Functional Programming

3.

Core Techniques and Patterns

3.1.

Function Composition

3.1.1.

Chaining Functions

3.1.2.

Point-Free Style

3.1.3.

3.1.4.

Benefits of Composition

3.1.5.

Composition Operators

3.1.6.

Pipeline Patterns

3.2.

3.2.1.

Replacing Imperative Loops

3.2.2.

Base Cases and Recursive Steps

3.2.3.

3.2.4.

Tail Call Optimization

3.2.5.

Structural vs. Accumulative Recursion

3.2.6.

Mutual Recursion

3.2.7.

Recursion Patterns

3.2.7.1.

Linear Recursion

3.2.7.2.

3.2.7.3.

Indirect Recursion

3.2.8.

Converting Iteration to Recursion

3.3.

Currying and Partial Application

3.3.1.

Transforming Functions of Multiple Arguments

3.3.2.

Currying vs. Partial Application

3.3.3.

Creating Specialized Functions

3.3.4.

Practical Use Cases

3.3.5.

3.3.6.

Uncurrying Functions

3.4.

3.4.1.

Definition and Mechanism

3.4.2.

Lexical Scoping

3.4.3.

Capturing Variables

3.4.4.

Practical Applications

3.4.4.1.

3.4.4.2.

Function Factories

3.4.4.3.

3.4.4.4.

Configuration Management

3.4.5.

Memory Considerations

3.5.

Handling Data Structures

3.5.1.

Persistent Data Structures

3.5.1.1.

Definition and Benefits

3.5.1.2.

Implementation Strategies

3.5.1.3.

Structural Sharing

3.5.2.

Lists and List Operations

3.5.2.1.

Construction and Deconstruction

3.5.2.2.

3.5.2.3.

3.5.2.4.

Folding and Reducing

3.5.2.5.

Zipping and Unzipping

3.5.2.6.

List Comprehensions

3.5.3.

3.5.3.1.

3.5.3.2.

3.5.3.3.

Recursive Traversal

3.5.3.4.

Mapping and Folding over Trees

3.5.3.5.

Tree Construction Patterns

3.5.4.

Other Data Structures

3.5.4.1.

3.5.4.2.

Maps and Dictionaries

3.5.4.3.

Queues and Stacks

3.5.4.4.

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4. Type Systems in Functional Programming