The (aux schemer seasoned) module

The Seasoned Schemer

The Seasoned Schemer

Ported from on-scheme's seasoned-schemer.scm, after The Seasoned Schemer.

Implementation

(module
  (aux schemer seasoned)
  *
  (import
    scheme
    (chicken base)
    (aux base)
    (aux continuation)
    (aux continuation classic))
  (define multi-insert*&co
    (λ (new old_l old_r sexp coll)
       (let M ((sexp sexp) (coll coll))
         (cond ((null? sexp) (coll '() 0 0))
               ((atom? (car sexp))
                (cond ((equal? (car sexp) old_l)
                       (M (cdr sexp)
                          (λ (new_sexp L R)
                             (coll (cons new (cons old_l new_sexp))
                                   (add1 L)
                                   R))))
                      ((equal? (car sexp) old_r)
                       (M (cdr sexp)
                          (λ (new_sexp L R)
                             (coll (cons old_r (cons new new_sexp))
                                   L
                                   (add1 R)))))
                      (else
                       (M (cdr sexp)
                          (λ (new_sexp L R)
                             (coll (cons (car sexp) new_sexp) L R))))))
               (else
                (M (car sexp)
                   (λ (new_sexp_car L_car R_car)
                      (M (cdr sexp)
                         (λ (new_sexp_cdr L_cdr R_cdr)
                            (coll (cons new_sexp_car new_sexp_cdr)
                                  (+ L_car L_cdr)
                                  (+ R_car R_cdr)))))))))))
  (define two-in-a-row?
    (λ (lat)
       (cond ((null? lat) #f)
             (else
              (let T ((preceding (car lat)) (rest (cdr lat)))
                (cond ((null? rest) #f)
                      (else
                       (or (equal? preceding (car rest))
                           (T (car rest) (cdr rest))))))))))
  (define two-in-a-row?&hop
    (λ (lat)
       (cond ((null? lat) #f)
             (else
              (letcc hop
                     (let T ((preceding (car lat)) (rest (cdr lat)))
                       (cond ((null? rest) (hop #f))
                             ((equal? preceding (car rest)) (hop #t))
                             (else (T (car rest) (cdr rest))))))))))
  (define intersect/letrec
    (λ (this that)
       (letrec ((I (λ (set)
                      (cond ((null? set) '())
                            ((member (car set) that)
                             (cons (car set) (I (cdr set))))
                            (else (I (cdr set)))))))
         (I this))))
  (define intersect
    (λ (this that)
       (letrec ((I (λ (l)
                      (match/first
                        l
                        (() '())
                        ((,i unquote is)
                         (cond ((member i that) (cons i (I is)))
                               (else (I is))))))))
         (I this))))
  (define intersect+all
    (λ (sets)
       (letcc hop
              (letrec ((intersect
                         (λ (this that)
                            (cond ((null? that) (hop '()))
                                  (else
                                   (letrec ((I (λ (l)
                                                  (match/first
                                                    l
                                                    (() '())
                                                    ((,i unquote is)
                                                     (if (member i that) (cons i (I is)) (I is)))))))
                                     (I this))))))
                       (all-null?
                         (λ (l)
                            (cond ((null? l) #t)
                                  ((null? (car l)) (all-null? (cdr l)))
                                  (else #f))))
                       (A (λ (sets)
                             (cond ((all-null? sets) (hop '()))
                                   ((null? (cdr sets)) (car sets))
                                   (else (intersect (car sets) (A (cdr sets))))))))
                (cond ((null? sets) '()) (else (A sets)))))))
  (define comb-upto-last
    (λ (atom k lat)
       (reverse
         (letcc skip
                (letrec ((R (λ (prefix k lat)
                               (match/first
                                 lat
                                 (() prefix)
                                 ((,a unquote as)
                                  (cond ((equal? atom a)
                                         (cond ((zero? k) prefix)
                                               (else (skip (R '() (sub1 k) as)))))
                                        (else (R (cons a prefix) k as))))))))
                  (R '() (sub1 k) lat))))))
  (define atom/book? (λ (x) (not (or (pair? x) (null? x)))))
  (define leftmost/awkward
    (λ (l)
       (letrec ((L (λ (ll)
                      (match/first
                        ll
                        (() '())
                        ((,first unquote rest)
                         (cond ((atom/book? first) first)
                               (else
                                (let1 (a (L first))
                                      (cond ((atom/book? a) a) (else (L rest)))))))))))
         (let1 (atom (L l)) (cond ((atom/book? atom) atom) (else l))))))
  (define leftmost/awkward+letcc
    (λ (l)
       (letrec ((L (λ (ll hop)
                      (match/first
                        ll
                        (() '())
                        ((,first unquote rest)
                         (cond ((atom/book? first) (hop first))
                               (else
                                (let1 (a (L first hop))
                                      (cond ((atom/book? a) a) (else (L rest hop)))))))))))
         (let1 (atom (letcc hop (L l hop)))
               (cond ((atom/book? atom) atom) (else l))))))
  (define leftmost/escape+explicit
    (λ (l)
       (letrec ((L (λ (ll out)
                      (cond ((null? ll) '(no symbol here))
                            ((atom/book? (car ll)) (out (car ll)))
                            (else (begin (L (car ll) out) (L (cdr ll) out)))))))
         (escapecc (hop (L l hop)) (else l)))))
  (define leftmost/escape
    (λ (l)
       (escapecc
         (hop (let L ((ll l))
                (match/first
                  ll
                  (() '(no symbol here))
                  ((,first unquote rest)
                   (cond ((atom/book? first) (hop first))
                         (else (begin (L first) (L rest))))))))
         (else l))))
  (define rember1*/letcc
    (λ (atom sexp)
       (letrec ((R (λ (sexp skip)
                      (match/first
                        sexp
                        (() (skip 'no-present))
                        ((,a unquote d)
                         (cond ((atom/book? a)
                                (cond ((equal? a atom) d)
                                      (else (cons a (R d skip)))))
                               (else
                                (let1 (new-car (apply/cc R (list a)))
                                      (cond ((symbol? new-car) (cons a (R d skip)))
                                            (else (cons new-car d)))))))))))
         (let1 (s (apply/cc R (list sexp)))
               (cond ((symbol? s) sexp) (else s))))))
  (define rember1*/try
    (λ (atom sexp)
       (letrec ((make-skipper
                  (λ (skip sexp)
                     (τ (let1 (reason `(,atom not present in ,sexp))
                              (display reason)
                              (skip reason)))))
                (R (λ (sexp keep-searching)
                      (match/first
                        sexp
                        (() (keep-searching))
                        ((,a unquote d)
                         (cond ((atom/book? a)
                                (cond ((equal? a atom) d)
                                      (else (cons a (R d keep-searching)))))
                               (else
                                (trycc/named
                                  (skip (cons (R a (make-skipper skip a)) d))
                                  (else (cons a (R d keep-searching)))))))))))
         (trycc/named
           (skip (R sexp (make-skipper skip sexp)))
           (else => (λ (previous) (display previous) sexp)))))))

test/multi-insert*&co: pass

(define (test/multi-insert*&co _)
  (let ((sexp '((((orange fish)) apple anchovy) apple (orange)))
        (sexp-expected
          '((((orange tuna fish)) apple tuna anchovy) apple (orange tuna)))
        (identity-abridged (λ args args)))
    (⊦= `(,sexp-expected 1 2)
        (multi-insert*&co 'tuna 'anchovy 'orange sexp identity-abridged))
    (⊦= `(,sexp-expected 1 2)
        (letcc hop
               (multi-insert*&co
                 'tuna
                 'anchovy
                 'orange
                 sexp
                 (λ args (hop args)))))))
((eta 0.0) (memory #(6291456 2063584 1048576)) (stdout "") (stderr ""))

test/two-in-a-row?: pass

(define (test/two-in-a-row? _)
  (⊦= #f (two-in-a-row? '()))
  (⊦= #f (two-in-a-row? '(j f r e k s i)))
  (⊦= #t (two-in-a-row? '(j f r e k s s)))
  (⊦= #f (two-in-a-row?&hop '()))
  (⊦= #f (two-in-a-row?&hop '(j f r e k s i)))
  (⊦= #t (two-in-a-row?&hop '(j f r e k s s))))
((eta 0.0) (memory #(6291456 2064896 1048576)) (stdout "") (stderr ""))

test/intersect: pass

(define (test/intersect _)
  (⊦= '() (intersect '(1 2 3) '()))
  (⊦= '(2 3) (intersect '(1 2 3) '(2 3 4))))
((eta 0.0) (memory #(6291456 2063152 1048576)) (stdout "") (stderr ""))

test/intersect+all: pass

(define (test/intersect+all _)
  (⊦= '(3) (intersect+all '((3 mango and) (3 kiwis and) (3 hamburgers))))
  (⊦= '()
      (intersect+all '((3 steaks and) (no food and) () (3 diet hamburgers))))
  (⊦= '()
      (intersect+all '((3 steaks and) (no food and) (3 diet hamburgers) ())))
  (⊦= '()
      (intersect+all
        '((3 steaks and)
          (no food and)
          (three baked potatoes)
          (3 diet hamburgers)))))
((eta 0.0) (memory #(6291456 2064384 1048576)) (stdout "") (stderr ""))

test/comb-upto-last: pass

(define (test/comb-upto-last _)
  (⊦= '(e f) (comb-upto-last 'a -1 '(a b a d a e f)))
  (⊦= '(a b c d a e f) (comb-upto-last 'r -1 '(a b c d a e f)))
  (⊦= '() (comb-upto-last 'a 1 '(a b c d a e f a g h)))
  (⊦= '(b c d) (comb-upto-last 'a 1 '(b c d a e f a g h)))
  (⊦= '(e f) (comb-upto-last 'a 2 '(b c d a e f a g h)))
  (⊦= '(g h) (comb-upto-last 'a 3 '(b c d a e f a g h)))
  (⊦= '(g h) (comb-upto-last 'a 50 '(b c d a e f a g h))))
((eta 0.0) (memory #(6291456 2065472 1048576)) (stdout "") (stderr ""))

test/leftmost: pass

(define (test/leftmost _)
  (let1 (leftmost leftmost/escape)
        (⊦= 'a (leftmost '(((a)) b (c))))
        (⊦= 'b (leftmost '((() ((() (())))) b (c))))
        (let1 (sexp '((() ((() (())))) (((() ()))) ()))
              (⊦= sexp (leftmost sexp)))))
((eta 0.0) (memory #(6291456 2066696 1048576)) (stdout "") (stderr ""))

test/rember1*: pass

(define (test/rember1* _)
  (let1 (R (λ args
              (let1 (result #f)
                    (with-output-to-string
                      (τ (set! result (apply rember1*/try args))))
                    result)))
        (⊦= '((delicious) (food)) (R 'more '((delicious) more (food))))
        (⊦= '((orange) more (fruits)) (R 'pizza '((orange) more (fruits))))))
((eta 0.0) (memory #(6291456 2068344 1048576)) (stdout "") (stderr ""))

test/leftmost/variants: pass

(define (test/leftmost/variants _)
  (let1 (sexp '((() ((() (())))) (((() ()))) ()))
        (for-each
          (λ (leftmost)
             (⊦= 'a (leftmost '(((a)) b (c))))
             (⊦= 'b (leftmost '((() ((() (())))) b (c))))
             (⊦= sexp (leftmost sexp)))
          (list leftmost/awkward
                leftmost/awkward+letcc
                leftmost/escape+explicit
                leftmost/escape))))
((eta 0.0) (memory #(6291456 2069008 1048576)) (stdout "") (stderr ""))

test/leftmost/non-symbol-atoms: pass

(define (test/leftmost/non-symbol-atoms _)
  (for-each
    (λ (leftmost)
       (⊦= 1 (leftmost '(1 a)))
       (⊦= "s" (leftmost '(("s") a)))
       (⊦= #f (leftmost '((() #f) a)))
       (⊦= 'a (leftmost '(() (a) 1))))
    (list leftmost/awkward
          leftmost/awkward+letcc
          leftmost/escape+explicit
          leftmost/escape)))
((eta 0.0) (memory #(6291456 2070104 1048576)) (stdout "") (stderr ""))

test/rember1*/non-symbol-atoms: pass

(define (test/rember1*/non-symbol-atoms _)
  (let1 (R (λ args
              (let1 (result #f)
                    (with-output-to-string
                      (τ (set! result (apply rember1*/try args))))
                    result)))
        (for-each
          (λ (rember1*)
             (⊦= '(1 2) (rember1* 'x '(1 x 2)))
             (⊦= '(1 (2)) (rember1* 3 '(1 (3 2))))
             (⊦= '((1 "t") "s") (rember1* "s" '((1 "s" "t") "s")))
             (⊦= '(1 (2) #t) (rember1* 'x '(1 (2) #t))))
          (list rember1*/letcc R))))
((eta 0.0) (memory #(6291456 2072072 1048576)) (stdout "") (stderr ""))

test/rember1*/variants: pass

(define (test/rember1*/variants _)
  (⊦= '((delicious) (food)) (rember1*/letcc 'more '((delicious) more (food))))
  (⊦= '((orange) more (fruits))
      (rember1*/letcc 'pizza '((orange) more (fruits))))
  (⊦= '((a) x) (rember1*/letcc 'x '((a x) x)))
  (⊦= '((a) x) (rember1*/try 'x '((a x) x)))
  (⊦= "(more not present in (delicious))"
      (with-output-to-string
        (τ (rember1*/try 'more '((delicious) more (food))))))
  (⊦= (string-append
        "(pizza not present in (orange))"
        "(pizza not present in (fruits))"
        "(pizza not present in ((orange) more (fruits)))"
        "((pizza not present in ((orange) more (fruits))))")
      (with-output-to-string
        (τ (rember1*/try 'pizza '((orange) more (fruits)))))))
((eta 0.0) (memory #(6291456 2072632 1048576)) (stdout "") (stderr ""))

test/intersect/letrec: pass

(define (test/intersect/letrec _)
  (⊦= '() (intersect/letrec '(1 2 3) '()))
  (⊦= '(2 3) (intersect/letrec '(1 2 3) '(2 3 4)))
  (⊦= '() (intersect+all '()))
  (⊦= '(a b) (intersect+all '((a b))))
  (⊦= '() (intersect+all '(() ()))))
((eta 0.0) (memory #(6291456 2073640 1048576)) (stdout "") (stderr ""))