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- ;;; Copyright (C) John Cowan (2015). All Rights Reserved.
- ;;;
- ;;; Permission is hereby granted, free of charge, to any person
- ;;; obtaining a copy of this software and associated documentation
- ;;; files (the "Software"), to deal in the Software without
- ;;; restriction, including without limitation the rights to use,
- ;;; copy, modify, merge, publish, distribute, sublicense, and/or
- ;;; sell copies of the Software, and to permit persons to whom the
- ;;; Software is furnished to do so, subject to the following
- ;;; conditions:
- ;;;
- ;;; The above copyright notice and this permission notice shall be
- ;;; included in all copies or substantial portions of the Software.
- ;;;
- ;;; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
- ;;; EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
- ;;; OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
- ;;; NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
- ;;; HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
- ;;; WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
- ;;; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
- ;;; OTHER DEALINGS IN THE SOFTWARE.
- ;;;; Main part of the SRFI 114 reference implementation
- ;;; "There are two ways of constructing a software design: One way is to
- ;;; make it so simple that there are obviously no deficiencies, and the
- ;;; other way is to make it so complicated that there are no *obvious*
- ;;; deficiencies." --Tony Hoare
- ;;; Syntax (because syntax must be defined before it is used, contra Dr. Hardcase)
- ;; Arithmetic if
- (define-syntax comparator-if<=>
- (syntax-rules ()
- ((if<=> a b less equal greater)
- (comparator-if<=> (make-default-comparator) a b less equal greater))
- ((comparator-if<=> comparator a b less equal greater)
- (cond
- ((=? comparator a b) equal)
- ((<? comparator a b) less)
- (else greater)))))
- ;; Upper bound of hash functions is 2^25-1
- (define-syntax hash-bound
- (syntax-rules ()
- ((hash-bound) 33554432)))
- (define %salt% (make-parameter 16064047))
- (define-syntax hash-salt
- (syntax-rules ()
- ((hash-salt) (%salt%))))
- (define-syntax with-hash-salt
- (syntax-rules ()
- ((with-hash-salt new-salt hash-func obj)
- (parameterize ((%salt% new-salt)) (hash-func obj)))))
- ;;; Definition of comparator records with accessors and basic comparator
- (define-record-type comparator
- (make-raw-comparator type-test equality ordering hash ordering? hash?)
- comparator?
- (type-test comparator-type-test-predicate)
- (equality comparator-equality-predicate)
- (ordering comparator-ordering-predicate)
- (hash comparator-hash-function)
- (ordering? comparator-ordered?)
- (hash? comparator-hashable?))
- ;; Public constructor
- (define (make-comparator type-test equality ordering hash)
- (make-raw-comparator
- (if (eq? type-test #t) (lambda (x) #t) type-test)
- (if (eq? equality #t) (lambda (x y) (eqv? (ordering x y) 0)) equality)
- (if ordering ordering (lambda (x y) (error "ordering not supported")))
- (if hash hash (lambda (x y) (error "hashing not supported")))
- (if ordering #t #f)
- (if hash #t #f)))
- ;;; Invokers
- ;; Invoke the test type
- (define (comparator-test-type comparator obj)
- ((comparator-type-test-predicate comparator) obj))
- ;; Invoke the test type and throw an error if it fails
- (define (comparator-check-type comparator obj)
- (if (comparator-test-type comparator obj)
- #t
- (error "comparator type check failed" comparator obj)))
- ;; Invoke the hash function
- (define (comparator-hash comparator obj)
- ((comparator-hash-function comparator) obj))
- ;;; Comparison predicates
- ;; Binary versions for internal use
- (define (binary=? comparator a b)
- ((comparator-equality-predicate comparator) a b))
- (define (binary<? comparator a b)
- ((comparator-ordering-predicate comparator) a b))
- (define (binary>? comparator a b)
- (binary<? comparator b a))
- (define (binary<=? comparator a b)
- (not (binary>? comparator a b)))
- (define (binary>=? comparator a b)
- (not (binary<? comparator a b)))
- ;; General versions for export
- (define (=? comparator a b . objs)
- (let loop ((a a) (b b) (objs objs))
- (and (binary=? comparator a b)
- (if (null? objs) #t (loop b (car objs) (cdr objs))))))
- (define (<? comparator a b . objs)
- (let loop ((a a) (b b) (objs objs))
- (and (binary<? comparator a b)
- (if (null? objs) #t (loop b (car objs) (cdr objs))))))
- (define (>? comparator a b . objs)
- (let loop ((a a) (b b) (objs objs))
- (and (binary>? comparator a b)
- (if (null? objs) #t (loop b (car objs) (cdr objs))))))
- (define (<=? comparator a b . objs)
- (let loop ((a a) (b b) (objs objs))
- (and (binary<=? comparator a b)
- (if (null? objs) #t (loop b (car objs) (cdr objs))))))
- (define (>=? comparator a b . objs)
- (let loop ((a a) (b b) (objs objs))
- (and (binary>=? comparator a b)
- (if (null? objs) #t (loop b (car objs) (cdr objs))))))
- ;;; Simple ordering and hash functions
- (define (boolean<? a b)
- ;; #f < #t but not otherwise
- (and (not a) b))
- (define (boolean-hash obj)
- (if obj (%salt%) 0))
- (define (char-hash obj)
- (modulo (* (%salt%) (char->integer obj)) (hash-bound)))
- (define (char-ci-hash obj)
- (modulo (* (%salt%) (char->integer (char-foldcase obj))) (hash-bound)))
- (define (number-hash obj)
- (cond
- ((nan? obj) (%salt%))
- ((and (infinite? obj) (positive? obj)) (* 2 (%salt%)))
- ((infinite? obj) (* (%salt%) 3))
- ((real? obj) (abs (exact (round obj))))
- (else (+ (number-hash (real-part obj)) (number-hash (imag-part obj))))))
- ;; Lexicographic ordering of complex numbers
- (define (complex<? a b)
- (if (= (real-part a) (real-part b))
- (< (imag-part a) (imag-part b))
- (< (real-part a) (real-part b))))
- (define (string-ci-hash obj)
- (string-hash (string-foldcase obj)))
- (define (symbol<? a b) (string<? (symbol->string a) (symbol->string b)))
- (define (symbol-hash obj)
- (string-hash (symbol->string obj)))
- ;;; Wrapped equality predicates
- ;;; These comparators don't have ordering functions.
- (define (make-eq-comparator)
- (make-comparator #t eq? #f default-hash))
- (define (make-eqv-comparator)
- (make-comparator #t eqv? #f default-hash))
- (define (make-equal-comparator)
- (make-comparator #t equal? #f default-hash))
- ;;; Sequence ordering and hash functions
- ;; The hash functions are based on djb2, but
- ;; modulo 2^25 instead of 2^32 in hopes of sticking to fixnums.
- (define (make-hasher)
- (let ((result (%salt%)))
- (case-lambda
- (() result)
- ((n) (set! result (+ (modulo (* result 33) (hash-bound)) n))
- result))))
- ;;; Pair comparator
- (define (make-pair-comparator car-comparator cdr-comparator)
- (make-comparator
- (make-pair-type-test car-comparator cdr-comparator)
- (make-pair=? car-comparator cdr-comparator)
- (make-pair<? car-comparator cdr-comparator)
- (make-pair-hash car-comparator cdr-comparator)))
- (define (make-pair-type-test car-comparator cdr-comparator)
- (lambda (obj)
- (and (pair? obj)
- (comparator-test-type car-comparator (car obj))
- (comparator-test-type cdr-comparator (cdr obj)))))
- (define (make-pair=? car-comparator cdr-comparator)
- (lambda (a b)
- (and ((comparator-equality-predicate car-comparator) (car a) (car b))
- ((comparator-equality-predicate cdr-comparator) (cdr a) (cdr b)))))
- (define (make-pair<? car-comparator cdr-comparator)
- (lambda (a b)
- (if (=? car-comparator (car a) (car b))
- (<? cdr-comparator (cdr a) (cdr b))
- (<? car-comparator (car a) (car b)))))
- (define (make-pair-hash car-comparator cdr-comparator)
- (lambda (obj)
- (let ((acc (make-hasher)))
- (acc (comparator-hash car-comparator (car obj)))
- (acc (comparator-hash cdr-comparator (cdr obj)))
- (acc))))
- ;;; List comparator
- ;; Cheap test for listness
- (define (norp? obj) (or (null? obj) (pair? obj)))
- (define (make-list-comparator element-comparator type-test empty? head tail)
- (make-comparator
- (make-list-type-test element-comparator type-test empty? head tail)
- (make-list=? element-comparator type-test empty? head tail)
- (make-list<? element-comparator type-test empty? head tail)
- (make-list-hash element-comparator type-test empty? head tail)))
- (define (make-list-type-test element-comparator type-test empty? head tail)
- (lambda (obj)
- (and
- (type-test obj)
- (let ((elem-type-test (comparator-type-test-predicate element-comparator)))
- (let loop ((obj obj))
- (cond
- ((empty? obj) #t)
- ((not (elem-type-test (head obj))) #f)
- (else (loop (tail obj)))))))))
- (define (make-list=? element-comparator type-test empty? head tail)
- (lambda (a b)
- (let ((elem=? (comparator-equality-predicate element-comparator)))
- (let loop ((a a) (b b))
- (cond
- ((and (empty? a) (empty? b) #t))
- ((empty? a) #f)
- ((empty? b) #f)
- ((elem=? (head a) (head b)) (loop (tail a) (tail b)))
- (else #f))))))
- (define (make-list<? element-comparator type-test empty? head tail)
- (lambda (a b)
- (let ((elem=? (comparator-equality-predicate element-comparator))
- (elem<? (comparator-ordering-predicate element-comparator)))
- (let loop ((a a) (b b))
- (cond
- ((and (empty? a) (empty? b) #f))
- ((empty? a) #t)
- ((empty? b) #f)
- ((elem=? (head a) (head b)) (loop (tail a) (tail b)))
- ((elem<? (head a) (head b)) #t)
- (else #f))))))
- (define (make-list-hash element-comparator type-test empty? head tail)
- (lambda (obj)
- (let ((elem-hash (comparator-hash-function element-comparator))
- (acc (make-hasher)))
- (let loop ((obj obj))
- (cond
- ((empty? obj) (acc))
- (else (acc (elem-hash (head obj))) (loop (tail obj))))))))
- ;;; Vector comparator
- (define (make-vector-comparator element-comparator type-test length ref)
- (make-comparator
- (make-vector-type-test element-comparator type-test length ref)
- (make-vector=? element-comparator type-test length ref)
- (make-vector<? element-comparator type-test length ref)
- (make-vector-hash element-comparator type-test length ref)))
- (define (make-vector-type-test element-comparator type-test length ref)
- (lambda (obj)
- (and
- (type-test obj)
- (let ((elem-type-test (comparator-type-test-predicate element-comparator))
- (len (length obj)))
- (let loop ((n 0))
- (cond
- ((= n len) #t)
- ((not (elem-type-test (ref obj n))) #f)
- (else (loop (+ n 1)))))))))
- (define (make-vector=? element-comparator type-test length ref)
- (lambda (a b)
- (and
- (= (length a) (length b))
- (let ((elem=? (comparator-equality-predicate element-comparator))
- (len (length b)))
- (let loop ((n 0))
- (cond
- ((= n len) #t)
- ((elem=? (ref a n) (ref b n)) (loop (+ n 1)))
- (else #f)))))))
- (define (make-vector<? element-comparator type-test length ref)
- (lambda (a b)
- (cond
- ((< (length a) (length b)) #t)
- ((> (length a) (length b)) #f)
- (else
- (let ((elem=? (comparator-equality-predicate element-comparator))
- (elem<? (comparator-ordering-predicate element-comparator))
- (len (length a)))
- (let loop ((n 0))
- (cond
- ((= n len) #f)
- ((elem=? (ref a n) (ref b n)) (loop (+ n 1)))
- ((elem<? (ref a n) (ref b n)) #t)
- (else #f))))))))
- (define (make-vector-hash element-comparator type-test length ref)
- (lambda (obj)
- (let ((elem-hash (comparator-hash-function element-comparator))
- (acc (make-hasher))
- (len (length obj)))
- (let loop ((n 0))
- (cond
- ((= n len) (acc))
- (else (acc (elem-hash (ref obj n))) (loop (+ n 1))))))))
- (define (string-hash obj)
- (let ((acc (make-hasher))
- (len (string-length obj)))
- (let loop ((n 0))
- (cond
- ((= n len) (acc))
- (else (acc (char->integer (string-ref obj n))) (loop (+ n 1)))))))
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