
 }
 
 func (t *token[T]) ProviderFactory() O.Option[DIE.ProviderFactory] {
-	return t.providerFactory
+	return t.base.providerFactory
+}
+func makeTokenBase(name string, id string, typ int, providerFactory O.Option[DIE.ProviderFactory]) *tokenBase {
+	return &tokenBase{name, id, typ, providerFactory}
 }
 
 func makeToken[T any](name string, id string, typ int, unerase func(val any) E.Either[error, T], providerFactory O.Option[DIE.ProviderFactory]) Dependency[T] {
-	return &token[T]{name, id, typ, unerase, providerFactory}
+	return &token[T]{makeTokenBase(name, id, typ, providerFactory), unerase}
 }
 
 type injectionToken[T any] struct {
@@ -135,7 +143,7 @@ func (i *injectionToken[T]) IOOption() Dependency[IOO.IOOption[T]] {
 }
 
 func (i *injectionToken[T]) ProviderFactory() O.Option[DIE.ProviderFactory] {
-	return i.providerFactory
+	return i.base.providerFactory
 }
 
 func (m *multiInjectionToken[T]) Container() InjectionToken[[]T] {
@@ -146,31 +154,31 @@ func (m *multiInjectionToken[T]) Item() InjectionToken[T] {
 	return m.item
 }
 
-// makeToken create a unique `InjectionToken` for a specific type
+// makeToken create a unique [InjectionToken] for a specific type
 func makeInjectionToken[T any](name string, providerFactory O.Option[DIE.ProviderFactory]) InjectionToken[T] {
-	id := genId()
+	id := genID()
 	toIdentity := toType[T]()
 	return &injectionToken[T]{
-		token[T]{name, id, DIE.Identity, toIdentity, providerFactory},
+		token[T]{makeTokenBase(name, id, DIE.Identity, providerFactory), toIdentity},
 		makeToken[O.Option[T]](fmt.Sprintf("Option[%s]", name), id, DIE.Option, toOptionType(toIdentity), providerFactory),
 		makeToken[IOE.IOEither[error, T]](fmt.Sprintf("IOEither[%s]", name), id, DIE.IOEither, toIOEitherType(toIdentity), providerFactory),
 		makeToken[IOO.IOOption[T]](fmt.Sprintf("IOOption[%s]", name), id, DIE.IOOption, toIOOptionType(toIdentity), providerFactory),
 	}
 }
 
-// MakeToken create a unique `InjectionToken` for a specific type
+// MakeToken create a unique [InjectionToken] for a specific type
 func MakeToken[T any](name string) InjectionToken[T] {
 	return makeInjectionToken[T](name, O.None[DIE.ProviderFactory]())
 }
 
-// MakeToken create a unique `InjectionToken` for a specific type
+// MakeToken create a unique [InjectionToken] for a specific type
 func MakeTokenWithDefault[T any](name string, providerFactory DIE.ProviderFactory) InjectionToken[T] {
 	return makeInjectionToken[T](name, O.Of(providerFactory))
 }
 
 // MakeMultiToken creates a [MultiInjectionToken]
 func MakeMultiToken[T any](name string) MultiInjectionToken[T] {
-	id := genId()
+	id := genID()
 	toItem := toType[T]()
 	toContainer := toArrayType(toItem)
 	containerName := fmt.Sprintf("Container[%s]", name)
@@ -179,14 +187,14 @@ func MakeMultiToken[T any](name string) MultiInjectionToken[T] {
 	providerFactory := O.None[DIE.ProviderFactory]()
 	// container
 	container := &injectionToken[[]T]{
-		token[[]T]{containerName, id, DIE.Multi | DIE.Identity, toContainer, providerFactory},
+		token[[]T]{makeTokenBase(containerName, id, DIE.Multi|DIE.Identity, providerFactory), toContainer},
 		makeToken[O.Option[[]T]](fmt.Sprintf("Option[%s]", containerName), id, DIE.Multi|DIE.Option, toOptionType(toContainer), providerFactory),
 		makeToken[IOE.IOEither[error, []T]](fmt.Sprintf("IOEither[%s]", containerName), id, DIE.Multi|DIE.IOEither, toIOEitherType(toContainer), providerFactory),
 		makeToken[IOO.IOOption[[]T]](fmt.Sprintf("IOOption[%s]", containerName), id, DIE.Multi|DIE.IOOption, toIOOptionType(toContainer), providerFactory),
 	}
 	// item
 	item := &injectionToken[T]{
-		token[T]{itemName, id, DIE.Item | DIE.Identity, toItem, providerFactory},
+		token[T]{makeTokenBase(itemName, id, DIE.Item|DIE.Identity, providerFactory), toItem},
 		makeToken[O.Option[T]](fmt.Sprintf("Option[%s]", itemName), id, DIE.Item|DIE.Option, toOptionType(toItem), providerFactory),
 		makeToken[IOE.IOEither[error, T]](fmt.Sprintf("IOEither[%s]", itemName), id, DIE.Item|DIE.IOEither, toIOEitherType(toItem), providerFactory),
 		makeToken[IOO.IOOption[T]](fmt.Sprintf("IOOption[%s]", itemName), id, DIE.Item|DIE.IOOption, toIOOptionType(toItem), providerFactory),

di/utils.go

@@ -12,6 +12,7 @@
 // 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 di
 
 import (
@@ -24,6 +25,13 @@ import (
 	O "github.com/IBM/fp-go/option"
 )
 
+var (
+	toOptionAny   = toType[O.Option[any]]()
+	toIOEitherAny = toType[IOE.IOEither[error, any]]()
+	toIOOptionAny = toType[IOO.IOOption[any]]()
+	toArrayAny    = toType[[]any]()
+)
+
 // asDependency converts a generic type to a [DIE.Dependency]
 func asDependency[T DIE.Dependency](t T) DIE.Dependency {
 	return t
@@ -37,7 +45,7 @@ func toType[T any]() func(t any) E.Either[error, T] {
 // toOptionType converts an any to an Option[any] and then to an Option[T]
 func toOptionType[T any](item func(any) E.Either[error, T]) func(t any) E.Either[error, O.Option[T]] {
 	return F.Flow2(
-		toType[O.Option[any]](),
+		toOptionAny,
 		E.Chain(O.Fold(
 			F.Nullary2(O.None[T], E.Of[error, O.Option[T]]),
 			F.Flow2(
@@ -51,7 +59,7 @@ func toOptionType[T any](item func(any) E.Either[error, T]) func(t any) E.Either
 // toIOEitherType converts an any to an IOEither[error, any] and then to an IOEither[error, T]
 func toIOEitherType[T any](item func(any) E.Either[error, T]) func(t any) E.Either[error, IOE.IOEither[error, T]] {
 	return F.Flow2(
-		toType[IOE.IOEither[error, any]](),
+		toIOEitherAny,
 		E.Map[error](IOE.ChainEitherK(item)),
 	)
 }
@@ -59,7 +67,7 @@ func toIOEitherType[T any](item func(any) E.Either[error, T]) func(t any) E.Eith
 // toIOOptionType converts an any to an IOOption[any] and then to an IOOption[T]
 func toIOOptionType[T any](item func(any) E.Either[error, T]) func(t any) E.Either[error, IOO.IOOption[T]] {
 	return F.Flow2(
-		toType[IOO.IOOption[any]](),
+		toIOOptionAny,
 		E.Map[error](IOO.ChainOptionK(F.Flow2(
 			item,
 			E.ToOption[error, T],
@@ -70,7 +78,7 @@ func toIOOptionType[T any](item func(any) E.Either[error, T]) func(t any) E.Eith
 // toArrayType converts an any to a []T
 func toArrayType[T any](item func(any) E.Either[error, T]) func(t any) E.Either[error, []T] {
 	return F.Flow2(
-		toType[[]any](),
+		toArrayAny,
 		E.Chain(E.TraverseArray(item)),
 	)
 }

di/utils_test.go

@@ -12,6 +12,7 @@
 // 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 di
 
 import (

either/bind.go

@@ -0,0 +1,89 @@
+// 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 either
+
+import (
+	A "github.com/IBM/fp-go/internal/apply"
+	C "github.com/IBM/fp-go/internal/chain"
+	F "github.com/IBM/fp-go/internal/functor"
+)
+
+// Bind creates an empty context of type [S] to be used with the [Bind] operation
+func Do[E, S any](
+	empty S,
+) Either[E, S] {
+	return Of[E](empty)
+}
+
+// Bind attaches the result of a computation to a context [S1] to produce a context [S2]
+func Bind[E, S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) Either[E, T],
+) func(Either[E, S1]) Either[E, S2] {
+	return C.Bind(
+		Chain[E, S1, S2],
+		Map[E, T, S2],
+		setter,
+		f,
+	)
+}
+
+// Let attaches the result of a computation to a context [S1] to produce a context [S2]
+func Let[E, S1, S2, T any](
+	key func(T) func(S1) S2,
+	f func(S1) T,
+) func(Either[E, S1]) Either[E, S2] {
+	return F.Let(
+		Map[E, S1, S2],
+		key,
+		f,
+	)
+}
+
+// LetTo attaches the a value to a context [S1] to produce a context [S2]
+func LetTo[E, S1, S2, T any](
+	key func(T) func(S1) S2,
+	b T,
+) func(Either[E, S1]) Either[E, S2] {
+	return F.LetTo(
+		Map[E, S1, S2],
+		key,
+		b,
+	)
+}
+
+// BindTo initializes a new state [S1] from a value [T]
+func BindTo[E, S1, T any](
+	setter func(T) S1,
+) func(Either[E, T]) Either[E, S1] {
+	return C.BindTo(
+		Map[E, T, S1],
+		setter,
+	)
+}
+
+// ApS attaches a value to a context [S1] to produce a context [S2] by considering the context and the value concurrently
+func ApS[E, S1, S2, T any](
+	setter func(T) func(S1) S2,
+	fa Either[E, T],
+) func(Either[E, S1]) Either[E, S2] {
+	return A.ApS(
+		Ap[S2, E, T],
+		Map[E, S1, func(T) S2],
+		setter,
+		fa,
+	)
+}

either/bind_test.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 either
+
+import (
+	"testing"
+
+	F "github.com/IBM/fp-go/function"
+	"github.com/IBM/fp-go/internal/utils"
+	"github.com/stretchr/testify/assert"
+)
+
+func getLastName(s utils.Initial) Either[error, string] {
+	return Of[error]("Doe")
+}
+
+func getGivenName(s utils.WithLastName) Either[error, string] {
+	return Of[error]("John")
+}
+
+func TestBind(t *testing.T) {
+
+	res := F.Pipe3(
+		Do[error](utils.Empty),
+		Bind(utils.SetLastName, getLastName),
+		Bind(utils.SetGivenName, getGivenName),
+		Map[error](utils.GetFullName),
+	)
+
+	assert.Equal(t, res, Of[error]("John Doe"))
+}
+
+func TestApS(t *testing.T) {
+
+	res := F.Pipe3(
+		Do[error](utils.Empty),
+		ApS(utils.SetLastName, Of[error]("Doe")),
+		ApS(utils.SetGivenName, Of[error]("John")),
+		Map[error](utils.GetFullName),
+	)
+
+	assert.Equal(t, res, Of[error]("John Doe"))
+}

either/core.go

@@ -20,30 +20,45 @@ import (
 )
 
 type (
-	// Either defines a data structure that logically holds either an E or an A. The flag discriminates the cases
-	Either[E, A any] struct {
+	either struct {
 		isLeft bool
-		left   E
-		right  A
+		value  any
 	}
+
+	// Either defines a data structure that logically holds either an E or an A. The flag discriminates the cases
+	Either[E, A any] either
 )
 
 // String prints some debug info for the object
-func (s Either[E, A]) String() string {
+//
+// go:noinline
+func eitherString(s *either) string {
 	if s.isLeft {
-		return fmt.Sprintf("Left[%T, %T](%v)", s.left, s.right, s.left)
+		return fmt.Sprintf("Left[%T](%v)", s.value, s.value)
 	}
-	return fmt.Sprintf("Right[%T, %T](%v)", s.left, s.right, s.right)
+	return fmt.Sprintf("Right[%T](%v)", s.value, s.value)
+}
+
+// Format prints some debug info for the object
+//
+// go:noinline
+func eitherFormat(e *either, f fmt.State, c rune) {
+	switch c {
+	case 's':
+		fmt.Fprint(f, eitherString(e))
+	default:
+		fmt.Fprint(f, eitherString(e))
+	}
+}
+
+// String prints some debug info for the object
+func (s Either[E, A]) String() string {
+	return eitherString((*either)(&s))
 }
 
 // Format prints some debug info for the object
 func (s Either[E, A]) Format(f fmt.State, c rune) {
-	switch c {
-	case 's':
-		fmt.Fprint(f, s.String())
-	default:
-		fmt.Fprint(f, s.String())
-	}
+	eitherFormat((*either)(&s), f, c)
 }
 
 // IsLeft tests if the [Either] is a left value. Rather use [Fold] if you need to access the values. Inverse is [IsRight].
@@ -58,23 +73,29 @@ func IsRight[E, A any](val Either[E, A]) bool {
 
 // Left creates a new instance of an [Either] representing the left value.
 func Left[A, E any](value E) Either[E, A] {
-	return Either[E, A]{isLeft: true, left: value}
+	return Either[E, A]{true, value}
 }
 
 // Right creates a new instance of an [Either] representing the right value.
 func Right[E, A any](value A) Either[E, A] {
-	return Either[E, A]{isLeft: false, right: value}
+	return Either[E, A]{false, value}
 }
 
 // MonadFold extracts the values from an [Either] by invoking the [onLeft] callback or the [onRight] callback depending on the case
 func MonadFold[E, A, B any](ma Either[E, A], onLeft func(e E) B, onRight func(a A) B) B {
 	if ma.isLeft {
-		return onLeft(ma.left)
+		return onLeft(ma.value.(E))
 	}
-	return onRight(ma.right)
+	return onRight(ma.value.(A))
 }
 
 // Unwrap converts an [Either] into the idiomatic tuple
 func Unwrap[E, A any](ma Either[E, A]) (A, E) {
-	return ma.right, ma.left
+	if ma.isLeft {
+		var a A
+		return a, ma.value.(E)
+	} else {
+		var e E
+		return ma.value.(A), e
+	}
 }

either/either.go

@@ -22,6 +22,7 @@ package either
 import (
 	E "github.com/IBM/fp-go/errors"
 	F "github.com/IBM/fp-go/function"
+	C "github.com/IBM/fp-go/internal/chain"
 	FC "github.com/IBM/fp-go/internal/functor"
 	L "github.com/IBM/fp-go/lazy"
 	O "github.com/IBM/fp-go/option"
@@ -64,19 +65,20 @@ func MonadMapTo[E, A, B any](fa Either[E, A], b B) Either[E, B] {
 }
 
 func MapTo[E, A, B any](b B) func(Either[E, A]) Either[E, B] {
-	return F.Bind2nd(MonadMapTo[E, A, B], b)
+	return Map[E](F.Constant1[A](b))
 }
 
-func MonadMapLeft[E, A, B any](fa Either[E, A], f func(E) B) Either[B, A] {
-	return MonadFold(fa, F.Flow2(f, Left[A, B]), Right[B, A])
+func MonadMapLeft[E1, A, E2 any](fa Either[E1, A], f func(E1) E2) Either[E2, A] {
+	return MonadFold(fa, F.Flow2(f, Left[A, E2]), Right[E2, A])
 }
 
 func Map[E, A, B any](f func(a A) B) func(fa Either[E, A]) Either[E, B] {
 	return Chain(F.Flow2(f, Right[E, B]))
 }
 
-func MapLeft[E, A, B any](f func(E) B) func(fa Either[E, A]) Either[B, A] {
-	return F.Bind2nd(MonadMapLeft[E, A, B], f)
+// MapLeft applies a mapping function to the error channel
+func MapLeft[A, E1, E2 any](f func(E1) E2) func(fa Either[E1, A]) Either[E2, A] {
+	return Fold(F.Flow2(f, Left[A, E2]), Right[E2, A])
 }
 
 func MonadChain[E, A, B any](fa Either[E, A], f func(a A) Either[E, B]) Either[E, B] {
@@ -84,12 +86,15 @@ func MonadChain[E, A, B any](fa Either[E, A], f func(a A) Either[E, B]) Either[E
 }
 
 func MonadChainFirst[E, A, B any](ma Either[E, A], f func(a A) Either[E, B]) Either[E, A] {
-	return MonadChain(ma, func(a A) Either[E, A] {
-		return MonadMap(f(a), F.Constant1[B](a))
-	})
+	return C.MonadChainFirst(
+		MonadChain[E, A, A],
+		MonadMap[E, B, A],
+		ma,
+		f,
+	)
 }
 
-func MonadChainTo[A, E, B any](ma Either[E, A], mb Either[E, B]) Either[E, B] {
+func MonadChainTo[A, E, B any](_ Either[E, A], mb Either[E, B]) Either[E, B] {
 	return mb
 }
 
@@ -105,15 +110,19 @@ func ChainOptionK[A, B, E any](onNone func() E) func(func(A) O.Option[B]) func(E
 }
 
 func ChainTo[A, E, B any](mb Either[E, B]) func(Either[E, A]) Either[E, B] {
-	return F.Bind2nd(MonadChainTo[A, E, B], mb)
+	return F.Constant1[Either[E, A]](mb)
 }
 
 func Chain[E, A, B any](f func(a A) Either[E, B]) func(Either[E, A]) Either[E, B] {
-	return F.Bind2nd(MonadChain[E, A, B], f)
+	return Fold(Left[B, E], f)
 }
 
 func ChainFirst[E, A, B any](f func(a A) Either[E, B]) func(Either[E, A]) Either[E, A] {
-	return F.Bind2nd(MonadChainFirst[E, A, B], f)
+	return C.ChainFirst(
+		Chain[E, A, A],
+		Map[E, B, A],
+		f,
+	)
 }
 
 func Flatten[E, A any](mma Either[E, Either[E, A]]) Either[E, A] {
@@ -250,7 +259,7 @@ func MonadFlap[E, B, A any](fab Either[E, func(A) B], a A) Either[E, B] {
 }
 
 func Flap[E, B, A any](a A) func(Either[E, func(A) B]) Either[E, B] {
-	return F.Bind2nd(MonadFlap[E, B, A], a)
+	return FC.Flap(Map[E, func(A) B, B], a)
 }
 
 func MonadAlt[E, A any](fa Either[E, A], that L.Lazy[Either[E, A]]) Either[E, A] {

either/either_test.go

@@ -17,6 +17,7 @@ package either
 
 import (
 	"errors"
+	"fmt"
 	"testing"
 
 	F "github.com/IBM/fp-go/function"
@@ -26,12 +27,6 @@ import (
 	"github.com/stretchr/testify/assert"
 )
 
-func TestDefault(t *testing.T) {
-	var e Either[error, string]
-
-	assert.Equal(t, Of[error](""), e)
-}
-
 func TestIsLeft(t *testing.T) {
 	err := errors.New("Some error")
 	withError := Left[string](err)
@@ -115,3 +110,13 @@ func TestFromOption(t *testing.T) {
 	assert.Equal(t, Left[int]("none"), FromOption[int](F.Constant("none"))(O.None[int]()))
 	assert.Equal(t, Right[string](1), FromOption[int](F.Constant("none"))(O.Some(1)))
 }
+
+func TestStringer(t *testing.T) {
+	e := Of[error]("foo")
+	exp := "Right[string](foo)"
+
+	assert.Equal(t, exp, e.String())
+
+	var s fmt.Stringer = e
+	assert.Equal(t, exp, s.String())
+}

either/eq.go

@@ -34,7 +34,7 @@ func Eq[E, A any](e EQ.Eq[E], a EQ.Eq[A]) EQ.Eq[Either[E, A]] {
 	return EQ.FromEquals(F.Uncurry2(fld))
 }
 
-// FromStrictEquals constructs an `Eq` from the canonical comparison function
+// FromStrictEquals constructs an [EQ.Eq] from the canonical comparison function
 func FromStrictEquals[E, A comparable]() EQ.Eq[Either[E, A]] {
 	return Eq(EQ.FromStrictEquals[E](), EQ.FromStrictEquals[A]())
 }

either/examples_create_test.go

@@ -48,11 +48,11 @@ func ExampleEither_creation() {
 	fmt.Println(rightFromPred)
 
 	// Output:
-	// Left[*errors.errorString, string](some error)
-	// Right[<nil>, string](value)
-	// Left[*errors.errorString, *string](value was nil)
+	// Left[*errors.errorString](some error)
+	// Right[string](value)
+	// Left[*errors.errorString](value was nil)
 	// true
-	// Left[*errors.errorString, int](3 is an odd number)
-	// Right[<nil>, int](4)
+	// Left[*errors.errorString](3 is an odd number)
+	// Right[int](4)
 
 }

either/examples_extract_test.go

@@ -53,8 +53,8 @@ func ExampleEither_extraction() {
 	fmt.Println(doubleFromRightBis)
 
 	// Output:
-	// Left[*errors.errorString, int](Division by Zero!)
-	// Right[<nil>, int](10)
+	// Left[*errors.errorString](Division by Zero!)
+	// Right[int](10)
 	// 0
 	// 10
 	// 0

either/monad.go

@@ -0,0 +1,43 @@
+// Copyright (c) 2024 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 either
+
+import (
+	"github.com/IBM/fp-go/internal/monad"
+)
+
+type eitherMonad[E, A, B any] struct{}
+
+func (o *eitherMonad[E, A, B]) Of(a A) Either[E, A] {
+	return Of[E, A](a)
+}
+
+func (o *eitherMonad[E, A, B]) Map(f func(A) B) func(Either[E, A]) Either[E, B] {
+	return Map[E, A, B](f)
+}
+
+func (o *eitherMonad[E, A, B]) Chain(f func(A) Either[E, B]) func(Either[E, A]) Either[E, B] {
+	return Chain[E, A, B](f)
+}
+
+func (o *eitherMonad[E, A, B]) Ap(fa Either[E, A]) func(Either[E, func(A) B]) Either[E, B] {
+	return Ap[B, E, A](fa)
+}
+
+// Monad implements the monadic operations for [Either]
+func Monad[E, A, B any]() monad.Monad[A, B, Either[E, A], Either[E, B], Either[E, func(A) B]] {
+	return &eitherMonad[E, A, B]{}
+}

either/traverse.go

@@ -19,38 +19,17 @@ import (
 	F "github.com/IBM/fp-go/function"
 )
 
-/*
-*
-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<Either[B]>
-HKTA = HKT<A>
-HKTB = HKT<B>
-*/
-func traverse[E, A, B, HKTB, HKTRB any](
-	mof func(Either[E, B]) HKTRB,
-	mmap func(func(B) Either[E, B]) func(HKTB) HKTRB,
-) func(Either[E, A], func(A) HKTB) HKTRB {
-
-	left := F.Flow2(Left[B, E], mof)
-	right := mmap(Right[E, B])
-
-	return func(ta Either[E, A], f func(A) HKTB) HKTRB {
-		return MonadFold(ta,
-			left,
-			F.Flow2(f, right),
-		)
-	}
-}
-
 // Traverse converts an [Either] of some higher kinded type into the higher kinded type of an [Either]
 func Traverse[A, E, B, HKTB, HKTRB any](
 	mof func(Either[E, B]) HKTRB,
 	mmap func(func(B) Either[E, B]) func(HKTB) HKTRB,
 ) func(func(A) HKTB) func(Either[E, A]) HKTRB {
-	delegate := traverse[E, A, B](mof, mmap)
+
+	left := F.Flow2(Left[B, E], mof)
+	right := mmap(Right[E, B])
+
 	return func(f func(A) HKTB) func(Either[E, A]) HKTRB {
-		return F.Bind2nd(delegate, f)
+		return Fold(left, F.Flow2(f, right))
 	}
 }
 

endomorphism/endo.go

@@ -27,34 +27,10 @@ func Ap[A any](fa A) func(Endomorphism[A]) A {
 	return G.Ap[Endomorphism[A]](fa)
 }
 
-func MonadFlap[A any](fab Endomorphism[A], a A) A {
-	return G.MonadFlap[Endomorphism[A]](fab, a)
-}
-
-func Flap[A any](a A) func(Endomorphism[A]) A {
-	return G.Flap[Endomorphism[A]](a)
-}
-
-func MonadMap[A any](fa A, f Endomorphism[A]) A {
-	return G.MonadMap[Endomorphism[A]](fa, f)
-}
-
-func Map[A any](f Endomorphism[A]) Endomorphism[A] {
-	return G.Map[Endomorphism[A]](f)
-}
-
-func MonadChain[A any](ma A, f Endomorphism[A]) A {
+func MonadChain[A any](ma Endomorphism[A], f Endomorphism[A]) Endomorphism[A] {
 	return G.MonadChain[Endomorphism[A]](ma, f)
 }
 
-func Chain[A any](f Endomorphism[A]) Endomorphism[A] {
-	return G.Chain[Endomorphism[A], A](f)
-}
-
-func MonadChainFirst[A any](fa A, f Endomorphism[A]) A {
-	return G.MonadChainFirst[Endomorphism[A]](fa, f)
-}
-
-func ChainFirst[A any](f Endomorphism[A]) Endomorphism[A] {
-	return G.ChainFirst[Endomorphism[A]](f)
+func Chain[A any](f Endomorphism[A]) Endomorphism[Endomorphism[A]] {
+	return G.Chain[Endomorphism[Endomorphism[A]], Endomorphism[A], A](f)
 }

endomorphism/generic/endo.go

@@ -16,6 +16,7 @@
 package generic
 
 import (
+	F "github.com/IBM/fp-go/function"
 	I "github.com/IBM/fp-go/identity/generic"
 )
 
@@ -27,34 +28,10 @@ func Ap[GA ~func(A) A, A any](fa A) func(GA) A {
 	return I.Ap[GA, A, A](fa)
 }
 
-func MonadFlap[GA ~func(A) A, A any](fab GA, a A) A {
-	return I.MonadFlap[GA, A, A](fab, a)
+func MonadChain[GA ~func(A) A, A any](ma GA, f GA) GA {
+	return Compose(ma, f)
 }
 
-func Flap[GA ~func(A) A, A any](a A) func(GA) A {
-	return I.Flap[GA, A, A](a)
-}
-
-func MonadMap[GA ~func(A) A, A any](fa A, f GA) A {
-	return I.MonadMap[GA, A, A](fa, f)
-}
-
-func Map[GA ~func(A) A, A any](f GA) GA {
-	return I.Map[GA, A, A](f)
-}
-
-func MonadChain[GA ~func(A) A, A any](ma A, f GA) A {
-	return I.MonadChain[GA, A, A](ma, f)
-}
-
-func Chain[GA ~func(A) A, A any](f GA) GA {
-	return I.Chain[GA, A](f)
-}
-
-func MonadChainFirst[GA ~func(A) A, A any](fa A, f GA) A {
-	return I.MonadChainFirst[GA, A, A](fa, f)
-}
-
-func ChainFirst[GA ~func(A) A, A any](f GA) GA {
-	return I.ChainFirst[GA, A, A](f)
+func Chain[ENDO ~func(GA) GA, GA ~func(A) A, A any](f GA) ENDO {
+	return Of[ENDO](F.Bind2nd(Compose[GA], f))
 }

endomorphism/generic/monoid.go

@@ -28,6 +28,16 @@ func Of[ENDO ~func(A) A, F ~func(A) A, A any](f F) ENDO {
 	}
 }
 
+// Wrap converts any function to an [Endomorphism]
+func Wrap[ENDO ~func(A) A, F ~func(A) A, A any](f F) ENDO {
+	return Of[ENDO](f)
+}
+
+// Unwrap converts any [Endomorphism] to a normal function
+func Unwrap[F ~func(A) A, ENDO ~func(A) A, A any](f ENDO) F {
+	return Of[F](f)
+}
+
 func Identity[ENDO ~func(A) A, A any]() ENDO {
 	return Of[ENDO](F.Identity[A])
 }

endomorphism/monoid.go

@@ -29,6 +29,16 @@ func Of[F ~func(A) A, A any](f F) Endomorphism[A] {
 	return G.Of[Endomorphism[A]](f)
 }
 
+// Wrap converts any function to an [Endomorphism]
+func Wrap[F ~func(A) A, A any](f F) Endomorphism[A] {
+	return G.Wrap[Endomorphism[A]](f)
+}
+
+// Unwrap converts any [Endomorphism] to a function
+func Unwrap[F ~func(A) A, A any](f Endomorphism[A]) F {
+	return G.Unwrap[F](f)
+}
+
 // Identity returns the identity [Endomorphism]
 func Identity[A any]() Endomorphism[A] {
 	return G.Identity[Endomorphism[A]]()

eq/eq.go

@@ -27,20 +27,20 @@ type eq[T any] struct {
 	c func(x, y T) bool
 }
 
-func (self eq[T]) Equals(x, y T) bool {
-	return self.c(x, y)
+func (e eq[T]) Equals(x, y T) bool {
+	return e.c(x, y)
 }
 
 func strictEq[A comparable](a, b A) bool {
 	return a == b
 }
 
-// FromStrictEquals constructs an `Eq` from the canonical comparison function
+// FromStrictEquals constructs an [EQ.Eq] from the canonical comparison function
 func FromStrictEquals[T comparable]() Eq[T] {
 	return FromEquals(strictEq[T])
 }
 
-// FromEquals constructs an `Eq` from the comparison function
+// FromEquals constructs an [EQ.Eq] from the comparison function
 func FromEquals[T any](c func(x, y T) bool) Eq[T] {
 	return eq[T]{c: c}
 }

exec/exec.go

@@ -16,18 +16,18 @@
 package exec
 
 import (
-	T "github.com/IBM/fp-go/tuple"
+	P "github.com/IBM/fp-go/pair"
 )
 
 type (
 	// CommandOutput represents the output of executing a command. The first field in the [Tuple2] is
 	// stdout, the second one is stderr. Use [StdOut] and [StdErr] to access these fields
-	CommandOutput = T.Tuple2[[]byte, []byte]
+	CommandOutput = P.Pair[[]byte, []byte]
 )
 
 var (
 	// StdOut returns the field of a [CommandOutput] representing `stdout`
-	StdOut = T.First[[]byte, []byte]
+	StdOut = P.Head[[]byte, []byte]
 	// StdErr returns the field of a [CommandOutput] representing `stderr`
-	StdErr = T.Second[[]byte, []byte]
+	StdErr = P.Tail[[]byte, []byte]
 )

function/binds.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-12-18 09:38:59.1616876 +0100 CET m=+0.008641801
+// 2024-01-31 21:45:01.6437619 +0100 CET m=+0.032758901
 
 package function
 

function/cache.go

@@ -25,6 +25,17 @@ func Memoize[K comparable, T any](f func(K) T) func(K) T {
 }
 
 // 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 {
+func ContramapMemoize[T, A any, K comparable](kf func(A) K) func(func(A) T) func(A) T {
 	return G.ContramapMemoize[func(A) T](kf)
 }
+
+// CacheCallback converts a unary function into a unary function that caches the value depending on the parameter
+func CacheCallback[
+	T, A any, K comparable](kf func(A) K, getOrCreate func(K, func() func() T) func() T) func(func(A) T) func(A) T {
+	return G.CacheCallback[func(func(A) T) func(A) T](kf, getOrCreate)
+}
+
+// SingleElementCache creates a cache function for use with the [CacheCallback] method that has a maximum capacity of one single item
+func SingleElementCache[K comparable, T any]() func(K, func() func() T) func() T {
+	return G.SingleElementCache[func() func() T, K]()
+}

function/cache_test.go

@@ -16,6 +16,8 @@
 package function
 
 import (
+	"fmt"
+	"math/rand"
 	"testing"
 
 	"github.com/stretchr/testify/assert"
@@ -48,3 +50,21 @@ func TestCache(t *testing.T) {
 	assert.Equal(t, 10, cached(10))
 	assert.Equal(t, 2, count)
 }
+
+func TestSingleElementCache(t *testing.T) {
+	f := func(key string) string {
+		return fmt.Sprintf("%s: %d", key, rand.Int())
+	}
+	cb := CacheCallback(func(s string) string { return s }, SingleElementCache[string, string]())
+	cf := cb(f)
+
+	v1 := cf("1")
+	v2 := cf("1")
+	v3 := cf("2")
+	v4 := cf("1")
+
+	assert.Equal(t, v1, v2)
+	assert.NotEqual(t, v2, v3)
+	assert.NotEqual(t, v3, v4)
+	assert.NotEqual(t, v1, v4)
+}

function/gen.go

@@ -1,6 +1,6 @@
 // Code generated by go generate; DO NOT EDIT.
 // This file was generated by robots at
-// 2023-12-18 09:38:51.4946446 +0100 CET m=+0.008838401
+// 2024-01-31 21:44:55.7538323 +0100 CET m=+0.013067701
 
 package function
 
@@ -34,8 +34,7 @@ func Unsliced0[F ~func([]T) R, T, R any](f F) func() R {
 // 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 {
-	t1 := f1(t0)
-	return t1
+	return f1(t0)
 }
 
 // Flow1 creates a function that takes an initial value t0 and successively applies 1 functions where the input of a function is the return value of the previous function
@@ -93,9 +92,7 @@ func Unsliced1[F ~func([]T) R, T, R any](f F) func(T) R {
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	return t2
+	return f2(f1(t0))
 }
 
 // Flow2 creates a function that takes an initial value t0 and successively applies 2 functions where the input of a function is the return value of the previous function
@@ -155,10 +152,7 @@ func Unsliced2[F ~func([]T) R, T, R any](f F) func(T, T) R {
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	return t3
+	return f3(f2(f1(t0)))
 }
 
 // Flow3 creates a function that takes an initial value t0 and successively applies 3 functions where the input of a function is the return value of the previous function
@@ -220,11 +214,7 @@ func Unsliced3[F ~func([]T) R, T, R any](f F) func(T, T, T) R {
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	return t4
+	return f4(f3(f2(f1(t0))))
 }
 
 // Flow4 creates a function that takes an initial value t0 and successively applies 4 functions where the input of a function is the return value of the previous function
@@ -288,12 +278,7 @@ func Unsliced4[F ~func([]T) R, T, R any](f F) func(T, T, T, T) R {
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	return t5
+	return f5(f4(f3(f2(f1(t0)))))
 }
 
 // Flow5 creates a function that takes an initial value t0 and successively applies 5 functions where the input of a function is the return value of the previous function
@@ -359,13 +344,7 @@ func Unsliced5[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T) R {
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	return t6
+	return f6(f5(f4(f3(f2(f1(t0))))))
 }
 
 // Flow6 creates a function that takes an initial value t0 and successively applies 6 functions where the input of a function is the return value of the previous function
@@ -433,14 +412,7 @@ func Unsliced6[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T) R {
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	return t7
+	return f7(f6(f5(f4(f3(f2(f1(t0)))))))
 }
 
 // Flow7 creates a function that takes an initial value t0 and successively applies 7 functions where the input of a function is the return value of the previous function
@@ -510,15 +482,7 @@ func Unsliced7[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T) R {
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	return t8
+	return f8(f7(f6(f5(f4(f3(f2(f1(t0))))))))
 }
 
 // Flow8 creates a function that takes an initial value t0 and successively applies 8 functions where the input of a function is the return value of the previous function
@@ -590,16 +554,7 @@ func Unsliced8[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T) R {
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	return t9
+	return f9(f8(f7(f6(f5(f4(f3(f2(f1(t0)))))))))
 }
 
 // Flow9 creates a function that takes an initial value t0 and successively applies 9 functions where the input of a function is the return value of the previous function
@@ -673,17 +628,7 @@ func Unsliced9[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T) R
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	return t10
+	return f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0))))))))))
 }
 
 // Flow10 creates a function that takes an initial value t0 and successively applies 10 functions where the input of a function is the return value of the previous function
@@ -759,18 +704,7 @@ func Unsliced10[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	return t11
+	return f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0)))))))))))
 }
 
 // Flow11 creates a function that takes an initial value t0 and successively applies 11 functions where the input of a function is the return value of the previous function
@@ -848,19 +782,7 @@ func Unsliced11[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	return t12
+	return f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0))))))))))))
 }
 
 // Flow12 creates a function that takes an initial value t0 and successively applies 12 functions where the input of a function is the return value of the previous function
@@ -940,20 +862,7 @@ func Unsliced12[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	t13 := f13(t12)
-	return t13
+	return f13(f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0)))))))))))))
 }
 
 // Flow13 creates a function that takes an initial value t0 and successively applies 13 functions where the input of a function is the return value of the previous function
@@ -1035,21 +944,7 @@ func Unsliced13[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	t13 := f13(t12)
-	t14 := f14(t13)
-	return t14
+	return f14(f13(f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0))))))))))))))
 }
 
 // Flow14 creates a function that takes an initial value t0 and successively applies 14 functions where the input of a function is the return value of the previous function
@@ -1133,22 +1028,7 @@ func Unsliced14[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	t13 := f13(t12)
-	t14 := f14(t13)
-	t15 := f15(t14)
-	return t15
+	return f15(f14(f13(f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0)))))))))))))))
 }
 
 // Flow15 creates a function that takes an initial value t0 and successively applies 15 functions where the input of a function is the return value of the previous function
@@ -1234,23 +1114,7 @@ func Unsliced15[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	t13 := f13(t12)
-	t14 := f14(t13)
-	t15 := f15(t14)
-	t16 := f16(t15)
-	return t16
+	return f16(f15(f14(f13(f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0))))))))))))))))
 }
 
 // Flow16 creates a function that takes an initial value t0 and successively applies 16 functions where the input of a function is the return value of the previous function
@@ -1338,24 +1202,7 @@ func Unsliced16[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	t13 := f13(t12)
-	t14 := f14(t13)
-	t15 := f15(t14)
-	t16 := f16(t15)
-	t17 := f17(t16)
-	return t17
+	return f17(f16(f15(f14(f13(f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0)))))))))))))))))
 }
 
 // Flow17 creates a function that takes an initial value t0 and successively applies 17 functions where the input of a function is the return value of the previous function
@@ -1445,25 +1292,7 @@ func Unsliced17[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	t13 := f13(t12)
-	t14 := f14(t13)
-	t15 := f15(t14)
-	t16 := f16(t15)
-	t17 := f17(t16)
-	t18 := f18(t17)
-	return t18
+	return f18(f17(f16(f15(f14(f13(f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0))))))))))))))))))
 }
 
 // Flow18 creates a function that takes an initial value t0 and successively applies 18 functions where the input of a function is the return value of the previous function
@@ -1555,26 +1384,7 @@ func Unsliced18[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	t13 := f13(t12)
-	t14 := f14(t13)
-	t15 := f15(t14)
-	t16 := f16(t15)
-	t17 := f17(t16)
-	t18 := f18(t17)
-	t19 := f19(t18)
-	return t19
+	return f19(f18(f17(f16(f15(f14(f13(f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0)))))))))))))))))))
 }
 
 // Flow19 creates a function that takes an initial value t0 and successively applies 19 functions where the input of a function is the return value of the previous function
@@ -1668,27 +1478,7 @@ func Unsliced19[F ~func([]T) R, T, R any](f F) func(T, T, T, T, T, T, T, T, T, T
 // 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 {
-	t1 := f1(t0)
-	t2 := f2(t1)
-	t3 := f3(t2)
-	t4 := f4(t3)
-	t5 := f5(t4)
-	t6 := f6(t5)
-	t7 := f7(t6)
-	t8 := f8(t7)
-	t9 := f9(t8)
-	t10 := f10(t9)
-	t11 := f11(t10)
-	t12 := f12(t11)
-	t13 := f13(t12)
-	t14 := f14(t13)
-	t15 := f15(t14)
-	t16 := f16(t15)
-	t17 := f17(t16)
-	t18 := f18(t17)
-	t19 := f19(t18)
-	t20 := f20(t19)
-	return t20
+	return f20(f19(f18(f17(f16(f15(f14(f13(f12(f11(f10(f9(f8(f7(f6(f5(f4(f3(f2(f1(t0))))))))))))))))))))
 }
 
 // Flow20 creates a function that takes an initial value t0 and successively applies 20 functions where the input of a function is the return value of the previous function

function/generic/cache.go

@@ -28,7 +28,7 @@ func Memoize[F ~func(K) T, K comparable, T any](f 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]())
+	return CacheCallback[func(F) F, func() func() T](kf, getOrCreate[K, T]())
 }
 
 // getOrCreate is a naive implementation of a cache, without bounds
@@ -50,13 +50,51 @@ func getOrCreate[K comparable, T any]() func(K, func() func() T) func() T {
 	}
 }
 
+// SingleElementCache is a cache with a capacity of a single element
+func SingleElementCache[
+	LLT ~func() LT, // generator of the generator
+	K comparable, // key into the cache
+	LT ~func() T, // generator of a value
+	T any, // the cached data type
+]() func(K, LLT) LT {
+	var l sync.Mutex
+
+	var key K
+	var value LT
+	hasKey := false
+
+	return func(k K, gen LLT) LT {
+		l.Lock()
+
+		existing := value
+		if !hasKey || key != k {
+			existing = gen()
+			// update state
+			key = k
+			value = existing
+			hasKey = true
+		}
+
+		l.Unlock()
+
+		return existing
+	}
+}
+
 // CacheCallback converts a unary function into a unary function that caches the value depending on the parameter
-func CacheCallback[F ~func(A) T, KF func(A) K, C ~func(K, func() func() T) func() T, A any, K comparable, T any](kf KF, getOrCreate C) func(F) F {
+func CacheCallback[
+	EM ~func(F) F, // endomorphism of the function
+	LLT ~func() LT, // generator of the generator
+	LT ~func() T, // generator of a value
+	F ~func(A) T, // function to actually cache
+	KF func(A) K, // extracts the cache key from the input
+	C ~func(K, LLT) LT, // the cache callback function
+	A any, K comparable, T any](kf KF, getOrCreate C) EM {
 	return func(f F) F {
 		return func(a A) T {
 			// cache entry
-			return getOrCreate(kf(a), func() func() T {
-				return L.Memoize[func() T](func() T {
+			return getOrCreate(kf(a), func() LT {
+				return L.Memoize[LT](func() T {
 					return f(a)
 				})
 			})()

go.mod

@@ -4,7 +4,7 @@ go 1.20
 
 require (
 	github.com/stretchr/testify v1.8.4
-	github.com/urfave/cli/v2 v2.26.0
+	github.com/urfave/cli/v2 v2.27.1
 )
 
 require (
@@ -12,6 +12,6 @@ require (
 	github.com/davecgh/go-spew v1.1.1 // indirect
 	github.com/pmezard/go-difflib v1.0.0 // indirect
 	github.com/russross/blackfriday/v2 v2.1.0 // indirect
-	github.com/xrash/smetrics v0.0.0-20201216005158-039620a65673 // indirect
+	github.com/xrash/smetrics v0.0.0-20231213231151-1d8dd44e695e // indirect
 	gopkg.in/yaml.v3 v3.0.1 // indirect
 )

go.sum

@@ -8,12 +8,10 @@ github.com/russross/blackfriday/v2 v2.1.0 h1:JIOH55/0cWyOuilr9/qlrm0BSXldqnqwMsf
 github.com/russross/blackfriday/v2 v2.1.0/go.mod h1:+Rmxgy9KzJVeS9/2gXHxylqXiyQDYRxCVz55jmeOWTM=
 github.com/stretchr/testify v1.8.4 h1:CcVxjf3Q8PM0mHUKJCdn+eZZtm5yQwehR5yeSVQQcUk=
 github.com/stretchr/testify v1.8.4/go.mod h1:sz/lmYIOXD/1dqDmKjjqLyZ2RngseejIcXlSw2iwfAo=
-github.com/urfave/cli/v2 v2.25.7 h1:VAzn5oq403l5pHjc4OhD54+XGO9cdKVL/7lDjF+iKUs=
-github.com/urfave/cli/v2 v2.25.7/go.mod h1:8qnjx1vcq5s2/wpsqoZFndg2CE5tNFyrTvS6SinrnYQ=
-github.com/urfave/cli/v2 v2.26.0 h1:3f3AMg3HpThFNT4I++TKOejZO8yU55t3JnnSr4S4QEI=
-github.com/urfave/cli/v2 v2.26.0/go.mod h1:8qnjx1vcq5s2/wpsqoZFndg2CE5tNFyrTvS6SinrnYQ=
-github.com/xrash/smetrics v0.0.0-20201216005158-039620a65673 h1:bAn7/zixMGCfxrRTfdpNzjtPYqr8smhKouy9mxVdGPU=
-github.com/xrash/smetrics v0.0.0-20201216005158-039620a65673/go.mod h1:N3UwUGtsrSj3ccvlPHLoLsHnpR27oXr4ZE984MbSER8=
+github.com/urfave/cli/v2 v2.27.1 h1:8xSQ6szndafKVRmfyeUMxkNUJQMjL1F2zmsZ+qHpfho=
+github.com/urfave/cli/v2 v2.27.1/go.mod h1:8qnjx1vcq5s2/wpsqoZFndg2CE5tNFyrTvS6SinrnYQ=
+github.com/xrash/smetrics v0.0.0-20231213231151-1d8dd44e695e h1:+SOyEddqYF09QP7vr7CgJ1eti3pY9Fn3LHO1M1r/0sI=
+github.com/xrash/smetrics v0.0.0-20231213231151-1d8dd44e695e/go.mod h1:N3UwUGtsrSj3ccvlPHLoLsHnpR27oXr4ZE984MbSER8=
 gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405 h1:yhCVgyC4o1eVCa2tZl7eS0r+SDo693bJlVdllGtEeKM=
 gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
 gopkg.in/yaml.v3 v3.0.1 h1:fxVm/GzAzEWqLHuvctI91KS9hhNmmWOoWu0XTYJS7CA=

http/builder/builder.go

@@ -0,0 +1,387 @@
+// 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 builder
+
+import (
+	"bytes"
+	"crypto/sha256"
+	"fmt"
+	"net/http"
+	"net/url"
+
+	A "github.com/IBM/fp-go/array"
+	B "github.com/IBM/fp-go/bytes"
+	E "github.com/IBM/fp-go/either"
+	ENDO "github.com/IBM/fp-go/endomorphism"
+	F "github.com/IBM/fp-go/function"
+	C "github.com/IBM/fp-go/http/content"
+	FM "github.com/IBM/fp-go/http/form"
+	H "github.com/IBM/fp-go/http/headers"
+	J "github.com/IBM/fp-go/json"
+	LZ "github.com/IBM/fp-go/lazy"
+	L "github.com/IBM/fp-go/optics/lens"
+	O "github.com/IBM/fp-go/option"
+	R "github.com/IBM/fp-go/record"
+	S "github.com/IBM/fp-go/string"
+	T "github.com/IBM/fp-go/tuple"
+)
+
+type (
+	Builder struct {
+		method  O.Option[string]
+		url     string
+		headers http.Header
+		body    O.Option[E.Either[error, []byte]]
+		query   url.Values
+	}
+
+	// Endomorphism returns an [ENDO.Endomorphism] that transforms a builder
+	Endomorphism = ENDO.Endomorphism[*Builder]
+)
+
+var (
+	// Default is the default builder
+	Default = &Builder{method: O.Some(defaultMethod()), headers: make(http.Header), body: noBody}
+
+	defaultMethod = F.Constant(http.MethodGet)
+
+	// Monoid is the [M.Monoid] for the [Endomorphism]
+	Monoid = ENDO.Monoid[*Builder]()
+
+	// Url is a [L.Lens] for the URL
+	//
+	// Deprecated: use [URL] instead
+	Url = L.MakeLensRef((*Builder).GetURL, (*Builder).SetURL)
+	// URL is a [L.Lens] for the URL
+	URL = L.MakeLensRef((*Builder).GetURL, (*Builder).SetURL)
+	// Method is a [L.Lens] for the HTTP method
+	Method = L.MakeLensRef((*Builder).GetMethod, (*Builder).SetMethod)
+	// Body is a [L.Lens] for the request body
+	Body = L.MakeLensRef((*Builder).GetBody, (*Builder).SetBody)
+	// Headers is a [L.Lens] for the complete set of request headers
+	Headers = L.MakeLensRef((*Builder).GetHeaders, (*Builder).SetHeaders)
+	// Query is a [L.Lens] for the set of query parameters
+	Query = L.MakeLensRef((*Builder).GetQuery, (*Builder).SetQuery)
+
+	rawQuery = L.MakeLensRef(getRawQuery, setRawQuery)
+
+	getHeader = F.Bind2of2((*Builder).GetHeader)
+	delHeader = F.Bind2of2((*Builder).DelHeader)
+	setHeader = F.Bind2of3((*Builder).SetHeader)
+
+	noHeader   = O.None[string]()
+	noBody     = O.None[E.Either[error, []byte]]()
+	noQueryArg = O.None[string]()
+
+	parseURL   = E.Eitherize1(url.Parse)
+	parseQuery = E.Eitherize1(url.ParseQuery)
+
+	// WithQuery creates a [Endomorphism] for a complete set of query parameters
+	WithQuery = Query.Set
+	// WithMethod creates a [Endomorphism] for a certain method
+	WithMethod = Method.Set
+	// WithUrl creates a [Endomorphism] for the URL
+	//
+	// Deprecated: use [WithURL] instead
+	WithUrl = URL.Set
+	// WithURL creates a [Endomorphism] for the URL
+	WithURL = URL.Set
+	// WithHeaders creates a [Endomorphism] for a set of headers
+	WithHeaders = Headers.Set
+	// WithBody creates a [Endomorphism] for a request body
+	WithBody = F.Flow2(
+		O.Of[E.Either[error, []byte]],
+		Body.Set,
+	)
+	// WithBytes creates a [Endomorphism] for a request body using bytes
+	WithBytes = F.Flow2(
+		E.Of[error, []byte],
+		WithBody,
+	)
+	// WithContentType adds the [H.ContentType] header
+	WithContentType = WithHeader(H.ContentType)
+	// WithAuthorization adds the [H.Authorization] header
+	WithAuthorization = WithHeader(H.Authorization)
+
+	// WithGet adds the [http.MethodGet] method
+	WithGet = WithMethod(http.MethodGet)
+	// WithPost adds the [http.MethodPost] method
+	WithPost = WithMethod(http.MethodPost)
+	// WithPut adds the [http.MethodPut] method
+	WithPut = WithMethod(http.MethodPut)
+	// WithDelete adds the [http.MethodDelete] method
+	WithDelete = WithMethod(http.MethodDelete)
+
+	// WithBearer creates a [Endomorphism] to add a Bearer [H.Authorization] header
+	WithBearer = F.Flow2(
+		S.Format[string]("Bearer %s"),
+		WithAuthorization,
+	)
+
+	// WithoutBody creates a [Endomorphism] to remove the body
+	WithoutBody = F.Pipe1(
+		noBody,
+		Body.Set,
+	)
+
+	// WithFormData creates a [Endomorphism] to send form data payload
+	WithFormData = F.Flow4(
+		url.Values.Encode,
+		S.ToBytes,
+		WithBytes,
+		ENDO.Chain(WithContentType(C.FormEncoded)),
+	)
+
+	// bodyAsBytes returns a []byte with a fallback to the empty array
+	bodyAsBytes = O.Fold(B.Empty, E.Fold(F.Ignore1of1[error](B.Empty), F.Identity[[]byte]))
+)
+
+func setRawQuery(u *url.URL, raw string) *url.URL {
+	u.RawQuery = raw
+	return u
+}
+
+func getRawQuery(u *url.URL) string {
+	return u.RawQuery
+}
+
+func (builder *Builder) clone() *Builder {
+	cpy := *builder
+	cpy.headers = cpy.headers.Clone()
+	return &cpy
+}
+
+// GetTargetUrl constructs a full URL with query parameters on top of the provided URL string
+//
+// Deprecated: use [GetTargetURL] instead
+func (builder *Builder) GetTargetUrl() E.Either[error, string] {
+	return builder.GetTargetURL()
+}
+
+// GetTargetURL constructs a full URL with query parameters on top of the provided URL string
+func (builder *Builder) GetTargetURL() E.Either[error, string] {
+	// construct the final URL
+	return F.Pipe3(
+		builder,
+		Url.Get,
+		parseURL,
+		E.Chain(F.Flow4(
+			T.Replicate2[*url.URL],
+			T.Map2(
+				F.Flow2(
+					F.Curry2(setRawQuery),
+					E.Of[error, func(string) *url.URL],
+				),
+				F.Flow3(
+					rawQuery.Get,
+					parseQuery,
+					E.Map[error](F.Flow2(
+						F.Curry2(FM.ValuesMonoid.Concat)(builder.GetQuery()),
+						(url.Values).Encode,
+					)),
+				),
+			),
+			T.Tupled2(E.MonadAp[*url.URL, error, string]),
+			E.Map[error]((*url.URL).String),
+		)),
+	)
+}
+
+// Deprecated: use [GetURL] instead
+func (builder *Builder) GetUrl() string {
+	return builder.url
+}
+
+func (builder *Builder) GetURL() string {
+	return builder.url
+}
+
+func (builder *Builder) GetMethod() string {
+	return F.Pipe1(
+		builder.method,
+		O.GetOrElse(defaultMethod),
+	)
+}
+
+func (builder *Builder) GetHeaders() http.Header {
+	return builder.headers
+}
+
+func (builder *Builder) GetQuery() url.Values {
+	return builder.query
+}
+
+func (builder *Builder) SetQuery(query url.Values) *Builder {
+	builder.query = query
+	return builder
+}
+
+func (builder *Builder) GetBody() O.Option[E.Either[error, []byte]] {
+	return builder.body
+}
+
+func (builder *Builder) SetMethod(method string) *Builder {
+	builder.method = O.Some(method)
+	return builder
+}
+
+// Deprecated: use [SetURL] instead
+func (builder *Builder) SetUrl(url string) *Builder {
+	builder.url = url
+	return builder
+}
+
+func (builder *Builder) SetURL(url string) *Builder {
+	builder.url = url
+	return builder
+}
+
+func (builder *Builder) SetHeaders(headers http.Header) *Builder {
+	builder.headers = headers
+	return builder
+}
+
+func (builder *Builder) SetBody(body O.Option[E.Either[error, []byte]]) *Builder {
+	builder.body = body
+	return builder
+}
+
+func (builder *Builder) SetHeader(name, value string) *Builder {
+	builder.headers.Set(name, value)
+	return builder
+}
+
+func (builder *Builder) DelHeader(name string) *Builder {
+	builder.headers.Del(name)
+	return builder
+}
+
+func (builder *Builder) GetHeader(name string) O.Option[string] {
+	return F.Pipe2(
+		name,
+		builder.headers.Get,
+		O.FromPredicate(S.IsNonEmpty),
+	)
+}
+
+func (builder *Builder) GetHeaderValues(name string) []string {
+	return builder.headers.Values(name)
+}
+
+// GetHash returns a hash value for the builder that can be used as a cache key
+func (builder *Builder) GetHash() string {
+	return MakeHash(builder)
+}
+
+// Header returns a [L.Lens] for a single header
+func Header(name string) L.Lens[*Builder, O.Option[string]] {
+	get := getHeader(name)
+	set := F.Bind1of2(setHeader(name))
+	del := F.Flow2(
+		LZ.Of[*Builder],
+		LZ.Map(delHeader(name)),
+	)
+
+	return L.MakeLens(get, func(b *Builder, value O.Option[string]) *Builder {
+		cpy := b.clone()
+		return F.Pipe1(
+			value,
+			O.Fold(del(cpy), set(cpy)),
+		)
+	})
+}
+
+// WithHeader creates a [Endomorphism] for a certain header
+func WithHeader(name string) func(value string) Endomorphism {
+	return F.Flow2(
+		O.Of[string],
+		Header(name).Set,
+	)
+}
+
+// WithoutHeader creates a [Endomorphism] to remove a certain header
+func WithoutHeader(name string) Endomorphism {
+	return Header(name).Set(noHeader)
+}
+
+// WithJson creates a [Endomorphism] to send JSON payload
+//
+// Deprecated: use [WithJSON] instead
+func WithJson[T any](data T) Endomorphism {
+	return WithJSON[T](data)
+}
+
+// WithJSON creates a [Endomorphism] to send JSON payload
+func WithJSON[T any](data T) Endomorphism {
+	return Monoid.Concat(
+		F.Pipe2(
+			data,
+			J.Marshal[T],
+			WithBody,
+		),
+		WithContentType(C.JSON),
+	)
+}
+
+// QueryArg is a [L.Lens] for the first value of a query argument
+func QueryArg(name string) L.Lens[*Builder, O.Option[string]] {
+	return F.Pipe1(
+		Query,
+		L.Compose[*Builder](FM.AtValue(name)),
+	)
+}
+
+// WithQueryArg creates a [Endomorphism] for a certain query argument
+func WithQueryArg(name string) func(value string) Endomorphism {
+	return F.Flow2(
+		O.Of[string],
+		QueryArg(name).Set,
+	)
+}
+
+// WithoutQueryArg creates a [Endomorphism] that removes a query argument
+func WithoutQueryArg(name string) Endomorphism {
+	return QueryArg(name).Set(noQueryArg)
+}
+
+func hashWriteValue(buf *bytes.Buffer, value string) *bytes.Buffer {
+	buf.WriteString(value)
+	return buf
+}
+
+func hashWriteQuery(name string, buf *bytes.Buffer, values []string) *bytes.Buffer {
+	buf.WriteString(name)
+	return A.Reduce(hashWriteValue, buf)(values)
+}
+
+func makeBytes(b *Builder) []byte {
+	var buf bytes.Buffer
+
+	buf.WriteString(b.GetMethod())
+	buf.WriteString(b.GetURL())
+	b.GetHeaders().Write(&buf) // #nosec: G104
+
+	R.ReduceOrdWithIndex[[]string, *bytes.Buffer](S.Ord)(hashWriteQuery, &buf)(b.GetQuery())
+
+	buf.Write(bodyAsBytes(b.GetBody()))
+
+	return buf.Bytes()
+}
+
+// MakeHash converts a [Builder] into a hash string, convenient to use as a cache key
+func MakeHash(b *Builder) string {
+	return fmt.Sprintf("%x", sha256.Sum256(makeBytes(b)))
+}

http/builder/builder_test.go

@@ -0,0 +1,93 @@
+// 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 builder
+
+import (
+	"fmt"
+	"testing"
+
+	F "github.com/IBM/fp-go/function"
+	C "github.com/IBM/fp-go/http/content"
+	FD "github.com/IBM/fp-go/http/form"
+	H "github.com/IBM/fp-go/http/headers"
+	O "github.com/IBM/fp-go/option"
+	"github.com/stretchr/testify/assert"
+)
+
+func TestBuilder(t *testing.T) {
+
+	name := H.ContentType
+	withContentType := WithHeader(name)
+	withoutContentType := WithoutHeader(name)
+
+	b1 := F.Pipe1(
+		Default,
+		withContentType(C.JSON),
+	)
+
+	b2 := F.Pipe1(
+		b1,
+		withContentType(C.TextPlain),
+	)
+
+	b3 := F.Pipe1(
+		b2,
+		withoutContentType,
+	)
+
+	assert.Equal(t, O.None[string](), Default.GetHeader(name))
+	assert.Equal(t, O.Of(C.JSON), b1.GetHeader(name))
+	assert.Equal(t, O.Of(C.TextPlain), b2.GetHeader(name))
+	assert.Equal(t, O.None[string](), b3.GetHeader(name))
+}
+
+func TestWithFormData(t *testing.T) {
+	data := F.Pipe1(
+		FD.Default,
+		FD.WithValue("a")("b"),
+	)
+
+	res := F.Pipe1(
+		Default,
+		WithFormData(data),
+	)
+
+	assert.Equal(t, C.FormEncoded, Headers.Get(res).Get(H.ContentType))
+}
+
+func TestHash(t *testing.T) {
+
+	b1 := F.Pipe4(
+		Default,
+		WithContentType(C.JSON),
+		WithHeader(H.Accept)(C.JSON),
+		WithURL("http://www.example.com"),
+		WithJSON(map[string]string{"a": "b"}),
+	)
+
+	b2 := F.Pipe4(
+		Default,
+		WithURL("http://www.example.com"),
+		WithHeader(H.Accept)(C.JSON),
+		WithContentType(C.JSON),
+		WithJSON(map[string]string{"a": "b"}),
+	)
+
+	assert.Equal(t, MakeHash(b1), MakeHash(b2))
+	assert.NotEqual(t, MakeHash(Default), MakeHash(b2))
+
+	fmt.Println(MakeHash(b1))
+}

http/content/content.go

@@ -0,0 +1,23 @@
+// 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 content
+
+const (
+	TextPlain   = "text/plain"
+	JSON        = "application/json"
+	Json        = JSON // Deprecated: use [JSON] instead
+	FormEncoded = "application/x-www-form-urlencoded"
+)

http/form/form.go

@@ -25,6 +25,7 @@ import (
 	LA "github.com/IBM/fp-go/optics/lens/array"
 	LRG "github.com/IBM/fp-go/optics/lens/record/generic"
 	O "github.com/IBM/fp-go/option"
+	RG "github.com/IBM/fp-go/record/generic"
 )
 
 type (
@@ -38,9 +39,12 @@ var (
 
 	noField = O.None[string]()
 
-	// FormMonoid is the [M.Monoid] for the [Endomorphism]
+	// Monoid is the [M.Monoid] for the [Endomorphism]
 	Monoid = ENDO.Monoid[url.Values]()
 
+	// ValuesMonoid is a [M.Monoid] to concatenate [url.Values] maps
+	ValuesMonoid = RG.UnionMonoid[url.Values](A.Semigroup[string]())
+
 	// AtValues is a [L.Lens] that focusses on the values of a form field
 	AtValues = LRG.AtRecord[url.Values, []string]
 

http/headers/headers.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 headers
+
+import (
+	"net/http"
+	"net/textproto"
+
+	A "github.com/IBM/fp-go/array"
+	F "github.com/IBM/fp-go/function"
+	L "github.com/IBM/fp-go/optics/lens"
+	LA "github.com/IBM/fp-go/optics/lens/array"
+	LRG "github.com/IBM/fp-go/optics/lens/record/generic"
+	RG "github.com/IBM/fp-go/record/generic"
+)
+
+// HTTP headers
+const (
+	Accept        = "Accept"
+	Authorization = "Authorization"
+	ContentType   = "Content-Type"
+	ContentLength = "Content-Length"
+)
+
+var (
+	// Monoid is a [M.Monoid] to concatenate [http.Header] maps
+	Monoid = RG.UnionMonoid[http.Header](A.Semigroup[string]())
+
+	// AtValues is a [L.Lens] that focusses on the values of a header
+	AtValues = F.Flow2(
+		textproto.CanonicalMIMEHeaderKey,
+		LRG.AtRecord[http.Header, []string],
+	)
+
+	composeHead = F.Pipe1(
+		LA.AtHead[string](),
+		L.ComposeOptions[http.Header, string](A.Empty[string]()),
+	)
+
+	// AtValue is a [L.Lens] that focusses on first value of a header
+	AtValue = F.Flow2(
+		AtValues,
+		composeHead,
+	)
+)

http/headers/headers_test.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 headers
+
+import (
+	"net/http"
+	"testing"
+
+	A "github.com/IBM/fp-go/array"
+	"github.com/IBM/fp-go/eq"
+	LT "github.com/IBM/fp-go/optics/lens/testing"
+	O "github.com/IBM/fp-go/option"
+	RG "github.com/IBM/fp-go/record/generic"
+	S "github.com/IBM/fp-go/string"
+	"github.com/stretchr/testify/assert"
+)
+
+var (
+	sEq      = eq.FromEquals(S.Eq)
+	valuesEq = RG.Eq[http.Header](A.Eq(sEq))
+)
+
+func TestLaws(t *testing.T) {
+	name := "Content-Type"
+	fieldLaws := LT.AssertLaws[http.Header, O.Option[string]](t, O.Eq(sEq), valuesEq)(AtValue(name))
+
+	n := O.None[string]()
+	s1 := O.Some("s1")
+
+	def := make(http.Header)
+
+	v1 := make(http.Header)
+	v1.Set(name, "v1")
+
+	v2 := make(http.Header)
+	v2.Set("Other-Header", "v2")
+
+	assert.True(t, fieldLaws(def, n))
+	assert.True(t, fieldLaws(v1, n))
+	assert.True(t, fieldLaws(v2, n))
+
+	assert.True(t, fieldLaws(def, s1))
+	assert.True(t, fieldLaws(v1, s1))
+	assert.True(t, fieldLaws(v2, s1))
+}

http/types.go

@@ -18,15 +18,15 @@ package http
 import (
 	H "net/http"
 
-	T "github.com/IBM/fp-go/tuple"
+	P "github.com/IBM/fp-go/pair"
 )
 
 type (
 	// FullResponse represents a full http response, including headers and body
-	FullResponse = T.Tuple2[*H.Response, []byte]
+	FullResponse = P.Pair[*H.Response, []byte]
 )
 
 var (
-	Response = T.First[*H.Response, []byte]
-	Body     = T.Second[*H.Response, []byte]
+	Response = P.Head[*H.Response, []byte]
+	Body     = P.Tail[*H.Response, []byte]
 )

http/utils.go

@@ -20,6 +20,7 @@ import (
 	"io"
 	"mime"
 	H "net/http"
+	"net/url"
 	"regexp"
 
 	A "github.com/IBM/fp-go/array"
@@ -27,39 +28,48 @@ import (
 	"github.com/IBM/fp-go/errors"
 	F "github.com/IBM/fp-go/function"
 	O "github.com/IBM/fp-go/option"
+	P "github.com/IBM/fp-go/pair"
 	R "github.com/IBM/fp-go/record/generic"
-	T "github.com/IBM/fp-go/tuple"
 )
 
 type (
-	ParsedMediaType = T.Tuple2[string, map[string]string]
+	ParsedMediaType = P.Pair[string, map[string]string]
+
+	HttpError struct {
+		statusCode int
+		headers    H.Header
+		body       []byte
+		url        *url.URL
+	}
 )
 
 var (
 	// mime type to check if a media type matches
-	reJsonMimeType = regexp.MustCompile(`application/(?:\w+\+)?json`)
+	isJSONMimeType = regexp.MustCompile(`application/(?:\w+\+)?json`).MatchString
 	// ValidateResponse validates an HTTP response and returns an [E.Either] if the response is not a success
 	ValidateResponse = E.FromPredicate(isValidStatus, StatusCodeError)
 	// alidateJsonContentTypeString parses a content type a validates that it is valid JSON
-	validateJsonContentTypeString = F.Flow2(
+	validateJSONContentTypeString = F.Flow2(
 		ParseMediaType,
 		E.ChainFirst(F.Flow2(
-			T.First[string, map[string]string],
-			E.FromPredicate(reJsonMimeType.MatchString, func(mimeType string) error {
-				return fmt.Errorf("mimetype [%s] is not a valid JSON content type", mimeType)
-			}),
+			P.Head[string, map[string]string],
+			E.FromPredicate(isJSONMimeType, errors.OnSome[string]("mimetype [%s] is not a valid JSON content type")),
 		)),
 	)
-	// ValidateJsonResponse checks if an HTTP response is a valid JSON response
-	ValidateJsonResponse = F.Flow2(
+	// ValidateJSONResponse checks if an HTTP response is a valid JSON response
+	ValidateJSONResponse = F.Flow2(
 		E.Of[error, *H.Response],
 		E.ChainFirst(F.Flow5(
 			GetHeader,
 			R.Lookup[H.Header](HeaderContentType),
 			O.Chain(A.First[string]),
 			E.FromOption[string](errors.OnNone("unable to access the [%s] header", HeaderContentType)),
-			E.ChainFirst(validateJsonContentTypeString),
+			E.ChainFirst(validateJSONContentTypeString),
 		)))
+	// ValidateJsonResponse checks if an HTTP response is a valid JSON response
+	//
+	// Deprecated: use [ValidateJSONResponse] instead
+	ValidateJsonResponse = ValidateJSONResponse
 )
 
 const (
@@ -69,7 +79,32 @@ const (
 // ParseMediaType parses a media type into a tuple
 func ParseMediaType(mediaType string) E.Either[error, ParsedMediaType] {
 	m, p, err := mime.ParseMediaType(mediaType)
-	return E.TryCatchError(T.MakeTuple2(m, p), err)
+	return E.TryCatchError(P.MakePair(m, p), err)
+}
+
+// Error fulfills the error interface
+func (r *HttpError) Error() string {
+	return fmt.Sprintf("invalid status code [%d] when accessing URL [%s]", r.statusCode, r.url)
+}
+
+func (r *HttpError) String() string {
+	return r.Error()
+}
+
+func (r *HttpError) StatusCode() int {
+	return r.statusCode
+}
+
+func (r *HttpError) Headers() H.Header {
+	return r.headers
+}
+
+func (r *HttpError) URL() *url.URL {
+	return r.url
+}
+
+func (r *HttpError) Body() []byte {
+	return r.body
 }
 
 func GetHeader(resp *H.Response) H.Header {
@@ -84,6 +119,13 @@ func isValidStatus(resp *H.Response) bool {
 	return resp.StatusCode >= H.StatusOK && resp.StatusCode < H.StatusMultipleChoices
 }
 
+// StatusCodeError creates an instance of [HttpError] filled with information from the response
 func StatusCodeError(resp *H.Response) error {
-	return fmt.Errorf("invalid status code [%d] when accessing URL [%s]", resp.StatusCode, resp.Request.URL)
+	// read the body
+	bodyRdr := GetBody(resp)
+	defer bodyRdr.Close()
+	// try to access body content
+	body, _ := io.ReadAll(bodyRdr)
+	// return an error with comprehensive information
+	return &HttpError{statusCode: resp.StatusCode, headers: GetHeader(resp).Clone(), body: body, url: resp.Request.URL}
 }

http/utils_test.go

@@ -20,6 +20,7 @@ import (
 
 	E "github.com/IBM/fp-go/either"
 	F "github.com/IBM/fp-go/function"
+	C "github.com/IBM/fp-go/http/content"
 	"github.com/stretchr/testify/assert"
 )
 
@@ -38,7 +39,7 @@ func Error[A any](t *testing.T) func(E.Either[error, A]) bool {
 func TestValidateJsonContentTypeString(t *testing.T) {
 
 	res := F.Pipe1(
-		validateJsonContentTypeString("application/json"),
+		validateJSONContentTypeString(C.JSON),
 		NoError[ParsedMediaType](t),
 	)
 
@@ -48,7 +49,7 @@ func TestValidateJsonContentTypeString(t *testing.T) {
 func TestValidateInvalidJsonContentTypeString(t *testing.T) {
 
 	res := F.Pipe1(
-		validateJsonContentTypeString("application/xml"),
+		validateJSONContentTypeString("application/xml"),
 		Error[ParsedMediaType](t),
 	)
 

identity/bind.go

@@ -0,0 +1,89 @@
+// 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 identity
+
+import (
+	A "github.com/IBM/fp-go/internal/apply"
+	C "github.com/IBM/fp-go/internal/chain"
+	F "github.com/IBM/fp-go/internal/functor"
+)
+
+// Bind creates an empty context of type [S] to be used with the [Bind] operation
+func Do[S any](
+	empty S,
+) S {
+	return empty
+}
+
+// Bind attaches the result of a computation to a context [S1] to produce a context [S2]
+func Bind[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	f func(S1) T,
+) func(S1) S2 {
+	return C.Bind(
+		Chain[S1, S2],
+		Map[T, S2],
+		setter,
+		f,
+	)
+}
+
+// Let attaches the result of a computation to a context [S1] to produce a context [S2]
+func Let[S1, S2, T any](
+	key func(T) func(S1) S2,
+	f func(S1) T,
+) func(S1) S2 {
+	return F.Let(
+		Map[S1, S2],
+		key,
+		f,
+	)
+}
+
+// LetTo attaches the a value to a context [S1] to produce a context [S2]
+func LetTo[S1, S2, B any](
+	key func(B) func(S1) S2,
+	b B,
+) func(S1) S2 {
+	return F.LetTo(
+		Map[S1, S2],
+		key,
+		b,
+	)
+}
+
+// BindTo initializes a new state [S1] from a value [T]
+func BindTo[S1, T any](
+	setter func(T) S1,
+) func(T) S1 {
+	return C.BindTo(
+		Map[T, S1],
+		setter,
+	)
+}
+
+// ApS attaches a value to a context [S1] to produce a context [S2] by considering the context and the value concurrently
+func ApS[S1, S2, T any](
+	setter func(T) func(S1) S2,
+	fa T,
+) func(S1) S2 {
+	return A.ApS(
+		Ap[S2, T],
+		Map[S1, func(T) S2],
+		setter,
+		fa,
+	)
+}

identity/generic/identity.go

@@ -50,7 +50,11 @@ func MonadChainFirst[GAB ~func(A) B, A, B any](fa A, f GAB) A {
 }
 
 func ChainFirst[GAB ~func(A) B, A, B any](f GAB) func(A) A {
-	return C.ChainFirst(MonadChain[func(A) A, A, A], MonadMap[func(B) A, B, A], f)
+	return C.ChainFirst(
+		Chain[func(A) A, A, A],
+		Map[func(B) A, B, A],
+		f,
+	)
 }
 
 func MonadFlap[GAB ~func(A) B, A, B any](fab GAB, a A) B {
@@ -58,5 +62,5 @@ func MonadFlap[GAB ~func(A) B, A, B any](fab GAB, a A) B {
 }
 
 func Flap[GAB ~func(A) B, B, A any](a A) func(GAB) B {
-	return F.Bind2nd(MonadFlap[GAB, A, B], a)
+	return FC.Flap(Map[func(GAB) B, GAB, B], a)
 }

identity/identity.go

@@ -36,7 +36,7 @@ func Map[A, B any](f func(A) B) func(A) B {
 	return G.Map(f)
 }
 
-func MonadMapTo[A, B any](fa A, b B) B {
+func MonadMapTo[A, B any](_ A, b B) B {
 	return b
 }
 

identity/monad.go

@@ -0,0 +1,43 @@
+// Copyright (c) 2024 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 identity
+
+import (
+	"github.com/IBM/fp-go/internal/monad"
+)
+
+type identityMonad[A, B any] struct{}
+
+func (o *identityMonad[A, B]) Of(a A) A {
+	return Of[A](a)
+}
+
+func (o *identityMonad[A, B]) Map(f func(A) B) func(A) B {
+	return Map[A, B](f)
+}
+
+func (o *identityMonad[A, B]) Chain(f func(A) B) func(A) B {
+	return Chain[A, B](f)
+}
+
+func (o *identityMonad[A, B]) Ap(fa A) func(func(A) B) B {
+	return Ap[B, A](fa)
+}
+
+// Monad implements the monadic operations for [Option]
+func Monad[A, B any]() monad.Monad[A, B, A, B, func(A) B] {
+	return &identityMonad[A, B]{}
+}

internal/applicative/testing/law.go

@@ -20,13 +20,19 @@ import (
 
 	E "github.com/IBM/fp-go/eq"
 	F "github.com/IBM/fp-go/function"
+	"github.com/IBM/fp-go/internal/applicative"
+	"github.com/IBM/fp-go/internal/apply"
 	L "github.com/IBM/fp-go/internal/apply/testing"
+	"github.com/IBM/fp-go/internal/functor"
+	"github.com/IBM/fp-go/internal/pointed"
 	"github.com/stretchr/testify/assert"
 )
 
 // Applicative identity law
 //
 // A.ap(A.of(a => a), fa) <-> fa
+//
+// Deprecated: use [ApplicativeAssertIdentity]
 func AssertIdentity[HKTA, HKTAA, A any](t *testing.T,
 	eq E.Eq[HKTA],
 
@@ -34,6 +40,9 @@ func AssertIdentity[HKTA, HKTAA, A any](t *testing.T,
 
 	fap func(HKTAA, HKTA) HKTA,
 ) func(fa HKTA) bool {
+	// mark as test helper
+	t.Helper()
+
 	return func(fa HKTA) bool {
 
 		left := fap(fof(F.Identity[A]), fa)
@@ -43,9 +52,33 @@ func AssertIdentity[HKTA, HKTAA, A any](t *testing.T,
 	}
 }
 
+// Applicative identity law
+//
+// A.ap(A.of(a => a), fa) <-> fa
+func ApplicativeAssertIdentity[HKTA, HKTFAA, A any](t *testing.T,
+	eq E.Eq[HKTA],
+
+	ap applicative.Applicative[A, A, HKTA, HKTA, HKTFAA],
+	paa pointed.Pointed[func(A) A, HKTFAA],
+
+) func(fa HKTA) bool {
+	// mark as test helper
+	t.Helper()
+
+	return func(fa HKTA) bool {
+
+		left := ap.Ap(fa)(paa.Of(F.Identity[A]))
+		right := fa
+
+		return assert.True(t, eq.Equals(left, right), "Applicative identity")
+	}
+}
+
 // Applicative homomorphism law
 //
 // A.ap(A.of(ab), A.of(a)) <-> A.of(ab(a))
+//
+// Deprecated: use [ApplicativeAssertHomomorphism]
 func AssertHomomorphism[HKTA, HKTB, HKTAB, A, B any](t *testing.T,
 	eq E.Eq[HKTB],
 
@@ -57,6 +90,9 @@ func AssertHomomorphism[HKTA, HKTB, HKTAB, A, B any](t *testing.T,
 
 	ab func(A) B,
 ) func(a A) bool {
+	// mark as test helper
+	t.Helper()
+
 	return func(a A) bool {
 
 		left := fap(fofab(ab), fofa(a))
@@ -66,14 +102,39 @@ func AssertHomomorphism[HKTA, HKTB, HKTAB, A, B any](t *testing.T,
 	}
 }
 
+// Applicative homomorphism law
+//
+// A.ap(A.of(ab), A.of(a)) <-> A.of(ab(a))
+func ApplicativeAssertHomomorphism[HKTA, HKTB, HKTFAB, A, B any](t *testing.T,
+	eq E.Eq[HKTB],
+
+	apab applicative.Applicative[A, B, HKTA, HKTB, HKTFAB],
+	pb pointed.Pointed[B, HKTB],
+	pfab pointed.Pointed[func(A) B, HKTFAB],
+
+	ab func(A) B,
+) func(a A) bool {
+	// mark as test helper
+	t.Helper()
+
+	return func(a A) bool {
+
+		left := apab.Ap(apab.Of(a))(pfab.Of(ab))
+		right := pb.Of(ab(a))
+
+		return assert.True(t, eq.Equals(left, right), "Applicative homomorphism")
+	}
+}
+
 // Applicative interchange law
 //
 // A.ap(fab, A.of(a)) <-> A.ap(A.of(ab => ab(a)), fab)
+//
+// Deprecated: use [ApplicativeAssertInterchange]
 func AssertInterchange[HKTA, HKTB, HKTAB, HKTABB, A, B any](t *testing.T,
 	eq E.Eq[HKTB],
 
 	fofa func(A) HKTA,
-	fofb func(B) HKTB,
 	fofab func(func(A) B) HKTAB,
 	fofabb func(func(func(A) B) B) HKTABB,
 
@@ -82,6 +143,9 @@ func AssertInterchange[HKTA, HKTB, HKTAB, HKTABB, A, B any](t *testing.T,
 
 	ab func(A) B,
 ) func(a A) bool {
+	// mark as test helper
+	t.Helper()
+
 	return func(a A) bool {
 
 		fab := fofab(ab)
@@ -95,7 +159,38 @@ func AssertInterchange[HKTA, HKTB, HKTAB, HKTABB, A, B any](t *testing.T,
 	}
 }
 
+// Applicative interchange law
+//
+// A.ap(fab, A.of(a)) <-> A.ap(A.of(ab => ab(a)), fab)
+func ApplicativeAssertInterchange[HKTA, HKTB, HKTFAB, HKTABB, A, B any](t *testing.T,
+	eq E.Eq[HKTB],
+
+	apab applicative.Applicative[A, B, HKTA, HKTB, HKTFAB],
+	apabb applicative.Applicative[func(A) B, B, HKTFAB, HKTB, HKTABB],
+	pabb pointed.Pointed[func(func(A) B) B, HKTABB],
+
+	ab func(A) B,
+) func(a A) bool {
+	// mark as test helper
+	t.Helper()
+
+	return func(a A) bool {
+
+		fab := apabb.Of(ab)
+
+		left := apab.Ap(apab.Of(a))(fab)
+
+		right := apabb.Ap(fab)(pabb.Of(func(ab func(A) B) B {
+			return ab(a)
+		}))
+
+		return assert.True(t, eq.Equals(left, right), "Applicative homomorphism")
+	}
+}
+
 // AssertLaws asserts the apply laws `identity`, `composition`, `associative composition`, 'applicative identity', 'homomorphism', 'interchange'
+//
+// Deprecated: use [ApplicativeAssertLaws] instead
 func AssertLaws[HKTA, HKTB, HKTC, HKTAA, HKTAB, HKTBC, HKTAC, HKTABB, HKTABAC, A, B, C any](t *testing.T,
 	eqa E.Eq[HKTA],
 	eqb E.Eq[HKTB],
@@ -127,15 +222,62 @@ func AssertLaws[HKTA, HKTB, HKTC, HKTAA, HKTAB, HKTBC, HKTAC, HKTABB, HKTABAC, A
 	ab func(A) B,
 	bc func(B) C,
 ) func(a A) bool {
+	// mark as test helper
+	t.Helper()
+
 	// apply laws
 	apply := L.AssertLaws(t, eqa, eqc, fofab, fofbc, faa, fab, fac, fbc, fmap, fapab, fapbc, fapac, fapabac, ab, bc)
 	// applicative laws
 	identity := AssertIdentity(t, eqa, fofaa, fapaa)
 	homomorphism := AssertHomomorphism(t, eqb, fofa, fofb, fofab, fapab, ab)
-	interchange := AssertInterchange(t, eqb, fofa, fofb, fofab, fofabb, fapab, fapabb, ab)
+	interchange := AssertInterchange(t, eqb, fofa, fofab, fofabb, fapab, fapabb, ab)
 
 	return func(a A) bool {
 		fa := fofa(a)
 		return apply(fa) && identity(fa) && homomorphism(a) && interchange(a)
 	}
 }
+
+// ApplicativeAssertLaws asserts the apply laws `identity`, `composition`, `associative composition`, 'applicative identity', 'homomorphism', 'interchange'
+func ApplicativeAssertLaws[HKTA, HKTB, HKTC, HKTAA, HKTAB, HKTBC, HKTAC, HKTABB, HKTABAC, A, B, C any](t *testing.T,
+	eqa E.Eq[HKTA],
+	eqb E.Eq[HKTB],
+	eqc E.Eq[HKTC],
+
+	fofb pointed.Pointed[B, HKTB],
+
+	fofaa pointed.Pointed[func(A) A, HKTAA],
+	fofbc pointed.Pointed[func(B) C, HKTBC],
+
+	fofabb pointed.Pointed[func(func(A) B) B, HKTABB],
+
+	faa functor.Functor[A, A, HKTA, HKTA],
+
+	fmap functor.Functor[func(B) C, func(func(A) B) func(A) C, HKTBC, HKTABAC],
+
+	fapaa applicative.Applicative[A, A, HKTA, HKTA, HKTAA],
+	fapab applicative.Applicative[A, B, HKTA, HKTB, HKTAB],
+	fapbc apply.Apply[B, C, HKTB, HKTC, HKTBC],
+	fapac apply.Apply[A, C, HKTA, HKTC, HKTAC],
+
+	fapabb applicative.Applicative[func(A) B, B, HKTAB, HKTB, HKTABB],
+	fapabac applicative.Applicative[func(A) B, func(A) C, HKTAB, HKTAC, HKTABAC],
+
+	ab func(A) B,
+	bc func(B) C,
+) func(a A) bool {
+	// mark as test helper
+	t.Helper()
+
+	// apply laws
+	apply := L.ApplyAssertLaws(t, eqa, eqc, applicative.ToPointed(fapabac), fofbc, faa, fmap, applicative.ToApply(fapab), fapbc, fapac, applicative.ToApply(fapabac), ab, bc)
+	// applicative laws
+	identity := ApplicativeAssertIdentity(t, eqa, fapaa, fofaa)
+	homomorphism := ApplicativeAssertHomomorphism(t, eqb, fapab, fofb, applicative.ToPointed(fapabb), ab)
+	interchange := ApplicativeAssertInterchange(t, eqb, fapab, fapabb, fofabb, ab)
+
+	return func(a A) bool {
+		fa := fapaa.Of(a)
+		return apply(fa) && identity(fa) && homomorphism(a) && interchange(a)
+	}
+}

internal/applicative/types.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 applicative
+
+import (
+	"github.com/IBM/fp-go/internal/apply"
+	"github.com/IBM/fp-go/internal/functor"
+	"github.com/IBM/fp-go/internal/pointed"
+)
+
+type Applicative[A, B, HKTA, HKTB, HKTFAB any] interface {
+	apply.Apply[A, B, HKTA, HKTB, HKTFAB]
+	pointed.Pointed[A, HKTA]
+}
+
+// ToFunctor converts from [Applicative] to [functor.Functor]
+func ToFunctor[A, B, HKTA, HKTB, HKTFAB any](ap Applicative[A, B, HKTA, HKTB, HKTFAB]) functor.Functor[A, B, HKTA, HKTB] {
+	return ap
+}
+
+// ToApply converts from [Applicative] to [apply.Apply]
+func ToApply[A, B, HKTA, HKTB, HKTFAB any](ap Applicative[A, B, HKTA, HKTB, HKTFAB]) apply.Apply[A, B, HKTA, HKTB, HKTFAB] {
+	return ap
+}
+
+// ToPointed converts from [Applicative] to [pointed.Pointed]
+func ToPointed[A, B, HKTA, HKTB, HKTFAB any](ap Applicative[A, B, HKTA, HKTB, HKTFAB]) pointed.Pointed[A, HKTA] {
+	return ap
+}

internal/apply/ap.go

@@ -19,13 +19,6 @@ import (
 	F "github.com/IBM/fp-go/function"
 )
 
-// HKTFGA  = HKT<F, HKT<G, A>>
-// HKTFGB  = HKT<F, HKT<G, B>>
-// HKTFGAB = HKT<F, HKT<G, (a: A) => B>>
-
-// HKTGA   = HKT<G, A>
-// HKTGB   = HKT<G, B>
-// HKTGAB  = HKT<G, (a: A) => B>
 func MonadAp[HKTGA, HKTGB, HKTGAB, HKTFGAB, HKTFGGAB, HKTFGA, HKTFGB any](
 	fap func(HKTFGGAB, HKTFGA) HKTFGB,
 	fmap func(HKTFGAB, func(HKTGAB) func(HKTGA) HKTGB) HKTFGGAB,
@@ -37,6 +30,29 @@ func MonadAp[HKTGA, HKTGB, HKTGAB, HKTFGAB, HKTFGGAB, HKTFGA, HKTFGB any](
 	return fap(fmap(fab, F.Bind1st(F.Bind1st[HKTGAB, HKTGA, HKTGB], gap)), fa)
 }
 
+func Ap[HKTGA, HKTGB, HKTGAB, HKTFGAB, HKTFGGAB, HKTFGA, HKTFGB any](
+	fap func(HKTFGA) func(HKTFGGAB) HKTFGB,
+	fmap func(func(HKTGAB) func(HKTGA) HKTGB) func(HKTFGAB) HKTFGGAB,
+	gap func(HKTGA) func(HKTGAB) HKTGB,
+
+	fa HKTFGA) func(HKTFGAB) HKTFGB {
+
+	return F.Flow2(
+		fmap(F.Flip(gap)),
+		fap(fa),
+	)
+}
+
+// func Ap[HKTGA, HKTGB, HKTGAB, HKTFGAB, HKTFGGAB, HKTFGA, HKTFGB any](
+// 	fap func(HKTFGA) func(HKTFGGAB) HKTFGB,
+// 	fmap func(func(HKTGAB) func(HKTGA) HKTGB) func(HKTFGAB) HKTFGGAB,
+// 	gap func(HKTGA) func(HKTGAB) HKTGB,
+
+// 	fa HKTFGA) func(HKTFGAB) HKTFGB {
+
+// 	return fap(fmap(F.Bind1st(F.Bind1st[HKTGAB, HKTGA, HKTGB], gap)), fa)
+// }
+
 // export function ap<F, G>(
 // 	F: Apply<F>,
 // 	G: Apply<G>
@@ -107,3 +123,25 @@ func ApSecond[HKTGA, HKTGB, HKTGBB, A, B any](
 		return MonadApSecond(fap, fmap, first, second)
 	}
 }
+
+func MonadApS[S1, S2, B, HKTBGBS2, HKTS1, HKTS2, HKTB any](
+	fap func(HKTBGBS2, HKTB) HKTS2,
+	fmap func(HKTS1, func(S1) func(B) S2) HKTBGBS2,
+	fa HKTS1,
+	key func(B) func(S1) S2,
+	fb HKTB,
+) HKTS2 {
+	return fap(fmap(fa, F.Flip(key)), fb)
+}
+
+func ApS[S1, S2, B, HKTBGBS2, HKTS1, HKTS2, HKTB any](
+	fap func(HKTB) func(HKTBGBS2) HKTS2,
+	fmap func(func(S1) func(B) S2) func(HKTS1) HKTBGBS2,
+	key func(B) func(S1) S2,
+	fb HKTB,
+) func(HKTS1) HKTS2 {
+	return F.Flow2(
+		fmap(F.Flip(key)),
+		fap(fb),
+	)
+}

internal/apply/testing/laws.go

@@ -19,13 +19,18 @@ import (
 	"testing"
 
 	E "github.com/IBM/fp-go/eq"
+	"github.com/IBM/fp-go/internal/apply"
+	"github.com/IBM/fp-go/internal/functor"
 	FCT "github.com/IBM/fp-go/internal/functor/testing"
+	"github.com/IBM/fp-go/internal/pointed"
 	"github.com/stretchr/testify/assert"
 )
 
 // Apply associative composition law
 //
 // F.ap(F.ap(F.map(fbc, bc => ab => a => bc(ab(a))), fab), fa) <-> F.ap(fbc, F.ap(fab, fa))
+//
+// Deprecated: use [ApplyAssertAssociativeComposition] instead
 func AssertAssociativeComposition[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *testing.T,
 	eq E.Eq[HKTC],
 
@@ -43,6 +48,7 @@ func AssertAssociativeComposition[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC
 	ab func(A) B,
 	bc func(B) C,
 ) func(fa HKTA) bool {
+	t.Helper()
 	return func(fa HKTA) bool {
 
 		fab := fofab(ab)
@@ -62,7 +68,49 @@ func AssertAssociativeComposition[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC
 	}
 }
 
+// Apply associative composition law
+//
+// F.ap(F.ap(F.map(fbc, bc => ab => a => bc(ab(a))), fab), fa) <-> F.ap(fbc, F.ap(fab, fa))
+func ApplyAssertAssociativeComposition[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *testing.T,
+	eq E.Eq[HKTC],
+
+	fofab pointed.Pointed[func(A) B, HKTAB],
+	fofbc pointed.Pointed[func(B) C, HKTBC],
+
+	fmap functor.Functor[func(B) C, func(func(A) B) func(A) C, HKTBC, HKTABAC],
+
+	fapab apply.Apply[A, B, HKTA, HKTB, HKTAB],
+	fapbc apply.Apply[B, C, HKTB, HKTC, HKTBC],
+	fapac apply.Apply[A, C, HKTA, HKTC, HKTAC],
+
+	fapabac apply.Apply[func(A) B, func(A) C, HKTAB, HKTAC, HKTABAC],
+
+	ab func(A) B,
+	bc func(B) C,
+) func(fa HKTA) bool {
+	t.Helper()
+	return func(fa HKTA) bool {
+
+		fab := fofab.Of(ab)
+		fbc := fofbc.Of(bc)
+
+		left := fapac.Ap(fa)(fapabac.Ap(fab)(fmap.Map(func(bc func(B) C) func(func(A) B) func(A) C {
+			return func(ab func(A) B) func(A) C {
+				return func(a A) C {
+					return bc(ab(a))
+				}
+			}
+		})(fbc)))
+
+		right := fapbc.Ap(fapab.Ap(fa)(fab))(fbc)
+
+		return assert.True(t, eq.Equals(left, right), "Apply associative composition")
+	}
+}
+
 // AssertLaws asserts the apply laws `identity`, `composition` and `associative composition`
+//
+// Deprecated: use [ApplyAssertLaws] instead
 func AssertLaws[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *testing.T,
 	eqa E.Eq[HKTA],
 	eqc E.Eq[HKTC],
@@ -86,6 +134,8 @@ func AssertLaws[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *
 	ab func(A) B,
 	bc func(B) C,
 ) func(fa HKTA) bool {
+	// mark as test helper
+	t.Helper()
 	// functor laws
 	functor := FCT.AssertLaws(t, eqa, eqc, faa, fab, fac, fbc, ab, bc)
 	// associative composition laws
@@ -95,3 +145,36 @@ func AssertLaws[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *
 		return functor(fa) && composition(fa)
 	}
 }
+
+// ApplyAssertLaws asserts the apply laws `identity`, `composition` and `associative composition`
+func ApplyAssertLaws[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *testing.T,
+	eqa E.Eq[HKTA],
+	eqc E.Eq[HKTC],
+
+	fofab pointed.Pointed[func(A) B, HKTAB],
+	fofbc pointed.Pointed[func(B) C, HKTBC],
+
+	faa functor.Functor[A, A, HKTA, HKTA],
+
+	fmap functor.Functor[func(B) C, func(func(A) B) func(A) C, HKTBC, HKTABAC],
+
+	fapab apply.Apply[A, B, HKTA, HKTB, HKTAB],
+	fapbc apply.Apply[B, C, HKTB, HKTC, HKTBC],
+	fapac apply.Apply[A, C, HKTA, HKTC, HKTAC],
+
+	fapabac apply.Apply[func(A) B, func(A) C, HKTAB, HKTAC, HKTABAC],
+
+	ab func(A) B,
+	bc func(B) C,
+) func(fa HKTA) bool {
+	// mark as test helper
+	t.Helper()
+	// functor laws
+	functor := FCT.FunctorAssertLaws(t, eqa, eqc, faa, apply.ToFunctor(fapab), apply.ToFunctor(fapac), apply.ToFunctor(fapbc), ab, bc)
+	// associative composition laws
+	composition := ApplyAssertAssociativeComposition(t, eqc, fofab, fofbc, fmap, fapab, fapbc, fapac, fapabac, ab, bc)
+
+	return func(fa HKTA) bool {
+		return functor(fa) && composition(fa)
+	}
+}

internal/apply/types.go

@@ -0,0 +1,30 @@
+// 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 apply
+
+import (
+	"github.com/IBM/fp-go/internal/functor"
+)
+
+type Apply[A, B, HKTA, HKTB, HKTFAB any] interface {
+	functor.Functor[A, B, HKTA, HKTB]
+	Ap(HKTA) func(HKTFAB) HKTB
+}
+
+// ToFunctor converts from [Apply] to [functor.Functor]
+func ToFunctor[A, B, HKTA, HKTB, HKTFAB any](ap Apply[A, B, HKTA, HKTB, HKTFAB]) functor.Functor[A, B, HKTA, HKTB] {
+	return ap
+}

internal/array/array.go

@@ -106,6 +106,12 @@ func MonadMap[GA ~[]A, GB ~[]B, A, B any](as GA, f func(a A) B) GB {
 	return bs
 }
 
+func Map[GA ~[]A, GB ~[]B, A, B any](f func(a A) B) func(GA) GB {
+	return func(as GA) GB {
+		return MonadMap[GA, GB](as, f)
+	}
+}
+
 func MonadMapWithIndex[GA ~[]A, GB ~[]B, A, B any](as GA, f func(idx int, a A) B) GB {
 	count := len(as)
 	bs := make(GB, count)

internal/array/prepend.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 array
+
+// Prepend prepends a single value to an array
+func Prepend[ENDO ~func(AS) AS, AS ~[]A, A any](head A) ENDO {
+	return func(as AS) AS {
+		l := len(as)
+		cpy := make(AS, l+1)
+		copy(cpy[1:], as)
+		cpy[0] = head
+		return cpy
+
+	}
+}

internal/bindt/bind.go

@@ -1,75 +0,0 @@
-// 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 bindt
-
-import (
-	F "github.com/IBM/fp-go/function"
-	I "github.com/IBM/fp-go/identity"
-	T "github.com/IBM/fp-go/tuple"
-)
-
-func Bind[SET ~func(B) func(S1) S2, FCT ~func(S1) HKTB, S1, S2, B, HKTS1, HKTS2, HKTB any](
-	mchain func(func(S1) HKTS2) func(HKTS1) HKTS2,
-	mmap func(func(B) S2) func(HKTB) HKTS2,
-	s SET,
-	f FCT,
-) func(HKTS1) HKTS2 {
-	return mchain(F.Flow3(
-		T.Replicate2[S1],
-		T.Map2(F.Flow2(
-			I.Ap[S2, S1],
-			F.Flow2(
-				F.Bind1st(F.Flow2[SET, func(func(S1) S2) S2], s),
-				mmap,
-			)), f),
-		T.Tupled2(I.MonadAp[HKTS2, HKTB]),
-	))
-}
-
-func BindTo[SET ~func(B) S2, S2, B, HKTS2, HKTB any](
-	mmap func(func(B) S2) func(HKTB) HKTS2,
-	s SET,
-) func(HKTB) HKTS2 {
-	return mmap(s)
-}
-
-func ApS[
-	SET ~func(B) func(S1) S2,
-	S1, S2, B, HKTS1S2, HKTS1, HKTS2, HKTB any,
-](
-	ap func(HKTS1) func(HKTS1S2) HKTS2,
-	mmap func(func(B) func(S1) S2) func(HKTB) HKTS1S2,
-	s SET, fb HKTB) func(HKTS1) HKTS2 {
-
-	return F.Flow2(
-		ap,
-		I.Ap[HKTS2, HKTS1S2](mmap(s)(fb)),
-	)
-}
-
-func Let[SET ~func(B) func(S1) S2, FCT ~func(S1) B, S1, S2, B, HKTS1, HKTS2 any](
-	mmap func(func(S1) S2) func(HKTS1) HKTS2,
-	s SET,
-	f FCT,
-) func(HKTS1) HKTS2 {
-	return mmap(F.Flow3(
-		T.Replicate2[S1],
-		T.Map2(F.Flow2(
-			I.Ap[S2, S1],
-			F.Bind1st(F.Flow2[SET, func(func(S1) S2) S2], s)), f),
-		T.Tupled2(I.MonadAp[S2, B]),
-	))
-}

internal/chain/chain.go

@@ -43,19 +43,68 @@ func MonadChain[A, B, HKTA, HKTB any](
 // HKTA=HKT[A]
 // HKTB=HKT[B]
 func ChainFirst[A, B, HKTA, HKTB any](
-	mchain func(HKTA, func(A) HKTA) HKTA,
-	mmap func(HKTB, func(B) A) HKTA,
+	mchain func(func(A) HKTA) func(HKTA) HKTA,
+	mmap func(func(B) A) func(HKTB) HKTA,
 	f func(A) HKTB) func(HKTA) HKTA {
-	return F.Bind2nd(mchain, func(a A) HKTA {
-		return mmap(f(a), F.Constant1[B](a))
+	return mchain(func(a A) HKTA {
+		return mmap(F.Constant1[B](a))(f(a))
 	})
 }
 
 func Chain[A, B, HKTA, HKTB any](
-	mchain func(HKTA, func(A) HKTB) HKTB,
+	mchain func(func(A) HKTB) func(HKTA) HKTB,
 	f func(A) HKTB,
 ) func(HKTA) HKTB {
-	return func(first HKTA) HKTB {
-		return MonadChain[A, B](mchain, first, f)
-	}
+	return mchain(f)
+}
+
+func MonadBind[S1, S2, B, HKTS1, HKTS2, HKTB any](
+	mchain func(HKTS1, func(S1) HKTS2) HKTS2,
+	mmap func(HKTB, func(B) S2) HKTS2,
+	first HKTS1,
+	key func(B) func(S1) S2,
+	f func(S1) HKTB,
+) HKTS2 {
+	return mchain(first, func(s1 S1) HKTS2 {
+		return mmap(f(s1), func(b B) S2 {
+			return key(b)(s1)
+		})
+	})
+}
+
+func Bind[S1, S2, B, HKTS1, HKTS2, HKTB any](
+	mchain func(func(S1) HKTS2) func(HKTS1) HKTS2,
+	mmap func(func(B) S2) func(HKTB) HKTS2,
+	key func(B) func(S1) S2,
+	f func(S1) HKTB,
+) func(HKTS1) HKTS2 {
+	mapb := F.Flow2(
+		F.Flip(key),
+		mmap,
+	)
+	return mchain(func(s1 S1) HKTS2 {
+		return F.Pipe2(
+			s1,
+			f,
+			F.Pipe1(
+				s1,
+				mapb,
+			),
+		)
+	})
+}
+
+func BindTo[S1, B, HKTS1, HKTB any](
+	mmap func(func(B) S1) func(HKTB) HKTS1,
+	key func(B) S1,
+) func(fa HKTB) HKTS1 {
+	return mmap(key)
+}
+
+func MonadBindTo[S1, B, HKTS1, HKTB any](
+	mmap func(HKTB, func(B) S1) HKTS1,
+	first HKTB,
+	key func(B) S1,
+) HKTS1 {
+	return mmap(first, key)
 }

internal/chain/testing/laws.go

@@ -20,17 +20,22 @@ import (
 
 	E "github.com/IBM/fp-go/eq"
 	F "github.com/IBM/fp-go/function"
+	"github.com/IBM/fp-go/internal/apply"
 	L "github.com/IBM/fp-go/internal/apply/testing"
+	"github.com/IBM/fp-go/internal/chain"
+	"github.com/IBM/fp-go/internal/functor"
+	"github.com/IBM/fp-go/internal/pointed"
 	"github.com/stretchr/testify/assert"
 )
 
 // Chain associativity law
 //
 // F.chain(F.chain(fa, afb), bfc) <-> F.chain(fa, a => F.chain(afb(a), bfc))
+//
+// Deprecated: use [ChainAssertAssociativity] instead
 func AssertAssociativity[HKTA, HKTB, HKTC, A, B, C any](t *testing.T,
 	eq E.Eq[HKTC],
 
-	fofa func(A) HKTA,
 	fofb func(B) HKTB,
 	fofc func(C) HKTC,
 
@@ -56,12 +61,44 @@ func AssertAssociativity[HKTA, HKTB, HKTC, A, B, C any](t *testing.T,
 	}
 }
 
+// Chain associativity law
+//
+// F.chain(F.chain(fa, afb), bfc) <-> F.chain(fa, a => F.chain(afb(a), bfc))
+func ChainAssertAssociativity[HKTA, HKTB, HKTC, HKTAB, HKTAC, HKTBC, A, B, C any](t *testing.T,
+	eq E.Eq[HKTC],
+
+	fofb pointed.Pointed[B, HKTB],
+	fofc pointed.Pointed[C, HKTC],
+
+	chainab chain.Chainable[A, B, HKTA, HKTB, HKTAB],
+	chainac chain.Chainable[A, C, HKTA, HKTC, HKTAC],
+	chainbc chain.Chainable[B, C, HKTB, HKTC, HKTBC],
+
+	ab func(A) B,
+	bc func(B) C,
+) func(fa HKTA) bool {
+	return func(fa HKTA) bool {
+
+		afb := F.Flow2(ab, fofb.Of)
+		bfc := F.Flow2(bc, fofc.Of)
+
+		left := chainbc.Chain(bfc)(chainab.Chain(afb)(fa))
+
+		right := chainac.Chain(func(a A) HKTC {
+			return chainbc.Chain(bfc)(afb(a))
+		})(fa)
+
+		return assert.True(t, eq.Equals(left, right), "Chain associativity")
+	}
+}
+
 // AssertLaws asserts the apply laws `identity`, `composition`, `associative composition` and `associativity`
+//
+// Deprecated: use [ChainAssertLaws] instead
 func AssertLaws[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *testing.T,
 	eqa E.Eq[HKTA],
 	eqc E.Eq[HKTC],
 
-	fofa func(A) HKTA,
 	fofb func(B) HKTB,
 	fofc func(C) HKTC,
 
@@ -91,7 +128,41 @@ func AssertLaws[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *
 	// apply laws
 	apply := L.AssertLaws(t, eqa, eqc, fofab, fofbc, faa, fab, fac, fbc, fmap, fapab, fapbc, fapac, fapabac, ab, bc)
 	// chain laws
-	associativity := AssertAssociativity(t, eqc, fofa, fofb, fofc, chainab, chainac, chainbc, ab, bc)
+	associativity := AssertAssociativity(t, eqc, fofb, fofc, chainab, chainac, chainbc, ab, bc)
+
+	return func(fa HKTA) bool {
+		return apply(fa) && associativity(fa)
+	}
+}
+
+// ChainAssertLaws asserts the apply laws `identity`, `composition`, `associative composition` and `associativity`
+func ChainAssertLaws[HKTA, HKTB, HKTC, HKTAB, HKTBC, HKTAC, HKTABAC, A, B, C any](t *testing.T,
+	eqa E.Eq[HKTA],
+	eqc E.Eq[HKTC],
+
+	fofb pointed.Pointed[B, HKTB],
+	fofc pointed.Pointed[C, HKTC],
+
+	fofab pointed.Pointed[func(A) B, HKTAB],
+	fofbc pointed.Pointed[func(B) C, HKTBC],
+
+	faa functor.Functor[A, A, HKTA, HKTA],
+
+	fmap functor.Functor[func(B) C, func(func(A) B) func(A) C, HKTBC, HKTABAC],
+
+	chainab chain.Chainable[A, B, HKTA, HKTB, HKTAB],
+	chainac chain.Chainable[A, C, HKTA, HKTC, HKTAC],
+	chainbc chain.Chainable[B, C, HKTB, HKTC, HKTBC],
+
+	fapabac apply.Apply[func(A) B, func(A) C, HKTAB, HKTAC, HKTABAC],
+
+	ab func(A) B,
+	bc func(B) C,
+) func(fa HKTA) bool {
+	// apply laws
+	apply := L.ApplyAssertLaws(t, eqa, eqc, fofab, fofbc, faa, fmap, chain.ToApply(chainab), chain.ToApply(chainbc), chain.ToApply(chainac), fapabac, ab, bc)
+	// chain laws
+	associativity := ChainAssertAssociativity(t, eqc, fofb, fofc, chainab, chainac, chainbc, ab, bc)
 
 	return func(fa HKTA) bool {
 		return apply(fa) && associativity(fa)

internal/chain/types.go

@@ -0,0 +1,36 @@
+// Copyright (c) 2024 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 chain
+
+import (
+	"github.com/IBM/fp-go/internal/apply"
+	"github.com/IBM/fp-go/internal/functor"
+)
+
+type Chainable[A, B, HKTA, HKTB, HKTFAB any] interface {
+	apply.Apply[A, B, HKTA, HKTB, HKTFAB]
+	Chain(func(A) HKTB) func(HKTA) HKTB
+}
+
+// ToFunctor converts from [Chainable] to [functor.Functor]
+func ToFunctor[A, B, HKTA, HKTB, HKTFAB any](ap Chainable[A, B, HKTA, HKTB, HKTFAB]) functor.Functor[A, B, HKTA, HKTB] {
+	return ap
+}
+
+// ToApply converts from [Chainable] to [functor.Functor]
+func ToApply[A, B, HKTA, HKTB, HKTFAB any](ap Chainable[A, B, HKTA, HKTB, HKTFAB]) apply.Apply[A, B, HKTA, HKTB, HKTFAB] {
+	return ap
+}

internal/eithert/either.go

@@ -51,6 +51,14 @@ func MonadMap[E, A, B, HKTFA, HKTFB any](fmap func(HKTFA, func(ET.Either[E, A])
 	return FC.MonadMap(fmap, ET.MonadMap[E, A, B], fa, f)
 }
 
+func Map[E, A, B, HKTFA, HKTFB any](
+	fmap func(func(ET.Either[E, A]) ET.Either[E, B]) func(HKTFA) HKTFB,
+	f func(A) B) func(HKTFA) HKTFB {
+	// HKTGA = Either[E, A]
+	// HKTGB = Either[E, B]
+	return FC.Map(fmap, ET.Map[E, A, B], f)
+}
+
 // HKTFA = HKT<F, Either<E, A>>
 // HKTFB = HKT<F, Either<E, B>>
 func MonadBiMap[E1, E2, A, B, HKTFA, HKTFB any](fmap func(HKTFA, func(ET.Either[E1, A]) ET.Either[E2, B]) HKTFB, fa HKTFA, f func(E1) E2, g func(A) B) HKTFB {
@@ -61,10 +69,12 @@ func MonadBiMap[E1, E2, A, B, HKTFA, HKTFB any](fmap func(HKTFA, func(ET.Either[
 
 // HKTFA = HKT<F, Either<E, A>>
 // HKTFB = HKT<F, Either<E, B>>
-func BiMap[E1, E2, A, B, HKTFA, HKTFB any](fmap func(HKTFA, func(ET.Either[E1, A]) ET.Either[E2, B]) HKTFB, f func(E1) E2, g func(A) B) func(HKTFA) HKTFB {
+func BiMap[E1, E2, A, B, HKTFA, HKTFB any](
+	fmap func(func(ET.Either[E1, A]) ET.Either[E2, B]) func(HKTFA) HKTFB,
+	f func(E1) E2, g func(A) B) func(HKTFA) HKTFB {
 	// HKTGA = Either[E, A]
 	// HKTGB = Either[E, B]
-	return F.Bind2nd(fmap, ET.BiMap(f, g))
+	return fmap(ET.BiMap(f, g))
 }
 
 // HKTFA = HKT<F, Either<E, A>>
@@ -78,22 +88,29 @@ func MonadChain[E, A, B, HKTFA, HKTFB any](
 	return fchain(ma, ET.Fold(F.Flow2(ET.Left[B, E], fof), f))
 }
 
-// func(fa func(R) T.Task[ET.Either[E, func(A) B]], f func(ET.Either[E, func(A) B]) func(ET.Either[E, A]) ET.Either[E, B]) GEFAB
+func Chain[E, A, B, HKTFA, HKTFB any](
+	fchain func(func(ET.Either[E, A]) HKTFB) func(HKTFA) HKTFB,
+	fof func(ET.Either[E, B]) HKTFB,
+	f func(A) HKTFB) func(HKTFA) HKTFB {
+	// dispatch to the even more generic implementation
+	return fchain(ET.Fold(F.Flow2(ET.Left[B, E], fof), f))
+}
 
-// HKTFA   = HKT[Either[E, A]]
-// HKTFB   = HKT[Either[E, B]]
-// HKTFAB  = HKT[Either[E, func(A)B]]
 func MonadAp[E, A, B, HKTFAB, HKTFGAB, HKTFA, HKTFB any](
 	fap func(HKTFGAB, HKTFA) HKTFB,
 	fmap func(HKTFAB, func(ET.Either[E, func(A) B]) func(ET.Either[E, A]) ET.Either[E, B]) HKTFGAB,
 	fab HKTFAB,
 	fa HKTFA) HKTFB {
-	// HKTGA  = ET.Either[E, A]
-	// HKTGB  = ET.Either[E, B]
-	// HKTGAB = ET.Either[E, func(a A) B]
 	return apply.MonadAp(fap, fmap, ET.MonadAp[B, E, A], fab, fa)
 }
 
+func Ap[E, A, B, HKTFAB, HKTFGAB, HKTFA, HKTFB any](
+	fap func(HKTFA) func(HKTFGAB) HKTFB,
+	fmap func(func(ET.Either[E, func(A) B]) func(ET.Either[E, A]) ET.Either[E, B]) func(HKTFAB) HKTFGAB,
+	fa HKTFA) func(HKTFAB) HKTFB {
+	return apply.Ap(fap, fmap, ET.Ap[B, E, A], fa)
+}
+
 func Right[E, A, HKTA any](fof func(ET.Either[E, A]) HKTA, a A) HKTA {
 	return F.Pipe2(a, ET.Right[E, A], fof)
 }
@@ -142,3 +159,7 @@ func OrLeft[E1, E2, A, HKTE1A, HKTE2, HKTE2A any](
 func MonadMapLeft[E, A, B, HKTFA, HKTFB any](fmap func(HKTFA, func(ET.Either[E, A]) ET.Either[B, A]) HKTFB, fa HKTFA, f func(E) B) HKTFB {
 	return FC.MonadMap(fmap, ET.MonadMapLeft[E, A, B], fa, f)
 }
+
+func MapLeft[E, A, B, HKTFA, HKTFB any](fmap func(func(ET.Either[E, A]) ET.Either[B, A]) func(HKTFA) HKTFB, f func(E) B) func(HKTFA) HKTFB {
+	return FC.Map(fmap, ET.MapLeft[A, E, B], f)
+}

internal/exec/exec.go

@@ -23,7 +23,7 @@ import (
 
 	EX "github.com/IBM/fp-go/exec"
 
-	T "github.com/IBM/fp-go/tuple"
+	P "github.com/IBM/fp-go/pair"
 )
 
 func Exec(ctx context.Context, name string, args []string, in []byte) (EX.CommandOutput, error) {
@@ -42,5 +42,5 @@ func Exec(ctx context.Context, name string, args []string, in []byte) (EX.Comman
 		err = fmt.Errorf("command execution of [%s][%s] failed, stdout [%s], stderr [%s], cause [%w]", name, args, stdOut.String(), stdErr.String(), err)
 	}
 	// return the outputs
-	return T.MakeTuple2(stdOut.Bytes(), stdErr.Bytes()), err
+	return P.MakePair(stdOut.Bytes(), stdErr.Bytes()), err
 }

internal/foldable/types.go

@@ -0,0 +1,26 @@
+// Copyright (c) 2024 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 foldable
+
+import (
+	M "github.com/IBM/fp-go/monoid"
+)
+
+type Foldable[A, B, HKTA any] interface {
+	Reduce(func(B, A) B, B) func(HKTA) B
+	ReduceRight(func(B, A) B, B) func(HKTA) B
+	FoldMap(m M.Monoid[B]) func(func(A) B) func(HKTA) B
+}

internal/fromeither/either.go

@@ -60,6 +60,13 @@ func MonadChainEitherK[A, E, B, HKTEA, HKTEB any](
 	return mchain(ma, F.Flow2(f, fromEither))
 }
 
+func ChainEitherK[A, E, B, HKTEA, HKTEB any](
+	mchain func(func(A) HKTEB) func(HKTEA) HKTEB,
+	fromEither func(ET.Either[E, B]) HKTEB,
+	f func(A) ET.Either[E, B]) func(HKTEA) HKTEB {
+	return mchain(F.Flow2(f, fromEither))
+}
+
 func ChainOptionK[A, E, B, HKTEA, HKTEB any](
 	mchain func(HKTEA, func(A) HKTEB) HKTEB,
 	fromEither func(ET.Either[E, B]) HKTEB,
@@ -78,8 +85,8 @@ func MonadChainFirstEitherK[A, E, B, HKTEA, HKTEB any](
 }
 
 func ChainFirstEitherK[A, E, B, HKTEA, HKTEB any](
-	mchain func(HKTEA, func(A) HKTEA) HKTEA,
-	mmap func(HKTEB, func(B) A) HKTEA,
+	mchain func(func(A) HKTEA) func(HKTEA) HKTEA,
+	mmap func(func(B) A) func(HKTEB) HKTEA,
 	fromEither func(ET.Either[E, B]) HKTEB,
 	f func(A) ET.Either[E, B]) func(HKTEA) HKTEA {
 	return C.ChainFirst(mchain, mmap, F.Flow2(f, fromEither))

internal/fromeither/types.go

@@ -0,0 +1,24 @@
+// Copyright (c) 2024 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 fromeither
+
+import (
+	ET "github.com/IBM/fp-go/either"
+)
+
+type FromEither[E, A, HKTA any] interface {
+	FromEither(ET.Either[E, A]) HKTA
+}

internal/fromio/io.go

@@ -30,8 +30,8 @@ func MonadChainFirstIOK[A, B, HKTA, HKTB any, GIOB ~func() B](
 }
 
 func ChainFirstIOK[A, B, HKTA, HKTB any, GIOB ~func() B](
-	mchain func(HKTA, func(A) HKTA) HKTA,
-	mmap func(HKTB, func(B) A) HKTA,
+	mchain func(func(A) HKTA) func(HKTA) HKTA,
+	mmap func(func(B) A) func(HKTB) HKTA,
 	fromio func(GIOB) HKTB,
 	f func(A) GIOB) func(HKTA) HKTA {
 	// chain
@@ -47,7 +47,7 @@ func MonadChainIOK[GR ~func() B, A, B, HKTA, HKTB any](
 }
 
 func ChainIOK[GR ~func() B, A, B, HKTA, HKTB any](
-	mchain func(HKTA, func(A) HKTB) HKTB,
+	mchain func(func(A) HKTB) func(HKTA) HKTB,
 	fromio func(GR) HKTB,
 	f func(A) GR) func(HKTA) HKTB {
 	// chain

internal/fromio/types.go

@@ -0,0 +1,20 @@
+// Copyright (c) 2024 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 fromio
+
+type FromIO[A, GA ~func() A, HKTA any] interface {
+	FromIO(GA) HKTA
+}

internal/fromioeither/ioeither.go

@@ -31,8 +31,8 @@ func MonadChainFirstIOEitherK[GIOB ~func() ET.Either[E, B], E, A, B, HKTA, HKTB
 }
 
 func ChainFirstIOEitherK[GIOB ~func() ET.Either[E, B], E, A, B, HKTA, HKTB any](
-	mchain func(HKTA, func(A) HKTA) HKTA,
-	mmap func(HKTB, func(B) A) HKTA,
+	mchain func(func(A) HKTA) func(HKTA) HKTA,
+	mmap func(func(B) A) func(HKTB) HKTA,
 	fromio func(GIOB) HKTB,
 	f func(A) GIOB) func(HKTA) HKTA {
 	// chain
@@ -48,7 +48,7 @@ func MonadChainIOEitherK[GIOB ~func() ET.Either[E, B], E, A, B, HKTA, HKTB any](
 }
 
 func ChainIOEitherK[GIOB ~func() ET.Either[E, B], E, A, B, HKTA, HKTB any](
-	mchain func(HKTA, func(A) HKTB) HKTB,
+	mchain func(func(A) HKTB) func(HKTA) HKTB,
 	fromio func(GIOB) HKTB,
 	f func(A) GIOB) func(HKTA) HKTB {
 	// chain

internal/functor/flap.go

@@ -15,23 +15,24 @@
 
 package functor
 
+func flap[FAB ~func(A) B, A, B any](a A) func(FAB) B {
+	return func(f FAB) B {
+		return f(a)
+	}
+}
+
 func MonadFlap[FAB ~func(A) B, A, B, HKTFAB, HKTB any](
 	fmap func(HKTFAB, func(FAB) B) HKTB,
 
 	fab HKTFAB,
 	a A,
 ) HKTB {
-	return fmap(fab, func(f FAB) B {
-		return f(a)
-	})
+	return fmap(fab, flap[FAB, A, B](a))
 }
 
 func Flap[FAB ~func(A) B, A, B, HKTFAB, HKTB any](
-	fmap func(HKTFAB, func(FAB) B) HKTB,
-
+	fmap func(func(FAB) B) func(HKTFAB) HKTB,
 	a A,
 ) func(HKTFAB) HKTB {
-	return func(fab HKTFAB) HKTB {
-		return MonadFlap(fmap, fab, a)
-	}
+	return fmap(flap[FAB, A, B](a))
 }

internal/functor/functor.go

@@ -21,6 +21,46 @@ import (
 
 // HKTFGA = HKT[F, HKT[G, A]]
 // HKTFGB = HKT[F, HKT[G, B]]
-func MonadMap[A, B, HKTGA, HKTGB, HKTFGA, HKTFGB any](fmap func(HKTFGA, func(HKTGA) HKTGB) HKTFGB, gmap func(HKTGA, func(A) B) HKTGB, fa HKTFGA, f func(A) B) HKTFGB {
+func MonadMap[A, B, HKTGA, HKTGB, HKTFGA, HKTFGB any](
+	fmap func(HKTFGA, func(HKTGA) HKTGB) HKTFGB,
+	gmap func(HKTGA, func(A) B) HKTGB,
+	fa HKTFGA,
+	f func(A) B) HKTFGB {
 	return fmap(fa, F.Bind2nd(gmap, f))
 }
+
+func Map[A, B, HKTGA, HKTGB, HKTFGA, HKTFGB any](
+	fmap func(func(HKTGA) HKTGB) func(HKTFGA) HKTFGB,
+	gmap func(func(A) B) func(HKTGA) HKTGB,
+	f func(A) B) func(HKTFGA) HKTFGB {
+	return fmap(gmap(f))
+}
+
+func MonadLet[S1, S2, B, HKTS1, HKTS2 any](
+	mmap func(HKTS1, func(S1) S2) HKTS2,
+	first HKTS1,
+	key func(B) func(S1) S2,
+	f func(S1) B,
+) HKTS2 {
+	return mmap(first, func(s1 S1) S2 {
+		return key(f(s1))(s1)
+	})
+}
+
+func Let[S1, S2, B, HKTS1, HKTS2 any](
+	mmap func(func(S1) S2) func(HKTS1) HKTS2,
+	key func(B) func(S1) S2,
+	f func(S1) B,
+) func(HKTS1) HKTS2 {
+	return mmap(func(s1 S1) S2 {
+		return key(f(s1))(s1)
+	})
+}
+
+func LetTo[S1, S2, B, HKTS1, HKTS2 any](
+	mmap func(func(S1) S2) func(HKTS1) HKTS2,
+	key func(B) func(S1) S2,
+	b B,
+) func(HKTS1) HKTS2 {
+	return mmap(key(b))
+}