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scheme.html.markdown
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---
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language: "Scheme"
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filename: scheme.scm
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contributors:
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- ["Bruno Ciccarino", "https://github.com/BrunoCiccarino"]
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---
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Scheme is a minimalist dialect of Lisp that is widely used in education, research, and industry. It emphasizes simplicity, powerful abstractions, and functional programming paradigms.
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A classic resource to learn Scheme is [Structure and Interpretation of Computer Programs (SICP)](https://web.mit.edu/6.001/6.037/sicp.pdf). For a modern introduction, consider [The Scheme Programming Language](https://www.scheme.org/).
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```scheme
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;;;-----------------------------------------------------------------------------
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;;; 0. Syntax
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;;;-----------------------------------------------------------------------------
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;;; General form
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;;; Scheme has two fundamental elements of syntax: ATOM and S-EXPRESSION.
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;;; S-expressions are used for both data and code.
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10 ; a number atom; evaluates to itself
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'symbol ; a symbol atom; evaluates to itself when quoted
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#t ; boolean true
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(+ 1 2 3) ; an s-expression (function application)
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'(4 'foo #t) ; quoted s-expression (a list)
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;;; Comments
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;;; Single-line comments start with a semicolon:
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; This is a single-line comment
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;;; Block comments use `#|` and `|#`:
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#| This is a block comment.
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It spans multiple lines.
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|#
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;;; REPL and environment
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;;; Scheme is typically developed interactively in a Read-Eval-Print Loop (REPL).
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;;; Implementations such as Racket, Guile, or MIT Scheme provide REPLs for interactive exploration.
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;;; Libraries and tools can be installed depending on the specific implementation.
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;;;-----------------------------------------------------------------------------
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;;; 1. Primitive datatypes and operators
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;;;-----------------------------------------------------------------------------
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;;; Numbers
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42 ; integers
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#b101 ; binary => 5
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#o777 ; octal => 511
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#xFF ; hexadecimal => 255
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3.14 ; floating-point numbers
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1/2 ; fractions (exact rational numbers)
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(make-rectangular 1 2) ; complex numbers
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;;; Basic arithmetic
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(+ 1 2) ; => 3
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(- 7 3) ; => 4
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(* 2 5) ; => 10
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(/ 10 3) ; => 10/3
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(sqrt 4) ; => 2
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(expt 2 3) ; => 8
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;;; Booleans
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#t ; true
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#f ; false
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(and #t #f) ; => #f
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(or #t #f) ; => #t
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(not #t) ; => #f
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;;; Strings
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"Hello, World!"
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(string-append "Hello, " "World!") ; => "Hello, World!"
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;;; Lists
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'(1 2 3) ; a list
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(cons 1 '(2 3)) ; => '(1 2 3)
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(car '(1 2 3)) ; => 1
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(cdr '(1 2 3)) ; => '(2 3)
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(append '(1 2) '(3 4)) ; => '(1 2 3 4)
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;;;-----------------------------------------------------------------------------
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;;; 2. Variables
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;;;-----------------------------------------------------------------------------
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;;; Define a variable
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(define x 10)
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x ; => 10
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;;; Define a local variable
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(let ((x 5)) (+ x 10)) ; => 15
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x ; => 10 (unchanged globally)
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;;;-----------------------------------------------------------------------------
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;;; 3. Functions
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;;;-----------------------------------------------------------------------------
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;;; Define a named function
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(define (square x)
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(* x x))
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(square 4) ; => 16
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;;; Define an anonymous (lambda) function
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((lambda (x) (* x x)) 5) ; => 25
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;;; Higher-order functions
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(define (apply-twice f x)
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(f (f x)))
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(apply-twice square 2) ; => 16
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;;;-----------------------------------------------------------------------------
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;;; 4. Conditionals and control flow
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;;;-----------------------------------------------------------------------------
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;;; If statements
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(if (> 5 3)
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'yes
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'no) ; => 'yes
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;;; Cond expressions (multi-branch conditionals)
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(cond
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[(< 5 3) 'less]
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[(> 5 3) 'greater]
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[else 'equal]) ; => 'greater
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;;;-----------------------------------------------------------------------------
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;;; 5. Structs and collections
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;;;-----------------------------------------------------------------------------
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;;; Define a structure
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(define-struct dog (name breed age))
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(define my-dog (make-dog "Fido" "Labrador" 5))
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(dog-name my-dog) ; => "Fido"
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(dog-age my-dog) ; => 5
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;;;-----------------------------------------------------------------------------
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;;; 6. Common patterns
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;;;-----------------------------------------------------------------------------
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;;; Recursive functions
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(define (factorial n)
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(if (= n 0)
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1
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(* n (factorial (- n 1)))))
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(factorial 5) ; => 120
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;;;-----------------------------------------------------------------------------
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;;; 7. Libraries and modules
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;;;-----------------------------------------------------------------------------
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;;; Importing libraries/modules depends on the implementation.
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;;; For example, in Racket:
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(require racket/math)
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(sqrt 16) ; => 4
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;;;-----------------------------------------------------------------------------
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;;; 8. Macros
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;;;-----------------------------------------------------------------------------
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;;; Macros allow you to create new syntactic constructs.
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(define-syntax when
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(syntax-rules ()
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[(when test body ...)
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(if test
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(begin body ...))]))
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(when #t
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(display "Condition is true!\n")) ; Output: Condition is true!
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;;;-----------------------------------------------------------------------------
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;;; 9. Input and Output (I/O)
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;;;-----------------------------------------------------------------------------
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;;; Printing to the console
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(display "Hello, Scheme!") ; => prints "Hello, Scheme!"
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(newline) ; => moves to the next line
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;;; Reading input
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(let ((user-input (read)))
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(display "You entered: ")
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(display user-input))
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;;; File I/O
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(define output-port (open-output-file "example.txt"))
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(display "Writing to a file." output-port)
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(close-output-port output-port)
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(define input-port (open-input-file "example.txt"))
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(let ((file-content (read input-port)))
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(display file-content))
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(close-input-port input-port)
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;;;-----------------------------------------------------------------------------
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;;; 10. Iteration
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;;;-----------------------------------------------------------------------------
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;;; Iterating with `do`
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(do ((i 0 (+ i 1))) ; initialize i to 0, increment by 1
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((>= i 5)) ; stop when i >= 5
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(display i) ; print i
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(newline))
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;;; Using recursion for iteration
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(define (countdown n)
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(if (= n 0)
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(display "Blastoff!\n")
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(begin
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(display n)
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(newline)
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(countdown (- n 1)))))
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(countdown 5) ; Output: 5 4 3 2 1 Blastoff!
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;;;-----------------------------------------------------------------------------
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;;; 11. Error handling
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;;;-----------------------------------------------------------------------------
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;;; Using `guard` for error handling (Racket example)
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(guard [e (displayln (format "Error: ~a" e))]
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(/ 1 0)) ; Output: Error: division by zero
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;;; Catching exceptions manually
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(with-handlers ([exn:fail? (lambda (e) (displayln "Caught an error!"))])
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(error "Something went wrong!")) ; Output: Caught an error!
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;;;-----------------------------------------------------------------------------
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;;; 12. Advanced concepts
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;;;-----------------------------------------------------------------------------
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;;; Continuations with `call/cc`
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(call/cc
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(lambda (cont)
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(display "Before continuation\n")
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(cont #f)
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(display "After continuation\n"))) ; Output: Before continuation
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;;; Lazy evaluation (streams)
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(define (make-stream start step)
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(cons start
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(lambda () (make-stream (+ start step) step))))
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(define nums (make-stream 0 1)) ; Infinite stream starting at 0, incrementing by 1
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(define (stream-ref stream n)
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(if (= n 0)
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(car stream)
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(stream-ref ((cdr stream)) (- n 1))))
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(stream-ref nums 5) ; => 5
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;;;-----------------------------------------------------------------------------
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;;; 13. Meta-programming
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;;;-----------------------------------------------------------------------------
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;;; Evaluate expressions dynamically
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(eval '(+ 1 2)) ; => 3
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;;; Quasiquoting for meta-programming
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`(1 2 ,(+ 3 4)) ; => '(1 2 7)
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```
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