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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 r7rs)
(load "random-number-vector.sld")
(load "util.sld")
(import (except (mcgoron weight-balanced-trees internal)
every)
(prefix (only (mcgoron weight-balanced-trees internal)
every)
node-)
(mcgoron weight-balanced-trees test util)
(mcgoron weight-balanced-trees test random-number-vector)
(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))
(set-verbosity! 'fails)
;;; ;;;;;;;;;;;;;;;;;;;
;;; Random in-order vector generator
;;; ;;;;;;;;;;;;;;;;;;;
(define (vector->node-generator)
(gmap in-order-vector->node (in-order-vector-generator
(max-vector-length))))
(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))))
;;; ;;;;;;;;;
;;; 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)
(chain (in-order-vector-generator (max-vector-length))
(gmap split-in-order-vector _)))
(define (call/split-vecs procedure)
(lambda (vec)
(let ((left (vector-ref vec 0))
(middle (vector-ref vec 1))
(right (vector-ref vec 2)))
(procedure left middle right))))
(define (join-vectors left middle right)
(join middle (in-order-vector->node left) (in-order-vector->node right)))
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; join
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define join-preserves-order-of
(call/split-vecs
(lambda (left middle right)
;; Test if joining two in-order vectors with a node in between will
;; preserve order in the tree.
;; 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-vectors left middle right)))
(orig (append (vector->list left)
(list middle)
(vector->list right))))
(when (verbose)
(dynamic-property-set! 'ret ret))
(equal? ret orig)))))
(test-group "join of in-order vectors preserves order"
(parameterize ((verbose #f))
(test-property join-preserves-order-of
(list (split-vector-generator)))))
(test-group "join of in-order vectors is balanced"
(define (joined-vector-generator)
(gmap (call/split-vecs join-vectors)
(split-vector-generator)))
(test-property balanced? (list (joined-vector-generator))))
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; join2
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;
(define join2-preserves-order-of
(call/split-vecs
(lambda (left _ right)
(let ((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 of in-order vectors preserves order"
(test-property join2-preserves-order-of
(list (split-vector-generator))))
(test-group "join2 of in-order vectors 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)))
(test-property balanced?
(list (join2-split-vector-generator))))
;;; ;;;;;;
;;; search
;;; ;;;;;;
(define (call/inserted procedure)
(call/split-vecs
(lambda (left middle right)
(let ((node (join-vectors left middle right)))
(procedure left middle right node)))))
(define (call-w/o-inserted procedure)
(call/split-vecs
(lambda (left middle right)
(let ((node (join2 (in-order-vector->node left)
(in-order-vector->node right))))
(procedure left middle right node)))))
(test-group "search with inserted node"
(define search-finds
(call/inserted
(lambda (left middle right node)
(when (verbose)
(dynamic-property-set! 'expected middle)
(dynamic-property-set! 'right right)
(dynamic-property-set! 'left left)
(dynamic-property-set! 'node (node->in-order-list node)))
(search number-comparator middle node))))
(parameterize ((verbose #f))
(test-property search-finds (list (split-vector-generator)))))
(test-group "search without inserted node"
(define search-does-not-find
(call-w/o-inserted
(lambda (left middle right node)
(not (search number-comparator middle node)))))
(test-property search-does-not-find (list (split-vector-generator))))
;;; ;;;;;;;;;;;;;;;;;;;;;;;;
;;; split
;;; ;;;;;;;;;;;;;;;;;;;;;;;;
(define (call/split wrapper procedure)
(wrapper
(lambda (left middle right node)
(call-with-values (lambda ()
(split number-comparator node middle
(lambda () #f)))
procedure))))
(define split-finds
(call/split
call/inserted
(lambda (new-left found? new-right)
found?)))
(test-group "split finds"
(test-property split-finds (list (split-vector-generator))))
(define split-left-balanced
(call/split
call/inserted
(lambda (new-found found? new-right)
(balanced? new-found))))
(test-group "split left balanced"
(test-property split-left-balanced (list (split-vector-generator))))
(define split-right-balanced
(call/split
call/inserted
(lambda (new-found found? new-right)
(balanced? new-right))))
(test-group "split right balanced"
(test-property split-right-balanced (list (split-vector-generator))))
(define split-does-not-find
(call/split
call-w/o-inserted
(lambda (new-left found? new-right)
(not found?))))
(test-group "split does not find"
(test-property split-does-not-find (list (split-vector-generator))))
(define split-left-balanced-w/o-inserted
(call/split
call-w/o-inserted
(lambda (new-left found? new-right)
(balanced? new-left))))
(test-group "split left balanced without insertion"
(test-property split-left-balanced-w/o-inserted (list (split-vector-generator))))
(define split-right-balanced-w/o-inserted
(call/split
call-w/o-inserted
(lambda (new-left found? new-right)
(balanced? new-right))))
(test-group "split right balanced without insertion"
(test-property split-right-balanced-w/o-inserted (list (split-vector-generator))))
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Union
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(test-group "union balanced"
(define (union-balanced node1 node2)
(balanced? (union number-comparator node1 node2)))
(test-property union-balanced
(list (vector->node-generator)
(vector->node-generator))))
(define (union-subset-of-lset node1 node2)
(let ((node (union number-comparator node1 node2))
(union (lset-union =
(node->in-order-list node1)
(node->in-order-list node2))))
(if (verbose)
(dynamic-property-set! 'union
(node->in-order-list node)))
(every (cut search number-comparator <> node) union)))
(test-group "union subset of lset"
(parameterize ((verbose #t))
(test-property union-subset-of-lset
(list (vector->node-generator)
(vector->node-generator)))))
(test-group "union subset of lset, right null"
(test-property union-subset-of-lset
(list (vector->node-generator)
(circular-generator '()))))
(test-group "union subset of lset, left null"
(test-property union-subset-of-lset
(list (circular-generator '())
(vector->node-generator))))
(define (lset-subset-of-union node1 node2)
(let ((node (union number-comparator node1 node2))
(union (lset-union =
(node->in-order-list node1)
(node->in-order-list node2))))
(node-every (cut memq <> union) node)))
(test-group "lset subset of union"
(test-property lset-subset-of-union
(list (vector->node-generator)
(vector->node-generator))))
(test-group "lset subset of union, right null"
(test-property lset-subset-of-union
(list (vector->node-generator)
(circular-generator '()))))
(test-group "lset subset of union, left null"
(test-property lset-subset-of-union
(list (circular-generator '())
(vector->node-generator))))
;;; ;;;;;;;;;;;;;;;;;;;;
;;; Intersection
;;; ;;;;;;;;;;;;;;;;;;;;
(test-group "intersection balanced?"
(define (intersection-balanced? node1 node2)
(balanced? (intersection number-comparator node1 node2)))
(test-property intersection-balanced?
(list (vector->node-generator)
(vector->node-generator))))
(test-group "intersection of itself"
(define (intersection-of-itself node1)
(let ((node (intersection number-comparator node1 node1))
(lst (node->in-order-list node1)))
(every (cut search number-comparator <> node) lst)))
(test-property intersection-of-itself
(list (vector->node-generator))))
(test-group "intersection of null, left"
(define (intersection-of-null-left node1)
(null? (intersection number-comparator node1 '())))
(test-property intersection-of-null-left
(list (vector->node-generator))))
(test-group "intersection of null, right"
(define (intersection-of-null-right node1)
(null? (intersection number-comparator '() node1)))
(test-property intersection-of-null-right
(list (vector->node-generator))))
(test-group "intersection subset of lset"
(define (intersection-lset node1 node2)
(let ((node (intersection number-comparator node1 node2))
(intersection (lset-intersection =
(node->in-order-list node1)
(node->in-order-list node2))))
(every (cut search number-comparator <> node) intersection)))
(test-property intersection-lset
(list (vector->node-generator)
(vector->node-generator))))
(test-group "lset subset of intersection"
(define (lset-subset-of-intersection node1 node2)
(let ((node (intersection number-comparator node1 node2))
(intersection (lset-intersection =
(node->in-order-list node1)
(node->in-order-list node2))))
(node-every (cut memv <> intersection) node)))
(test-property lset-subset-of-intersection
(list (vector->node-generator)
(vector->node-generator))))
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Difference
;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;
(test-group "difference subset of lset"
(define (difference-subset-of-lset node1 node2)
(let ((node (difference number-comparator node1 node2))
(intersection (lset-difference =
(node->in-order-list node1)
(node->in-order-list node2))))
(every (cut search number-comparator <> node) intersection)))
(test-property difference-subset-of-lset
(list (vector->node-generator)
(vector->node-generator))))
(test-group "lset subset of difference"
(define (lset-subset-of-difference node1 node2)
(let ((node (difference number-comparator node1 node2))
(intersection (lset-difference =
(node->in-order-list node1)
(node->in-order-list node2))))
(node-every (cut memq <> intersection) node)))
(test-property lset-subset-of-difference
(list (vector->node-generator)
(vector->node-generator))))
|