Added tests/list.test and tests/numbers.test. (numbers.test does not yet

contain the test cases from thi.)
This commit is contained in:
Dirk Herrmann 2000-05-08 17:54:51 +00:00
commit de142bea23
3 changed files with 1401 additions and 0 deletions

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@ -1,3 +1,7 @@
2000-05-08 Dirk Herrmann <D.Herrmann@tu-bs.de>
* tests/list.test, tests/numbers.test: Added.
2000-05-08 Dirk Herrmann <D.Herrmann@tu-bs.de>
* guile-test: Eliminate use of catch-test-errors.

520
test-suite/tests/list.test Normal file
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;;;; list.test --- tests guile's lists -*- scheme -*-
;;;; Copyright (C) 2000 Free Software Foundation, Inc.
;;;;
;;;; This program is free software; you can redistribute it and/or modify
;;;; it under the terms of the GNU General Public License as published by
;;;; the Free Software Foundation; either version 2, or (at your option)
;;;; any later version.
;;;;
;;;; This program is distributed in the hope that it will be useful,
;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;;;; GNU General Public License for more details.
;;;;
;;;; You should have received a copy of the GNU General Public License
;;;; along with this software; see the file COPYING. If not, write to
;;;; the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
;;;; Boston, MA 02111-1307 USA
;;;;
;;;; As a special exception, the Free Software Foundation gives permission
;;;; for additional uses of the text contained in its release of GUILE.
;;;;
;;;; The exception is that, if you link the GUILE library with other files
;;;; to produce an executable, this does not by itself cause the
;;;; resulting executable to be covered by the GNU General Public License.
;;;; Your use of that executable is in no way restricted on account of
;;;; linking the GUILE library code into it.
;;;;
;;;; This exception does not however invalidate any other reasons why
;;;; the executable file might be covered by the GNU General Public License.
;;;;
;;;; This exception applies only to the code released by the
;;;; Free Software Foundation under the name GUILE. If you copy
;;;; code from other Free Software Foundation releases into a copy of
;;;; GUILE, as the General Public License permits, the exception does
;;;; not apply to the code that you add in this way. To avoid misleading
;;;; anyone as to the status of such modified files, you must delete
;;;; this exception notice from them.
;;;;
;;;; If you write modifications of your own for GUILE, it is your choice
;;;; whether to permit this exception to apply to your modifications.
;;;; If you do not wish that, delete this exception notice.
(use-modules (ice-9 doc))
;;;
;;; miscellaneous
;;;
;;
;; This unique tag is reserved for the unroll and diff-unrolled functions.
;;
(define circle-indicator
(cons 'circle 'indicator))
;;
;; Extract every single scheme object that is contained within OBJ into a new
;; data structure. That means, if OBJ somewhere contains a pair, the newly
;; created structure holds a reference to the pair as well as references to
;; the car and cdr of that pair. For vectors, the newly created structure
;; holds a reference to that vector as well as references to every element of
;; that vector. Since this is done recursively, the original data structure
;; is deeply unrolled. If there are circles within the original data
;; structures, every reference that points backwards into the data structure
;; is denoted by storing the circle-indicator tag as well as the object the
;; circular reference points to.
;;
(define (unroll obj)
(let unroll* ((objct obj)
(hist '()))
(reverse!
(let loop ((object objct)
(histry hist)
(result '()))
(if (memq object histry)
(cons (cons circle-indicator object) result)
(let ((history (cons object histry)))
(cond ((pair? object)
(loop (cdr object) history
(cons (cons object (unroll* (car object) history))
result)))
((vector? object)
(cons (cons object
(map (lambda (x)
(unroll* x history))
(vector->list object)))
result))
(else (cons object result)))))))))
;;
;; Compare two data-structures that were generated with unroll. If any of the
;; elements found not to be eq?, return a pair that holds the position of the
;; first found differences of the two data structures. If all elements are
;; found to be eq?, #f is returned.
;;
(define (diff-unrolled a b)
(cond ;; has everything been compared already?
((and (null? a) (null? b))
#f)
;; do both structures still contain elements?
((and (pair? a) (pair? b))
(cond ;; are the next elements both plain objects?
((and (not (pair? (car a))) (not (pair? (car b))))
(if (eq? (car a) (car b))
(diff-unrolled (cdr a) (cdr b))
(cons a b)))
;; are the next elements both container objects?
((and (pair? (car a)) (pair? (car b)))
(if (eq? (caar a) (caar b))
(cond ;; do both objects close a circular structure?
((eq? circle-indicator (caar a))
(if (eq? (cdar a) (cdar b))
(diff-unrolled (cdr a) (cdr b))
(cons a b)))
;; do both objects hold a vector?
((vector? (caar a))
(or (let loop ((a1 (cdar a)) (b1 (cdar b)))
(cond
((and (null? a1) (null? b1))
#f)
((and (pair? a1) (pair? b1))
(or (diff-unrolled (car a1) (car b1))
(loop (cdr a1) (cdr b1))))
(else
(cons a1 b1))))
(diff-unrolled (cdr a) (cdr b))))
;; do both objects hold a pair?
(else
(or (diff-unrolled (cdar a) (cdar b))
(diff-unrolled (cdr a) (cdr b)))))
(cons a b)))
(else
(cons a b))))
(else
(cons a b))))
;;; list
;;; list*
;;; null?
;;; list?
;;; length
;;; append
;;;
;;; append!
;;;
(with-test-prefix "append!"
;; Is documentation available?
(pass-if "documented?"
(let ((documented #f))
(with-output-to-string
(lambda ()
(set! documented (documentation 'append!))))
documented))
;; Is the handling of empty lists as arguments correct?
(pass-if "no arguments"
(eq? (append!)
'()))
(pass-if "empty list argument"
(eq? (append! '())
'()))
(pass-if "some empty list arguments"
(eq? (append! '() '() '())
'()))
;; Does the last non-empty-list argument remain unchanged?
(pass-if "some empty lists with non-empty list"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(tst (append! '() '() '() foo))
(tst-unrolled (unroll tst)))
(and (eq? tst foo)
(not (diff-unrolled foo-unrolled tst-unrolled)))))
(pass-if "some empty lists with improper list"
(let* ((foo (cons 1 2))
(foo-unrolled (unroll foo))
(tst (append! '() '() '() foo))
(tst-unrolled (unroll tst)))
(and (eq? tst foo)
(not (diff-unrolled foo-unrolled tst-unrolled)))))
(pass-if "some empty lists with circular list"
(let ((foo (list 1 2)))
(set-cdr! (cdr foo) (cdr foo))
(let* ((foo-unrolled (unroll foo))
(tst (append! '() '() '() foo))
(tst-unrolled (unroll tst)))
(and (eq? tst foo)
(not (diff-unrolled foo-unrolled tst-unrolled))))))
(pass-if "some empty lists with non list object"
(let* ((foo (vector 1 2 3))
(foo-unrolled (unroll foo))
(tst (append! '() '() '() foo))
(tst-unrolled (unroll tst)))
(and (eq? tst foo)
(not (diff-unrolled foo-unrolled tst-unrolled)))))
(pass-if "non-empty list between empty lists"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(tst (append! '() '() '() foo '() '() '()))
(tst-unrolled (unroll tst)))
(and (eq? tst foo)
(not (diff-unrolled foo-unrolled tst-unrolled)))))
;; Are arbitrary lists append!ed correctly?
(pass-if "two one-element lists"
(let* ((foo (list 1))
(foo-unrolled (unroll foo))
(bar (list 2))
(bar-unrolled (unroll bar))
(tst (append! foo bar))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? tst '(1 2))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(not (diff-unrolled bar-unrolled (cdr diff-foo-tst))))))
(pass-if "three one-element lists"
(let* ((foo (list 1))
(foo-unrolled (unroll foo))
(bar (list 2))
(bar-unrolled (unroll bar))
(baz (list 3))
(baz-unrolled (unroll baz))
(tst (append! foo bar baz))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? tst '(1 2 3))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(let* ((tst-unrolled-2 (cdr diff-foo-tst))
(diff-foo-bar (diff-unrolled bar-unrolled tst-unrolled-2)))
(and (not (diff-unrolled (car diff-foo-bar) (unroll '())))
(not (diff-unrolled baz-unrolled (cdr diff-foo-bar))))))))
(pass-if "two two-element lists"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(bar (list 3 4))
(bar-unrolled (unroll bar))
(tst (append! foo bar))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? tst '(1 2 3 4))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(not (diff-unrolled bar-unrolled (cdr diff-foo-tst))))))
(pass-if "three two-element lists"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(bar (list 3 4))
(bar-unrolled (unroll bar))
(baz (list 5 6))
(baz-unrolled (unroll baz))
(tst (append! foo bar baz))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? tst '(1 2 3 4 5 6))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(let* ((tst-unrolled-2 (cdr diff-foo-tst))
(diff-foo-bar (diff-unrolled bar-unrolled tst-unrolled-2)))
(and (not (diff-unrolled (car diff-foo-bar) (unroll '())))
(not (diff-unrolled baz-unrolled (cdr diff-foo-bar))))))))
(pass-if "empty list between non-empty lists"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(bar (list 3 4))
(bar-unrolled (unroll bar))
(baz (list 5 6))
(baz-unrolled (unroll baz))
(tst (append! foo '() bar '() '() baz '() '() '()))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? tst '(1 2 3 4 5 6))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(let* ((tst-unrolled-2 (cdr diff-foo-tst))
(diff-foo-bar (diff-unrolled bar-unrolled tst-unrolled-2)))
(and (not (diff-unrolled (car diff-foo-bar) (unroll '())))
(not (diff-unrolled baz-unrolled (cdr diff-foo-bar))))))))
(pass-if "list and improper list"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(bar (cons 3 4))
(bar-unrolled (unroll bar))
(tst (append! foo bar))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? tst '(1 2 3 . 4))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(not (diff-unrolled bar-unrolled (cdr diff-foo-tst))))))
(pass-if "list and circular list"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(bar (list 3 4 5)))
(set-cdr! (cddr bar) (cdr bar))
(let* ((bar-unrolled (unroll bar))
(tst (append! foo bar))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? (map (lambda (n x) (eqv? (list-ref tst n) x))
(iota 9)
'(1 2 3 4 5 4 5 4 5))
'(#t #t #t #t #t #t #t #t #t))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(not (diff-unrolled bar-unrolled (cdr diff-foo-tst)))))))
(pass-if "list and non list object"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(bar (vector 3 4))
(bar-unrolled (unroll bar))
(tst (append! foo bar))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? tst '(1 2 . #(3 4)))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(not (diff-unrolled bar-unrolled (cdr diff-foo-tst))))))
(pass-if "several arbitrary lists"
(equal? (append! (list 1 2)
(list (list 3) 4)
(list (list 5) (list 6))
(list 7 (cons 8 9))
(list 10 11)
(list (cons 12 13) 14)
(list (list)))
(list 1 2
(list 3) 4
(list 5) (list 6)
7 (cons 8 9)
10 11
(cons 12 13)
14 (list))))
(pass-if "list to itself"
(let* ((foo (list 1 2))
(foo-unrolled (unroll foo))
(tst (append! foo foo))
(tst-unrolled (unroll tst))
(diff-foo-tst (diff-unrolled foo-unrolled tst-unrolled)))
(and (equal? (map (lambda (n x) (eqv? (list-ref tst n) x))
(iota 6)
'(1 2 1 2 1 2))
'(#t #t #t #t #t #t))
(not (diff-unrolled (car diff-foo-tst) (unroll '())))
(eq? (caar (cdr diff-foo-tst)) circle-indicator)
(eq? (cdar (cdr diff-foo-tst)) foo))))
;; Are wrong type arguments detected correctly?
(with-test-prefix "wrong argument"
(expect-fail "improper list and empty list"
(catch 'wrong-type-arg
(lambda ()
(append! (cons 1 2) '())
#f)
(lambda (key . args)
#t)))
(expect-fail "improper list and list"
(catch 'wrong-type-arg
(lambda ()
(append! (cons 1 2) (list 3 4))
#f)
(lambda (key . args)
#t)))
(expect-fail "list, improper list and list"
(catch 'wrong-type-arg
(lambda ()
(append! (list 1 2) (cons 3 4) (list 5 6))
#f)
(lambda (key . args)
#t)))
(expect-fail "circular list and empty list"
(let ((foo (list 1 2 3)))
(set-cdr! (cddr foo) (cdr foo))
(catch #t
(lambda ()
(catch 'wrong-type-arg
(lambda ()
(append! foo '())
#f)
(lambda (key . args)
#t)))
(lambda (key . args)
#f))))
(expect-fail "circular list and list"
(let ((foo (list 1 2 3)))
(set-cdr! (cddr foo) (cdr foo))
(catch #t
(lambda ()
(catch 'wrong-type-arg
(lambda ()
(append! foo (list 4 5))
#f)
(lambda (key . args)
#t)))
(lambda (key . args)
#f))))
(expect-fail "list, circular list and list"
(let ((foo (list 3 4 5)))
(set-cdr! (cddr foo) (cdr foo))
(catch #t
(lambda ()
(catch 'wrong-type-arg
(lambda ()
(append! (list 1 2) foo (list 6 7))
#f)
(lambda (key . args)
#t)))
(lambda (key . args)
#f))))))
;;; last-pair
;;; reverse
;;; reverse!
;;; list-ref
;;; list-set!
;;; list-cdr-ref
;;; list-tail
;;; list-cdr-set!
;;; list-head
;;; list-copy
;;; sloppy-memq
;;; sloppy-memv
;;; sloppy-member
;;; memq
;;; memv
;;; member
;;; delq!
;;; delv!
;;; delete!
;;; delq
;;; delv
;;; delete
;;; delq1!
;;; delv1!
;;; delete1!

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;;;; numbers.test --- tests guile's numbers -*- scheme -*-
;;;; Copyright (C) 2000 Free Software Foundation, Inc.
;;;;
;;;; This program is free software; you can redistribute it and/or modify
;;;; it under the terms of the GNU General Public License as published by
;;;; the Free Software Foundation; either version 2, or (at your option)
;;;; any later version.
;;;;
;;;; This program is distributed in the hope that it will be useful,
;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;;;; GNU General Public License for more details.
;;;;
;;;; You should have received a copy of the GNU General Public License
;;;; along with this software; see the file COPYING. If not, write to
;;;; the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
;;;; Boston, MA 02111-1307 USA
;;;;
;;;; As a special exception, the Free Software Foundation gives permission
;;;; for additional uses of the text contained in its release of GUILE.
;;;;
;;;; The exception is that, if you link the GUILE library with other files
;;;; to produce an executable, this does not by itself cause the
;;;; resulting executable to be covered by the GNU General Public License.
;;;; Your use of that executable is in no way restricted on account of
;;;; linking the GUILE library code into it.
;;;;
;;;; This exception does not however invalidate any other reasons why
;;;; the executable file might be covered by the GNU General Public License.
;;;;
;;;; This exception applies only to the code released by the
;;;; Free Software Foundation under the name GUILE. If you copy
;;;; code from other Free Software Foundation releases into a copy of
;;;; GUILE, as the General Public License permits, the exception does
;;;; not apply to the code that you add in this way. To avoid misleading
;;;; anyone as to the status of such modified files, you must delete
;;;; this exception notice from them.
;;;;
;;;; If you write modifications of your own for GUILE, it is your choice
;;;; whether to permit this exception to apply to your modifications.
;;;; If you do not wish that, delete this exception notice.
(use-modules (ice-9 doc))
;;;
;;; miscellaneous
;;;
(define (documented? identifier)
(let ((documented #f))
(with-output-to-string
(lambda ()
(set! documented (documentation identifier))))
documented))
(define (make-test-name . args)
(with-output-to-string
(lambda ()
(for-each display args))))
(define bit-widths '(8 16 27 28 29 30 31 32 64 128 256))
(define (2^x-1 x)
(- (expt 2 x) 1))
(define (2^ x)
(expt 2 x))
(define (n=2^x-1 x)
(make-test-name "n = 2^" x " - 1"))
(define (n=-2^x+1 x)
(make-test-name "n = -2^" x " + 1"))
(define (n=2^ x)
(make-test-name "n = 2^" x))
(define (n=-2^ x)
(make-test-name "n = -2^" x))
;;;
;;; exact?
;;;
(with-test-prefix "exact?"
;; Is documentation available?
(pass-if "documented?"
(documented? 'exact?))
;; Special case: 0
(pass-if "0"
(eq? #t (exact? 0)))
;; integers:
(for-each
(lambda (x)
(pass-if (make-test-name "2^" x " - 1")
(eq? #t (exact? (2^x-1 x))))
(pass-if (make-test-name "-2^" x " + 1")
(eq? #t (exact? (- (2^x-1 x)))))
(pass-if (make-test-name "2^" x)
(eq? #t (exact? (2^ x))))
(pass-if (make-test-name "-2^" x)
(eq? #t (exact? (- (2^ x))))))
bit-widths)
;; floats: (FIXME: need more examples)
(for-each
(lambda (x)
(pass-if (make-test-name "sqrt((2^" x " - 1)^2 - 1)")
(eq? #f (exact? (sqrt (- (* (2^x-1 x) (2^x-1 x)) 1)))))
(pass-if (make-test-name "sqrt((2^" x ")^2 + 1)")
(eq? #f (exact? (sqrt (+ (* (2^ x) (2^ x)) 1))))))
bit-widths))
;;;
;;; odd?
;;;
;;;
;;; even?
;;;
;;;
;;; abs
;;;
;;;
;;; quotient
;;;
(with-test-prefix "quotient"
;; Is documentation available?
(expect-fail "documented?"
(documented? 'quotient))
;; Special case: 0 / n
(with-test-prefix "0 / n"
(pass-if "n = 1"
(eqv? 0 (quotient 0 1)))
(pass-if "n = -1"
(eqv? 0 (quotient 0 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (quotient 0 (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? 0 (quotient 0 (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? 0 (quotient 0 (expt 2 x))))
(pass-if (n=-2^ x)
(eqv? 0 (quotient 0 (- (expt 2 x))))))
bit-widths))
;; Special case: n / 1
(with-test-prefix "n / 1"
(pass-if "n = 1"
(eqv? 1 (quotient 1 1)))
(pass-if "n = -1"
(eqv? -1 (quotient -1 1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? (2^x-1 x) (quotient (2^x-1 x) 1)))
(pass-if (n=-2^x+1 x)
(eqv? (- (2^x-1 x)) (quotient (- (2^x-1 x)) 1)))
(pass-if (n=2^ x)
(eqv? (2^ x) (quotient (2^ x) 1)))
(pass-if (n=-2^ x)
(eqv? (- (2^ x)) (quotient (- (2^ x)) 1))))
bit-widths))
;; Special case: n / -1
(with-test-prefix "n / -1"
(pass-if "n = 1"
(eqv? -1 (quotient 1 -1)))
(pass-if "n = -1"
(eqv? 1 (quotient -1 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? (- (2^x-1 x)) (quotient (2^x-1 x) -1)))
(pass-if (n=-2^x+1 x)
(eqv? (2^x-1 x) (quotient (- (2^x-1 x)) -1)))
(pass-if (n=2^ x)
(eqv? (- (2^ x)) (quotient (2^ x) -1)))
(pass-if (n=-2^ x)
(eqv? (2^ x) (quotient (- (2^ x)) -1))))
bit-widths))
;; Special case: n / n
(with-test-prefix "n / n"
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 1 (quotient (2^x-1 x) (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? 1 (quotient (- (2^x-1 x)) (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? 1 (quotient (2^ x) (2^ x))))
(pass-if (n=-2^ x)
(eqv? 1 (quotient (- (2^ x)) (- (2^ x))))))
bit-widths))
;; Positive dividend and divisor
(pass-if "35 / 7"
(eqv? 5 (quotient 35 7)))
;; Negative dividend, positive divisor
(pass-if "-35 / 7"
(eqv? -5 (quotient -35 7)))
;; Positive dividend, negative divisor
(pass-if "35 / -7"
(eqv? -5 (quotient 35 -7)))
;; Negative dividend and divisor
(pass-if "-35 / -7"
(eqv? 5 (quotient -35 -7)))
;; Are numerical overflows detected correctly?
;; Are wrong type arguments detected correctly?
)
;;;
;;; remainder
;;;
(with-test-prefix "remainder"
;; Is documentation available?
(expect-fail "documented?"
(documented? 'remainder))
;; Special case: 0 / n
(with-test-prefix "0 / n"
(pass-if "n = 1"
(eqv? 0 (remainder 0 1)))
(pass-if "n = -1"
(eqv? 0 (remainder 0 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (remainder 0 (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? 0 (remainder 0 (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? 0 (remainder 0 (2^ x))))
(pass-if (n=-2^ x)
(eqv? 0 (remainder 0 (- (2^ x))))))
bit-widths))
;; Special case: n / 1
(with-test-prefix "n / 1"
(pass-if "n = 1"
(eqv? 0 (remainder 1 1)))
(pass-if "n = -1"
(eqv? 0 (remainder -1 1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (remainder (2^x-1 x) 1)))
(pass-if (n=-2^x+1 x)
(eqv? 0 (remainder (- (2^x-1 x)) 1)))
(pass-if (n=2^ x)
(eqv? 0 (remainder (2^ x) 1)))
(pass-if (n=-2^ x)
(eqv? 0 (remainder (- (2^ x)) 1))))
bit-widths))
;; Special case: n / -1
(with-test-prefix "n / -1"
(pass-if "n = 1"
(eqv? 0 (remainder 1 -1)))
(pass-if "n = -1"
(eqv? 0 (remainder -1 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (remainder (2^x-1 x) -1)))
(pass-if (n=-2^x+1 x)
(eqv? 0 (remainder (- (2^x-1 x)) -1)))
(pass-if (n=2^ x)
(eqv? 0 (remainder (2^ x) -1)))
(pass-if (n=-2^ x)
(eqv? 0 (remainder (- (2^ x)) -1))))
bit-widths))
;; Special case: n / n
(with-test-prefix "n / n"
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (remainder (2^x-1 x) (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? 0 (remainder (- (2^x-1 x)) (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? 0 (remainder (2^ x) (2^ x))))
(pass-if (n=-2^ x)
(eqv? 0 (remainder (- (2^ x)) (- (2^ x))))))
bit-widths))
;; Positive dividend and divisor
(pass-if "35 / 7"
(eqv? 0 (remainder 35 7)))
;; Negative dividend, positive divisor
(pass-if "-35 / 7"
(eqv? 0 (remainder -35 7)))
;; Positive dividend, negative divisor
(pass-if "35 / -7"
(eqv? 0 (remainder 35 -7)))
;; Negative dividend and divisor
(pass-if "-35 / -7"
(eqv? 0 (remainder -35 -7)))
;; Are numerical overflows detected correctly?
;; Are wrong type arguments detected correctly?
)
;;;
;;; modulo
;;;
(with-test-prefix "modulo"
;; Is documentation available?
(expect-fail "documented?"
(documented? 'modulo))
;; Special case: 0 % n
(with-test-prefix "0 % n"
(pass-if "n = 1"
(eqv? 0 (modulo 0 1)))
(pass-if "n = -1"
(eqv? 0 (modulo 0 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (modulo 0 (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? 0 (modulo 0 (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? 0 (modulo 0 (2^ x))))
(pass-if (n=-2^ x)
(eqv? 0 (modulo 0 (- (2^ x))))))
bit-widths))
;; Special case: n % 1
(with-test-prefix "n % 1"
(pass-if "n = 1"
(eqv? 0 (modulo 1 1)))
(pass-if "n = -1"
(eqv? 0 (modulo -1 1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (modulo (2^x-1 x) 1)))
(pass-if (n=-2^x+1 x)
(eqv? 0 (modulo (- (2^x-1 x)) 1)))
(pass-if (n=2^ x)
(eqv? 0 (modulo (2^ x) 1)))
(pass-if (n=-2^ x)
(eqv? 0 (modulo (- (2^ x)) 1))))
bit-widths))
;; Special case: n % -1
(with-test-prefix "n % -1"
(pass-if "n = 1"
(eqv? 0 (modulo 1 -1)))
(pass-if "n = -1"
(eqv? 0 (modulo -1 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (modulo (2^x-1 x) -1)))
(pass-if (n=-2^x+1 x)
(eqv? 0 (modulo (- (2^x-1 x)) -1)))
(pass-if (n=2^ x)
(eqv? 0 (modulo (2^ x) -1)))
(pass-if (n=-2^ x)
(eqv? 0 (modulo (- (2^ x)) -1))))
bit-widths))
;; Special case: n % n
(with-test-prefix "n % n"
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 0 (modulo (2^x-1 x) (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? 0 (modulo (- (2^x-1 x)) (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? 0 (modulo (2^ x) (2^ x))))
(pass-if (n=-2^ x)
(eqv? 0 (modulo (- (2^ x)) (- (2^ x))))))
bit-widths))
;; Positive dividend and divisor
(pass-if "13 % 4"
(eqv? 1 (modulo 13 4)))
(pass-if "2177452800 % 86400"
(eqv? 0 (modulo 2177452800 86400)))
;; Negative dividend, positive divisor
(pass-if "-13 % 4"
(eqv? 3 (modulo -13 4)))
(pass-if "-2177452800 % 86400"
(eqv? 0 (modulo -2177452800 86400)))
;; Positive dividend, negative divisor
(pass-if "13 % -4"
(eqv? -3 (modulo 13 -4)))
(pass-if "2177452800 % -86400"
(eqv? 0 (modulo 2177452800 -86400)))
;; Negative dividend and divisor
(pass-if "-13 % -4"
(eqv? -1 (modulo -13 -4)))
(pass-if "-2177452800 % -86400"
(eqv? 0 (modulo -2177452800 -86400)))
;; Are numerical overflows detected correctly?
;; Are wrong type arguments detected correctly?
)
;;;
;;; gcd
;;;
(with-test-prefix "gcd"
;; Is documentation available?
(expect-fail "documented?"
(documented? 'gcd))
;; Special case: gcd 0 n
(with-test-prefix "(0 n)"
(pass-if "n = 1"
(eqv? 1 (gcd 0 1)))
(pass-if "n = -1"
(eqv? 1 (gcd 0 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? (2^x-1 x) (gcd 0 (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? (2^x-1 x) (gcd 0 (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? (2^ x) (gcd 0 (2^ x))))
(pass-if (n=-2^ x)
(eqv? (2^ x) (gcd 0 (- (2^ x))))))
bit-widths))
;; Special case: gcd n 0
(with-test-prefix "(n 0)"
(pass-if "n = 1"
(eqv? 1 (gcd 1 0)))
(pass-if "n = -1"
(eqv? 1 (gcd -1 0)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? (2^x-1 x) (gcd (2^x-1 x) 0)))
(pass-if (n=-2^x+1 x)
(eqv? (2^x-1 x) (gcd (- (2^x-1 x)) 0)))
(pass-if (n=2^ x)
(eqv? (2^ x) (gcd (2^ x) 0)))
(pass-if (n=-2^ x)
(eqv? (2^ x) (gcd (- (2^ x)) 0))))
bit-widths))
;; Special case: gcd 1 n
(with-test-prefix "(1 n)"
(pass-if "n = 1"
(eqv? 1 (gcd 1 1)))
(pass-if "n = -1"
(eqv? 1 (gcd 1 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 1 (gcd 1 (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? 1 (gcd 1 (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? 1 (gcd 1 (2^ x))))
(pass-if (n=-2^ x)
(eqv? 1 (gcd 1 (- (2^ x))))))
bit-widths))
;; Special case: gcd n 1
(with-test-prefix "(n 1)"
(pass-if "n = -1"
(eqv? 1 (gcd -1 1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 1 (gcd (2^x-1 x) 1)))
(pass-if (n=-2^x+1 x)
(eqv? 1 (gcd (- (2^x-1 x)) 1)))
(pass-if (n=2^ x)
(eqv? 1 (gcd (2^ x) 1)))
(pass-if (n=-2^ x)
(eqv? 1 (gcd (- (2^ x)) 1))))
bit-widths))
;; Special case: gcd -1 n
(with-test-prefix "(-1 n)"
(pass-if "n = -1"
(eqv? 1 (gcd -1 -1)))
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 1 (gcd -1 (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? 1 (gcd -1 (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? 1 (gcd -1 (2^ x))))
(pass-if (n=-2^ x)
(eqv? 1 (gcd -1 (- (2^ x))))))
bit-widths))
;; Special case: gcd n -1
(with-test-prefix "(n -1)"
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? 1 (gcd (2^x-1 x) -1)))
(pass-if (n=-2^x+1 x)
(eqv? 1 (gcd (- (2^x-1 x)) -1)))
(pass-if (n=2^ x)
(eqv? 1 (gcd (2^ x) -1)))
(pass-if (n=-2^ x)
(eqv? 1 (gcd (- (2^ x)) -1))))
bit-widths))
;; Special case: gcd n n
(with-test-prefix "(n n)"
(for-each
(lambda (x)
(pass-if (n=2^x-1 x)
(eqv? (2^x-1 x) (gcd (2^x-1 x) (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(eqv? (2^x-1 x) (gcd (- (2^x-1 x)) (- (2^x-1 x)))))
(pass-if (n=2^ x)
(eqv? (2^ x) (gcd (2^ x) (2^ x))))
(pass-if (n=-2^ x)
(eqv? (2^ x) (gcd (- (2^ x)) (- (2^ x))))))
bit-widths))
;; Are wrong type arguments detected correctly?
)
;;;
;;; <
;;;
(with-test-prefix "<"
;; Is documentation available?
(expect-fail "documented?"
(documented? '<))
;; Special case: 0 < n
(with-test-prefix "(< 0 n)"
(pass-if "n = 0"
(not (< 0 0)))
(pass-if "n = 0.0"
(not (< 0 0.0)))
(pass-if "n = 1"
(< 0 1))
(pass-if "n = 1.0"
(< 0 1.0))
(pass-if "n = -1"
(not (< 0 -1)))
(pass-if "n = -1.0"
(not (< 0 -1.0)))
(for-each ;; FIXME: compare agains floats.
(lambda (x)
(pass-if (n=2^x-1 x)
(< 0 (2^x-1 x)))
(pass-if (n=-2^x+1 x)
(not (< 0 (- (2^x-1 x)))))
(pass-if (n=2^ x)
(< 0 (2^ x)))
(pass-if (n=-2^ x)
(not (< 0 (- (2^ x))))))
bit-widths))
;; Special case: 0.0 < n
(with-test-prefix "(< 0.0 n)"
(pass-if "n = 0"
(not (< 0.0 0)))
(pass-if "n = 0.0"
(not (< 0.0 0.0)))
(pass-if "n = 1"
(< 0.0 1))
(pass-if "n = 1.0"
(< 0.0 1.0))
(pass-if "n = -1"
(not (< 0.0 -1)))
(pass-if "n = -1.0"
(not (< 0.0 -1.0)))
(for-each ;; FIXME: compare agains floats.
(lambda (x)
(pass-if (n=2^x-1 x)
(< 0.0 (2^x-1 x)))
(pass-if (n=-2^x+1 x)
(not (< 0.0 (- (2^x-1 x)))))
(pass-if (n=2^ x)
(< 0.0 (2^ x)))
(pass-if (n=-2^ x)
(not (< 0.0 (- (2^ x))))))
bit-widths))
;; Special case: n < 0
(with-test-prefix "(< n 0)"
(pass-if "n = 1"
(not (< 1 0)))
(pass-if "n = 1.0"
(not (< 1.0 0)))
(pass-if "n = -1"
(< -1 0))
(pass-if "n = -1.0"
(< -1.0 0))
(for-each ;; FIXME: compare agains floats.
(lambda (x)
(pass-if (n=2^x-1 x)
(not (< (2^x-1 x) 0)))
(pass-if (n=-2^x+1 x)
(< (- (2^x-1 x)) 0))
(pass-if (n=2^ x)
(not (< (2^ x) 0)))
(pass-if (n=-2^ x)
(< (- (2^ x)) 0)))
bit-widths))
;; Special case: n < 0.0
(with-test-prefix "(< n 0.0)"
(pass-if "n = 1"
(not (< 1 0.0)))
(pass-if "n = 1.0"
(not (< 1.0 0.0)))
(pass-if "n = -1"
(< -1 0.0))
(pass-if "n = -1.0"
(< -1.0 0.0))
(for-each ;; FIXME: compare agains floats.
(lambda (x)
(pass-if (n=2^x-1 x)
(not (< (2^x-1 x) 0.0)))
(pass-if (n=-2^x+1 x)
(< (- (2^x-1 x)) 0.0))
(pass-if (n=2^ x)
(not (< (2^ x) 0.0)))
(pass-if (n=-2^ x)
(< (- (2^ x)) 0.0)))
bit-widths))
;; Special case: n < n
(with-test-prefix "(< n n)"
(pass-if "n = 1"
(not (< 1 1)))
(pass-if "n = 1.0"
(not (< 1.0 1.0)))
(pass-if "n = -1"
(not (< -1 -1)))
(pass-if "n = -1.0"
(not (< -1.0 -1.0)))
(for-each ;; FIXME: compare agains floats.
(lambda (x)
(pass-if (n=2^x-1 x)
(not (< (2^x-1 x) (2^x-1 x))))
(pass-if (n=-2^x+1 x)
(not (< (- (2^x-1 x)) (- (2^x-1 x)))))
(pass-if (n=2^ x)
(not (< (2^ x) (2^ x))))
(pass-if (n=-2^ x)
(not (< (- (2^ x)) (- (2^ x))))))
bit-widths))
;; Special case: n < n + 1
(with-test-prefix "(< n (+ n 1))"
(pass-if "n = 1"
(< 1 2))
(pass-if "n = 1.0"
(< 1.0 2.0))
(pass-if "n = -1"
(< -1 0))
(pass-if "n = -1.0"
(< -1.0 0.0))
(for-each ;; FIXME: compare agains floats.
(lambda (x)
(pass-if (n=2^x-1 x)
(< (2^x-1 x) (+ (2^x-1 x) 1)))
(pass-if (n=-2^x+1 x)
(< (- (2^x-1 x)) (+ (- (2^x-1 x)) 1)))
(pass-if (n=2^ x)
(< (2^ x) (+ (2^ x) 1)))
(pass-if (n=-2^ x)
(< (- (2^ x)) (+ (- (2^ x)) 1))))
bit-widths))
;; Special case: n < n - 1
(with-test-prefix "(< n (- n 1))"
(pass-if "n = -1"
(not (< -1 -2)))
(pass-if "n = -1.0"
(not (< -1.0 -2.0)))
(for-each ;; FIXME: compare agains floats.
(lambda (x)
(pass-if (n=2^x-1 x)
(not (< (2^x-1 x) (- (2^x-1 x) 1))))
(pass-if (n=-2^x+1 x)
(not (< (- (2^x-1 x)) (- (- (2^x-1 x)) 1))))
(pass-if (n=2^ x)
(not (< (2^ x) (- (2^ x) 1))))
(pass-if (n=-2^ x)
(not (< (- (2^ x)) (- (- (2^ x)) 1)))))
bit-widths))
;; Special case:
)