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fix: document statereaderioeither

Signed-off-by: Dr. Carsten Leue <carsten.leue@de.ibm.com>
This commit is contained in:
Dr. Carsten Leue
2025-11-18 16:06:56 +01:00
parent 77dde302ef
commit 6d94697128
6 changed files with 1084 additions and 13 deletions

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// Copyright (c) 2024 - 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 statereaderioeither provides a functional programming abstraction that combines
// four powerful concepts: State, Reader, IO, and Either monads.
//
// # StateReaderIOEither
//
// StateReaderIOEither[S, R, E, A] represents a computation that:
// - Manages state of type S (State)
// - Depends on some context/environment of type R (Reader)
// - Performs side effects (IO)
// - Can fail with an error of type E or succeed with a value of type A (Either)
//
// The type is defined as:
//
// StateReaderIOEither[S, R, E, A] = Reader[S, ReaderIOEither[R, E, Pair[S, A]]]
//
// This is particularly useful for:
// - Stateful computations with dependency injection
// - Error handling in effectful computations with state
// - Composing operations that need access to shared configuration, manage state, and can fail
//
// # Core Operations
//
// Construction:
// - Of/Right: Create a successful computation with a value
// - Left: Create a failed computation with an error
// - FromState: Lift a State into StateReaderIOEither
// - FromReader: Lift a Reader into StateReaderIOEither
// - FromIO: Lift an IO into StateReaderIOEither
// - FromEither: Lift an Either into StateReaderIOEither
// - FromIOEither: Lift an IOEither into StateReaderIOEither
// - FromReaderEither: Lift a ReaderEither into StateReaderIOEither
// - FromReaderIOEither: Lift a ReaderIOEither into StateReaderIOEither
//
// Transformation:
// - Map: Transform the success value
// - Chain: Sequence dependent computations (monadic bind)
// - Flatten: Flatten nested StateReaderIOEither
//
// Combination:
// - Ap: Apply a function in a context to a value in a context
//
// Context Access:
// - Asks: Get a value derived from the context
// - Local: Run a computation with a modified context
//
// Kleisli Arrows:
// - FromEitherK: Lift an Either-returning function to a Kleisli arrow
// - FromIOK: Lift an IO-returning function to a Kleisli arrow
// - FromIOEitherK: Lift an IOEither-returning function to a Kleisli arrow
// - FromReaderIOEitherK: Lift a ReaderIOEither-returning function to a Kleisli arrow
// - ChainEitherK: Chain with an Either-returning function
// - ChainIOEitherK: Chain with an IOEither-returning function
// - ChainReaderIOEitherK: Chain with a ReaderIOEither-returning function
//
// Do Notation (Monadic Composition):
// - Do: Start a do-notation chain
// - Bind: Bind a value from a computation
// - BindTo: Bind a value to a simple constructor
// - Let: Compute a derived value
// - LetTo: Set a constant value
// - ApS: Apply in sequence (for applicative composition)
// - BindL/ApSL/LetL/LetToL: Lens-based variants for working with nested structures
//
// # Example Usage
//
// type Config struct {
// DatabaseURL string
// MaxRetries int
// }
//
// type AppState struct {
// RequestCount int
// LastError error
// }
//
// // A computation that manages state, depends on config, performs IO, and can fail
// func processRequest(data string) statereaderioeither.StateReaderIOEither[AppState, Config, error, string] {
// return func(state AppState) readerioeither.ReaderIOEither[Config, error, pair.Pair[AppState, string]] {
// return func(cfg Config) ioeither.IOEither[error, pair.Pair[AppState, string]] {
// return func() either.Either[error, pair.Pair[AppState, string]] {
// // Use cfg.DatabaseURL and cfg.MaxRetries
// // Update state.RequestCount
// // Perform IO operations
// // Return either.Right(pair.MakePair(newState, result)) or either.Left(err)
// newState := AppState{RequestCount: state.RequestCount + 1}
// return either.Right(pair.MakePair(newState, "processed: " + data))
// }
// }
// }
// }
//
// // Compose operations using do-notation
// result := function.Pipe3(
// statereaderioeither.Do[AppState, Config, error](State{}),
// statereaderioeither.Bind(
// func(result string) func(State) State { return func(s State) State { return State{result: result} } },
// func(s State) statereaderioeither.StateReaderIOEither[AppState, Config, error, string] {
// return processRequest(s.input)
// },
// ),
// statereaderioeither.Map[AppState, Config, error](func(s State) string { return s.result }),
// )
//
// // Execute with initial state and config
// initialState := AppState{RequestCount: 0}
// config := Config{DatabaseURL: "postgres://localhost", MaxRetries: 3}
// outcome := result(initialState)(config)() // Returns either.Either[error, pair.Pair[AppState, string]]
//
// # Monad Laws
//
// StateReaderIOEither satisfies the monad laws:
// - Left Identity: Of(a) >>= f ≡ f(a)
// - Right Identity: m >>= Of ≡ m
// - Associativity: (m >>= f) >>= g ≡ m >>= (x => f(x) >>= g)
//
// These laws are verified in the testing subpackage.
package statereaderioeither