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;;;; License: CC0-1.0

(define-module (net ricketyspace sicp two twentynine)
  #:export (make-mobile
            make-branch
            left-branch
            right-branch
            branch-length
            branch-structure
            total-weight
            mobile-balanced?))

(define (make-mobile left right)
  (list left right))

(define (make-branch length structure)
  (list length structure))

(define (left-branch mobile)
  (car mobile))

(define (right-branch mobile)
  (car (cdr mobile)))

(define (branch-length branch)
  (car branch))

(define (branch-structure branch)
  (car (cdr branch)))

(define (branch-weight b)
  (let ((bs (branch-structure b)))
    (cond ((not (pair? bs)) bs)
          (else (+ (branch-weight (left-branch bs))
                   (branch-weight (right-branch bs)))))))

(define (total-weight mobile)
  (+ (branch-weight (left-branch mobile))
     (branch-weight (right-branch mobile))))

(define (has-submobile? branch)
  (not (number? (branch-structure branch))))

(define (torque branch)
  (* (branch-length branch)
     (branch-weight branch)))

(define (mobile-balanced? m)
  (let ((lb (left-branch m))
        (rb (right-branch m)))
    (and
     (cond ((has-submobile? lb)
            (mobile-balanced? (branch-structure lb)))
           (else #t))
     (cond ((has-submobile? rb)
            (mobile-balanced? (branch-structure rb)))
           (else #t))
     (= (torque lb) (torque rb)))))

;;; Guile REPL
;;;
;;; scheme@(guile-user)> (make-mobile
;;;                        (make-branch 3 45)
;;;                        (make-branch 4
;;;                                     (make-mobile (make-branch 5 50)
;;;                                                  (make-branch 1 20))))
;;; $11 = ((3 45) (4 ((5 50) (1 20))))
;;; scheme@(guile-user)> (left-branch $11)
;;; $12 = (3 45)
;;; scheme@(guile-user)> (right-branch $11)
;;; $13 = (4 ((5 50) (1 20)))
;;; scheme@(guile-user)> (branch-length (left-branch $11))
;;; $14 = 3
;;; scheme@(guile-user)> (branch-structure (left-branch $11))
;;; $15 = 45
;;; scheme@(guile-user)> (branch-length (right-branch $11))
;;; $16 = 4
;;; scheme@(guile-user)> (branch-structure (right-branch $11))
;;; $17 = ((5 50) (1 20))
;;; scheme@(guile-user)> (branch-structure (right-branch $11))
;;; $18 = ((5 50) (1 20))
;;; scheme@(guile-user)> (left-branch (branch-structure (right-branch $11)))
;;; $19 = (5 50)
;;; scheme@(guile-user)> (right-branch (branch-structure (right-branch $11)))
;;; $20 = (1 20)
;;; scheme@(guile-user)> (total-weight $11)
;;; $21 = 115