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|
#| Copyright 2024 Peter McGoron
|
| Licensed under the Apache License, Version 2.0 (the "License");
| you may not use this file except in compliance with the License.
| You may obtain a copy of the License at
|
| http://www.apache.org/licenses/LICENSE-2.0
|
| Unless required by applicable law or agreed to in writing, software
| distributed under the License is distributed on an "AS IS" BASIS,
| WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
| See the License for the specific language governing permissions and
| limitations under the License.
|#
(import (mcgoron weight-balanced-trees internal)
(prefix (only (mcgoron srfi 64) factory) mcgoron-test-)
(except (mcgoron srfi 64) factory)
(srfi 1) (srfi 26) (srfi 64) (srfi 128) (srfi 132) (srfi 133)
(srfi 158) (srfi 194) (srfi 197) (srfi 252))
;;; ;;;;;;;;;;;;;;;;
;;; Parameters
(define verbose (make-parameter #f))
(define max-vector-length (make-parameter 100))
;;; ;;;;;;;;;;;;;;;;;;;;
;;; Setup my test runner
;;; ;;;;;;;;;;;;;;;;;;;;
(test-runner-factory mcgoron-test-factory)
(test-runner-current (test-runner-create))
;;; ;;;;;;;;;;;
;;; Utils
;;; ;;;;;;;;;;;
(define (vector-copy-exclusive vec start end)
;; Copy `[start,end)` from `vec`.
(if (= start end)
#()
(vector-copy vec start (- end 1))))
;;; ;;;;;;;;;;;;;;;;;;;
;;; Random in-order vector generator
;;; ;;;;;;;;;;;;;;;;;;;
(define (random-number-vector of)
;; Generate a random vector of exact integers with at most `of` number
;; of elements.
(vector-generator-of (exact-integer-generator) of))
(define (filter-non-empty-vectors gen)
;; Filter out the empty vector.
(gremove (lambda (vec) (zero? (vector-length vec))) gen))
(define (remove-duplicates gen)
;; Filter out vectors with duplicate entries.
(define (filter vec)
(call/cc
(lambda (return)
(vector-fold (lambda (prev elem)
(cond
((null? prev) elem)
((= elem prev) (return #f))
(else elem)))
'()
vec)
#t)))
(gfilter filter gen))
(define (make-in-order gen)
;; Sort all vectors to be in-order.
(gmap (cut vector-sort < <>) gen))
(define (in-order-vector-generator of)
(chain (random-number-vector of)
(filter-non-empty-vectors _)
(make-in-order _)
(remove-duplicates _)))
(define (vector->node-generator of)
(chain (in-order-vector-generator of)
(gmap in-order-vector->node _)))
(define number-comparator
(make-comparator
number?
=
<
(lambda (x) x)))
;;; ;;;;;;;;;;;;;;;;;;;;;;
;;; Test node creation
;;; ;;;;;;;;;;;;;;;;;;;;;;
(test-group "vector->node is correct"
(define (vector->node->list? vec)
(let* ((node (in-order-vector->node vec))
(lst (node->in-order-list node)))
(when (verbose)
(dynamic-property-set! 'vec vec)
(dynamic-property-set! 'lst lst))
(equal? (vector->list vec) lst)))
(test-property vector->node->list?
(list (in-order-vector-generator (max-vector-length)))))
(test-group "vector->node balanced?"
(test-assert (balanced? '()))
(test-property balanced? (list (vector->node-generator
(max-vector-length)))))
;;; ;;;;;;;;;
;;; Make a "split" vector. A "split" vector is two sorted vectors and a
;;; number, where for all indicies i
;;;
;;; v1[i] < number
;;; number < v2[i]
;;;
;;; ;;;;;;;;;
(define (split-in-order-vector vec)
;; Take an in order vector and split it into two in-order vectors and
;; an element in between those two vectors.
(let* ((len (vector-length vec))
(pivot ((make-random-integer-generator 0 len))))
(vector (vector-copy-exclusive vec 0 pivot)
(vector-ref vec pivot)
(vector-copy-exclusive vec (+ pivot 1) len))))
(define (split-vector-generator of)
(chain (random-number-vector of)
(filter-non-empty-vectors _)
(remove-duplicates _)
(make-in-order _)
(gmap split-in-order-vector _)))
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; join
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (join-preserves-order-of vec)
;; Test if joining two in-order vectors with a node in between will
;; preserve order in the tree.
(let ((left (vector-ref vec 0))
(middle (vector-ref vec 1))
(right (vector-ref vec 2)))
;; Log the left, middle, and right vectors.
(when (verbose)
(dynamic-property-set! 'right right)
(dynamic-property-set! 'middle middle)
(dynamic-property-set! 'left left))
(let ((ret (node->in-order-list
(join middle
(in-order-vector->node left)
(in-order-vector->node right))))
(orig (append (vector->list left)
(list middle)
(vector->list right))))
(when (verbose)
(dynamic-property-set! 'ret ret))
(equal? ret orig))))
(test-group "join-preserves-order-of"
(parameterize ((verbose #f))
(test-property join-preserves-order-of (list (split-vector-generator
(max-vector-length))))))
(test-group "join balanced?"
(define (join-split-vectors vec)
(let ((left (vector-ref vec 0))
(middle (vector-ref vec 1))
(right (vector-ref vec 2)))
(join middle
(in-order-vector->node left)
(in-order-vector->node right))))
(define (joined-vector-generator of)
(gmap join-split-vectors (split-vector-generator of)))
(test-property balanced? (list (joined-vector-generator (max-vector-length)))))
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; join2
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (join2-preserves-order-of vec)
(let* ((left (vector-ref vec 0))
(right (vector-ref vec 2))
(ret (node->in-order-list
(join2 (in-order-vector->node left)
(in-order-vector->node right))))
(orig (append (vector->list left)
(vector->list right))))
(equal? ret orig)))
(test-group "join2 preserves order"
(test-property join2-preserves-order-of
(list (split-vector-generator
(max-vector-length)))))
(test-group "join2 is balanced"
(define (join2-split-vector-generator)
(define (join2-of-split vec)
(join2 (in-order-vector->node (vector-ref vec 0))
(in-order-vector->node (vector-ref vec 2))))
(gmap join2-of-split (split-vector-generator
(max-vector-length))))
(test-property balanced?
(list (join2-split-vector-generator))))
|
