I tried to implement a "pairing heap" with all the regular operations (merge, delete-min etc.), then I've been requested to write a function that would sort a list using my newly constructed heap implementation. Unfortunately it seems that someting goes wrong...
Here's the relevant code:
(define (heap-merge h1 h2)
(cond ((heap-empty? h1) h2)
((heap-empty? h2) h1)
(else (let ((min1 (heap-get-min h1))
(min2 (heap-get-min h2)))
(if ((heap-get-less h1) min1 min2)
(make-pairing-heap (heap-get-less h1) min1 (cons h2 (heap-get-subheaps h1)))
(make-pairing-heap (heap-get-less h1)开发者_如何学运维 min2 (cons h1 (heap-get-subheaps h2))))))))
(define (heap-insert element h)
(heap-merge (make-pairing-heap (heap-get-less h) element '())
h))
(define (heap-delete-min h)
(define (merge-in-pairs less? subheaps)
(cond
((null? subheaps) (make-heap less?))
((null? (cdr subheaps)) (car subheaps))
(else (heap-merge (heap-merge (car subheaps) (cadr subheaps))
(merge-in-pairs less? (cddr subheaps))))))
(if (heap-empty? h) (error "expected pairing-heap for first argument, got an empty heap ")
(merge-in-pairs (heap-get-less h) (heap-get-subheaps h))))
(define (heapsort l less?)
(let aux ((h (accumulate heap-insert (make-heap less?) l)))
(if (not (heap-empty? h))
(cons (heap-get-min h)
(aux (heap-delete-min h))))))
And these are some selectors that may help you to understand the code:
(define (make-pairing-heap less? min subheaps)
(cons less? (cons min subheaps)))
(define (make-heap less?)
(cons less? '()))
(define (heap-get-less h)
(car h))
(define (heap-empty? h)
(if (null? (cdr h)) #t #f))
Now lets get to the problem: When i run 'heapsort' it returns the sorted list with "void", as you can see:
> (heapsort (list 1 2 3) <)
(1 2 3 . #<void>)
..HOW CAN I FIX IT?
Regards, Superguay
Since this is homework, I'll tell you the process I used to find the bug. Let me know if you're still stuck.
Honestly, this is too much code to analyse* in-depth in a Stack Overflow question. So I have to use clues from the output. Specifically, you have a list with a void in it. And it's at the end, in an improper list. That means two things:
- You have a function that doesn't return a value. Two things that cause this are (1) writing an
if
with only one branch--theelse
branch will return void--or (2) ending your function with adisplay
, which returns void. - The last thing you did was
cons
. You might have meant to keep consing or maybe you meant to cons on '() instead to end the list properly.
So: first step is to search the code for all uses of cons
. Your selectors look fine. That leaves the two branches in heap-merge
and the cons
in heapsort
. All three calls to cons
use functions to get their cdr
.
So: next step is to look at heap-get-subheaps
and aux
to see if either one has a code path that doesn't return a value. Maybe you have some debugging statements left in by mistake. Or maybe you have an if
that only has the true branch and you forgot the false branch.
*Note: Most Schemes have so few debugging features that heuristics are your best bet anyway. It's an acquired skill.
精彩评论