Implement ref, contains? and set.
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1 changed files with 112 additions and 11 deletions
123
src/util-bst.scm
123
src/util-bst.scm
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@ -11,10 +11,10 @@
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bst?
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bst-empty?
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;;bst-ref
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;;bst-contains?
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bst-ref
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bst-contains?
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;;bst-set
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bst-set
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;;bst-remove ;;
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;;bst->kvv
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@ -27,12 +27,45 @@
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)
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(import scheme
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(chicken condition)
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util-tag
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testing)
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;; Unique tags
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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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;; Node
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;; Creates BST node with no children
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(define (make-bst-node key value)
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(cons (cons key value)
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(cons #f #f)))
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;; Read-only accessors to BST node
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(define bst-node-kv car)
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(define bst-node-key caar)
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(define bst-node-value cdar)
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(define bst-node-left cadr)
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(define bst-node-right cddr)
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;; Returns BST node with updated node value
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(define (set-bst-node-value n v)
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(cons (cons (bst-node-key n) v)
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(cdr n)))
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;; Updates BST node left child
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(define (set-bst-node-left n l)
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(cons (car n)
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(cons l (bst-node-right n))))
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;; Updates BST node right child
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(define (set-bst-node-right n r)
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(cons (car n)
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(cons (bst-node-left n) r)))
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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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;; BST
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;; Unique tag
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(define TAG-BST (make-tag bst))
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(define TAG-KVV (make-tag kvv))
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(define/doc (make-bst subtag EQ? <?)
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("Creates empty BST with given comparators")
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@ -52,6 +85,26 @@
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(define bst-EQ? cadddr)
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(define bst-<? cddddr)
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;; Update BST root node
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(define (set-bst-root bst root)
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(cons (car bst)
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(cons (cons root
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(bst-count bst))
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(cddr bst))))
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;; Update BST count
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(define (set-bst-count bst count)
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(cons (car bst)
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(cons (cons (bst-root bst)
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count)
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(cddr bst))))
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;; Update BST root node and count
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(define (set-bst-root+count bst root count)
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(cons (car bst)
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(cons (cons root count)
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(cddr bst))))
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(define/doc ((bst? subtag) v)
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("Curried predicate for particular bst type.")
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(and (pair? v)
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@ -63,13 +116,61 @@
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(not (bst-root bst)))
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;; Wrapper to setup comparators
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(define-syntax define-bst-proc
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(define-syntax let-comparators
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(syntax-rules ()
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((_ EQ? <? (name bst . args) expr ...)
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(define (name bst . args)
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(let ((EQ? (bst-eq? bst))
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(<? (bst-<? bst)))
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expr ...)))))
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((_ (EQ? <? bst) expr ...)
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(let ((EQ? (bst-EQ? bst))
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(<? (bst-<? bst)))
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expr ...))))
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(define/doc (bst-ref bst k . vs)
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("Retrieves value associated with given key.")
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(let-comparators
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(EQ? <? bst)
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(let loop ((n (bst-root bst)))
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(if n
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(let ((nk (bst-node-key n)))
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(if (EQ? k nk)
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(bst-node-value n)
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(loop (if (<? k nk)
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(bst-node-left n)
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(bst-node-right n)))))
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(if (null? vs)
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(error 'bst-ref "Key does not exist" k)
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(car vs))))))
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(define/doc (bst-contains? bst k)
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("Predicate for key existence in BST.")
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(handle-exceptions
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ex
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#f
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(let ()
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(bst-ref bst k)
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#t)))
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(define/doc (bst-set bst k v)
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("Sets given key to given value and updates count if needed.")
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(let-comparators
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(EQ? <? bst)
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(let-values (((new-root count-add)
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(let loop ((n (bst-root bst)))
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(if n
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(let ((nk (bst-node-key n)))
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(if (EQ? k nk)
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(values (set-bst-node-value n v) 0)
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(if (<? k nk)
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(let-values (((new-left-node count-add)
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(loop (bst-node-left n))))
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(values (set-bst-node-left n new-left-node)
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count-add))
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(let-values (((new-right-node count-add)
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(loop (bst-node-right n))))
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(values (set-bst-node-right n new-right-node)
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count-add)))))
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(values (make-bst-node k v) 1)))))
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(set-bst-root+count bst
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new-root
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(+ (bst-count bst) count-add)))))
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;; Module self-tests
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(define (util-bst-tests!)
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