// Copyright (c) 2023 - 2025 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 endomorphism import ( "testing" M "github.com/IBM/fp-go/v2/monoid" S "github.com/IBM/fp-go/v2/semigroup" "github.com/stretchr/testify/assert" ) // Test helper functions func double(x int) int { return x * 2 } func increment(x int) int { return x + 1 } func square(x int) int { return x * x } func negate(x int) int { return -x } // TestCurry2 tests the Curry2 function func TestCurry2(t *testing.T) { add := func(x, y int) int { return x + y } curriedAdd := Curry2(add) addFive := curriedAdd(5) result := addFive(10) assert.Equal(t, 15, result, "Curry2 should curry binary function correctly") // Test with different values addTen := curriedAdd(10) assert.Equal(t, 25, addTen(15), "Curry2 should work with different values") } // TestCurry3 tests the Curry3 function func TestCurry3(t *testing.T) { combine := func(x, y, z int) int { return x + y + z } curriedCombine := Curry3(combine) addTen := curriedCombine(5)(5) result := addTen(20) assert.Equal(t, 30, result, "Curry3 should curry ternary function correctly") // Test with different values addFifteen := curriedCombine(5)(10) assert.Equal(t, 35, addFifteen(20), "Curry3 should work with different values") } // TestMonadAp tests the MonadAp function func TestMonadAp(t *testing.T) { result := MonadAp(double, 5) assert.Equal(t, 10, result, "MonadAp should apply endomorphism to value") result2 := MonadAp(increment, 10) assert.Equal(t, 11, result2, "MonadAp should work with different endomorphisms") result3 := MonadAp(square, 4) assert.Equal(t, 16, result3, "MonadAp should work with square function") } // TestAp tests the Ap function func TestAp(t *testing.T) { applyFive := Ap(5) result := applyFive(double) assert.Equal(t, 10, result, "Ap should apply value to endomorphism") result2 := applyFive(increment) assert.Equal(t, 6, result2, "Ap should work with different endomorphisms") applyTen := Ap(10) result3 := applyTen(square) assert.Equal(t, 100, result3, "Ap should work with different values") } // TestMonadCompose tests the MonadCompose function func TestMonadCompose(t *testing.T) { // Test basic composition: RIGHT-TO-LEFT execution // MonadCompose(double, increment) means: increment first, then double composed := MonadCompose(double, increment) result := composed(5) assert.Equal(t, 12, result, "MonadCompose should execute right-to-left: (5 + 1) * 2 = 12") // Test composition order: RIGHT-TO-LEFT execution // MonadCompose(increment, double) means: double first, then increment composed2 := MonadCompose(increment, double) result2 := composed2(5) assert.Equal(t, 11, result2, "MonadCompose should execute right-to-left: (5 * 2) + 1 = 11") // Test with three compositions: RIGHT-TO-LEFT execution // MonadCompose(MonadCompose(double, increment), square) means: square, then increment, then double complex := MonadCompose(MonadCompose(double, increment), square) result3 := complex(5) // 5 -> square -> 25 -> increment -> 26 -> double -> 52 assert.Equal(t, 52, result3, "MonadCompose should work with nested compositions: square(5)=25, +1=26, *2=52") } // TestMonadChain tests the MonadChain function func TestMonadChain(t *testing.T) { // MonadChain executes LEFT-TO-RIGHT (first arg first, second arg second) chained := MonadChain(double, increment) result := chained(5) assert.Equal(t, 11, result, "MonadChain should execute left-to-right: (5 * 2) + 1 = 11") chained2 := MonadChain(increment, double) result2 := chained2(5) assert.Equal(t, 12, result2, "MonadChain should execute left-to-right: (5 + 1) * 2 = 12") // Test with negative values chained3 := MonadChain(negate, increment) result3 := chained3(5) assert.Equal(t, -4, result3, "MonadChain should execute left-to-right: -(5) + 1 = -4") } // TestChain tests the Chain function func TestChain(t *testing.T) { // Chain(f) returns a function that applies its argument first, then f chainWithIncrement := Chain(increment) // chainWithIncrement(double) means: double first, then increment chained := chainWithIncrement(double) result := chained(5) assert.Equal(t, 11, result, "Chain should execute left-to-right: (5 * 2) + 1 = 11") chainWithDouble := Chain(double) // chainWithDouble(increment) means: increment first, then double chained2 := chainWithDouble(increment) result2 := chained2(5) assert.Equal(t, 12, result2, "Chain should execute left-to-right: (5 + 1) * 2 = 12") // Test chaining with square chainWithSquare := Chain(square) // chainWithSquare(double) means: double first, then square chained3 := chainWithSquare(double) result3 := chained3(3) assert.Equal(t, 36, result3, "Chain should execute left-to-right: (3 * 2) ^ 2 = 36") } // TestCompose tests the curried Compose function func TestCompose(t *testing.T) { // Compose(g) returns a function that applies g first, then its argument composeWithIncrement := Compose(increment) // composeWithIncrement(double) means: increment first, then double composed := composeWithIncrement(double) result := composed(5) assert.Equal(t, 12, result, "Compose should execute right-to-left: (5 + 1) * 2 = 12") composeWithDouble := Compose(double) // composeWithDouble(increment) means: double first, then increment composed2 := composeWithDouble(increment) result2 := composed2(5) assert.Equal(t, 11, result2, "Compose should execute right-to-left: (5 * 2) + 1 = 11") // Test composing with square composeWithSquare := Compose(square) // composeWithSquare(double) means: square first, then double composed3 := composeWithSquare(double) result3 := composed3(3) assert.Equal(t, 18, result3, "Compose should execute right-to-left: (3 ^ 2) * 2 = 18") } // TestMonadComposeVsCompose demonstrates the relationship between MonadCompose and Compose func TestMonadComposeVsCompose(t *testing.T) { double := func(x int) int { return x * 2 } increment := func(x int) int { return x + 1 } // MonadCompose takes both functions at once monadComposed := MonadCompose(double, increment) result1 := monadComposed(5) // (5 + 1) * 2 = 12 // Compose is the curried version - takes one function, returns a function curriedCompose := Compose(increment) composed := curriedCompose(double) result2 := composed(5) // (5 + 1) * 2 = 12 assert.Equal(t, result1, result2, "MonadCompose and Compose should produce the same result") assert.Equal(t, 12, result1, "Both should execute right-to-left: (5 + 1) * 2 = 12") // Demonstrate that Compose(g)(f) is equivalent to MonadCompose(f, g) assert.Equal(t, MonadCompose(double, increment)(5), Compose(increment)(double)(5), "Compose(g)(f) should equal MonadCompose(f, g)") } // TestOf tests the Of function func TestOf(t *testing.T) { endo := Of(double) result := endo(5) assert.Equal(t, 10, result, "Of should convert function to endomorphism") endo2 := Of(increment) result2 := endo2(10) assert.Equal(t, 11, result2, "Of should work with different functions") } // TestWrap tests the Wrap function (deprecated) func TestWrap(t *testing.T) { endo := Wrap(double) result := endo(5) assert.Equal(t, 10, result, "Wrap should convert function to endomorphism") } // TestUnwrap tests the Unwrap function (deprecated) func TestUnwrap(t *testing.T) { endo := Of(double) unwrapped := Unwrap[func(int) int](endo) result := unwrapped(5) assert.Equal(t, 10, result, "Unwrap should convert endomorphism to function") } // TestIdentity tests the Identity function func TestIdentity(t *testing.T) { id := Identity[int]() // Identity should return input unchanged assert.Equal(t, 42, id(42), "Identity should return input unchanged") assert.Equal(t, 0, id(0), "Identity should work with zero") assert.Equal(t, -10, id(-10), "Identity should work with negative values") // Identity should be neutral for composition (RIGHT-TO-LEFT) // Compose(id, double) means: double first, then id composed1 := MonadCompose(id, double) assert.Equal(t, 10, composed1(5), "Identity should be left neutral: double(5) = 10") // Compose(double, id) means: id first, then double composed2 := MonadCompose(double, id) assert.Equal(t, 10, composed2(5), "Identity should be right neutral: id(5) then double = 10") // Test with strings idStr := Identity[string]() assert.Equal(t, "hello", idStr("hello"), "Identity should work with strings") } // TestSemigroup tests the Semigroup function func TestSemigroup(t *testing.T) { sg := Semigroup[int]() // Test basic concat (RIGHT-TO-LEFT execution via Compose) // Concat(double, increment) means: increment first, then double combined := sg.Concat(double, increment) result := combined(5) assert.Equal(t, 12, result, "Semigroup concat should execute right-to-left: (5 + 1) * 2 = 12") // Test associativity: (f . g) . h = f . (g . h) f := double g := increment h := square left := sg.Concat(sg.Concat(f, g), h) right := sg.Concat(f, sg.Concat(g, h)) testValue := 3 assert.Equal(t, left(testValue), right(testValue), "Semigroup should be associative") // Test with ConcatAll from semigroup package (RIGHT-TO-LEFT) // ConcatAll(double)(increment, square) means: square, then increment, then double combined2 := S.ConcatAll(sg)(double)([]Endomorphism[int]{increment, square}) result2 := combined2(5) // 5 -> square -> 25 -> increment -> 26 -> double -> 52 assert.Equal(t, 52, result2, "Semigroup ConcatAll should execute right-to-left: square(5)=25, +1=26, *2=52") } // TestMonoid tests the Monoid function func TestMonoid(t *testing.T) { monoid := Monoid[int]() // Test that empty is identity empty := monoid.Empty() assert.Equal(t, 42, empty(42), "Monoid empty should be identity") // Test right identity: x . empty = x (RIGHT-TO-LEFT: empty first, then x) // Concat(double, empty) means: empty first, then double rightIdentity := monoid.Concat(double, empty) assert.Equal(t, 10, rightIdentity(5), "Monoid should satisfy right identity: empty(5) then double = 10") // Test left identity: empty . x = x (RIGHT-TO-LEFT: x first, then empty) // Concat(empty, double) means: double first, then empty leftIdentity := monoid.Concat(empty, double) assert.Equal(t, 10, leftIdentity(5), "Monoid should satisfy left identity: double(5) then empty = 10") // Test ConcatAll with multiple endomorphisms (RIGHT-TO-LEFT execution) combined := M.ConcatAll(monoid)([]Endomorphism[int]{double, increment, square}) result := combined(5) // RIGHT-TO-LEFT: square(5) = 25, increment(25) = 26, double(26) = 52 assert.Equal(t, 52, result, "Monoid ConcatAll should execute right-to-left: square(5)=25, +1=26, *2=52") // Test ConcatAll with empty list should return identity emptyResult := M.ConcatAll(monoid)([]Endomorphism[int]{}) assert.Equal(t, 42, emptyResult(42), "ConcatAll with no args should return identity") } // TestMonoidLaws tests that the Monoid satisfies monoid laws func TestMonoidLaws(t *testing.T) { monoid := Monoid[int]() empty := monoid.Empty() testCases := []struct { name string f Endomorphism[int] g Endomorphism[int] h Endomorphism[int] }{ {"basic", double, increment, square}, {"with negate", negate, double, increment}, {"with identity", Identity[int](), double, increment}, } for _, tc := range testCases { t.Run(tc.name, func(t *testing.T) { testValue := 5 // Right identity: x . empty = x rightId := monoid.Concat(tc.f, empty) assert.Equal(t, tc.f(testValue), rightId(testValue), "Right identity law") // Left identity: empty . x = x leftId := monoid.Concat(empty, tc.f) assert.Equal(t, tc.f(testValue), leftId(testValue), "Left identity law") // Associativity: (f . g) . h = f . (g . h) left := monoid.Concat(monoid.Concat(tc.f, tc.g), tc.h) right := monoid.Concat(tc.f, monoid.Concat(tc.g, tc.h)) assert.Equal(t, left(testValue), right(testValue), "Associativity law") }) } } // TestEndomorphismWithDifferentTypes tests endomorphisms with different types func TestEndomorphismWithDifferentTypes(t *testing.T) { // Test with strings (RIGHT-TO-LEFT execution) addExclamation := func(s string) string { return s + "!" } addPrefix := func(s string) string { return "Hello, " + s } // Compose(addExclamation, addPrefix) means: addPrefix first, then addExclamation strComposed := MonadCompose(addExclamation, addPrefix) result := strComposed("World") assert.Equal(t, "Hello, World!", result, "Compose should execute right-to-left with strings") // Test with float64 (RIGHT-TO-LEFT execution) doubleFloat := func(x float64) float64 { return x * 2.0 } addOne := func(x float64) float64 { return x + 1.0 } // Compose(doubleFloat, addOne) means: addOne first, then doubleFloat floatComposed := MonadCompose(doubleFloat, addOne) resultFloat := floatComposed(5.5) // 5.5 + 1.0 = 6.5, 6.5 * 2.0 = 13.0 assert.Equal(t, 13.0, resultFloat, "Compose should execute right-to-left: (5.5 + 1.0) * 2.0 = 13.0") } // TestComplexCompositions tests more complex composition scenarios func TestComplexCompositions(t *testing.T) { // Create a pipeline of transformations (RIGHT-TO-LEFT execution) // Innermost Compose is evaluated first in the composition chain pipeline := MonadCompose( MonadCompose( MonadCompose(double, increment), square, ), negate, ) // RIGHT-TO-LEFT: negate(5) = -5, square(-5) = 25, increment(25) = 26, double(26) = 52 result := pipeline(5) assert.Equal(t, 52, result, "Complex composition should execute right-to-left") // Test using monoid to build the same pipeline (RIGHT-TO-LEFT) monoid := Monoid[int]() pipelineMonoid := M.ConcatAll(monoid)([]Endomorphism[int]{double, increment, square, negate}) resultMonoid := pipelineMonoid(5) // RIGHT-TO-LEFT: negate(5) = -5, square(-5) = 25, increment(25) = 26, double(26) = 52 assert.Equal(t, 52, resultMonoid, "Monoid-based pipeline should match composition (right-to-left)") } // TestOperatorType tests the Operator type func TestOperatorType(t *testing.T) { // Create an operator that lifts an int endomorphism to work on the length of strings lengthOperator := func(f Endomorphism[int]) Endomorphism[string] { return func(s string) string { newLen := f(len(s)) if newLen > len(s) { // Pad with spaces for i := len(s); i < newLen; i++ { s += " " } } else if newLen < len(s) { // Truncate s = s[:newLen] } return s } } // Use the operator var op Operator[int, string] = lengthOperator doubleLength := op(double) result := doubleLength("hello") // len("hello") = 5, 5 * 2 = 10 assert.Equal(t, 10, len(result), "Operator should transform endomorphisms correctly") assert.Equal(t, "hello ", result, "Operator should pad string correctly") } // BenchmarkCompose benchmarks the Compose function func BenchmarkCompose(b *testing.B) { composed := MonadCompose(double, increment) b.ResetTimer() for i := 0; i < b.N; i++ { _ = composed(5) } } // BenchmarkMonoidConcatAll benchmarks ConcatAll with monoid // TestComposeVsChain demonstrates the key difference between Compose and Chain func TestComposeVsChain(t *testing.T) { double := func(x int) int { return x * 2 } increment := func(x int) int { return x + 1 } // Compose executes RIGHT-TO-LEFT // Compose(double, increment) means: increment first, then double composed := MonadCompose(double, increment) composedResult := composed(5) // (5 + 1) * 2 = 12 // MonadChain executes LEFT-TO-RIGHT // MonadChain(double, increment) means: double first, then increment chained := MonadChain(double, increment) chainedResult := chained(5) // (5 * 2) + 1 = 11 assert.Equal(t, 12, composedResult, "Compose should execute right-to-left") assert.Equal(t, 11, chainedResult, "MonadChain should execute left-to-right") assert.NotEqual(t, composedResult, chainedResult, "Compose and Chain should produce different results with non-commutative operations") // To get the same result with Compose, we need to reverse the order composedReversed := MonadCompose(increment, double) assert.Equal(t, chainedResult, composedReversed(5), "Compose with reversed args should match Chain") // Demonstrate with a more complex example square := func(x int) int { return x * x } // Compose: RIGHT-TO-LEFT composed3 := MonadCompose(MonadCompose(square, increment), double) // double(5) = 10, increment(10) = 11, square(11) = 121 result1 := composed3(5) // MonadChain: LEFT-TO-RIGHT chained3 := MonadChain(MonadChain(double, increment), square) // double(5) = 10, increment(10) = 11, square(11) = 121 result2 := chained3(5) assert.Equal(t, 121, result1, "Compose should execute right-to-left") assert.Equal(t, 121, result2, "MonadChain should execute left-to-right") assert.Equal(t, result1, result2, "Both should produce same result when operations are in correct order") } func BenchmarkMonoidConcatAll(b *testing.B) { monoid := Monoid[int]() combined := M.ConcatAll(monoid)([]Endomorphism[int]{double, increment, square}) b.ResetTimer() for i := 0; i < b.N; i++ { _ = combined(5) } } // BenchmarkChain benchmarks the Chain function func BenchmarkChain(b *testing.B) { chainWithIncrement := Chain(increment) chained := chainWithIncrement(double) b.ResetTimer() for i := 0; i < b.N; i++ { _ = chained(5) } }