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;;; -*- Mode: Scheme -*-
;;; Copyright (c) 2010--2011 Taylor R. Campbell
;;; All rights reserved.
;;;
;;; Redistribution and use in source and binary forms, with or without
;;; modification, are permitted provided that the following conditions
;;; are met:
;;; 1. Redistributions of source code must retain the above copyright
;;; notice, this list of conditions and the following disclaimer.
;;; 2. Redistributions in binary form must reproduce the above copyright
;;; notice, this list of conditions and the following disclaimer in the
;;; documentation and/or other materials provided with the distribution.
;;;
;;; THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
;;; ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
;;; IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
;;; ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
;;; FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
;;; DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
;;; OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
;;; HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
;;; LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
;;; OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
;;; SUCH DAMAGE.
;;;; Tests of integer division operators
(declare (usual-integrations))
(define (check-division n d correct-q q r)
(let ((correct-r (- n (* d correct-q))))
(assert-eqv q correct-q)
(assert-eqv r correct-r)))
(define division-test-iterations #x1000)
;; Such a huge bound as this tests bignum arithmetic, not just fixnum
;; arithmetic.
(define division-test-bound #x100000000000000000000000000000000)
(define (random-sign a b)
((if (zero? (random-integer 2)) - +) a b))
(define (randomly-generate-operands n+ d+ receiver)
(do ((i 0 (+ i 1))) ((>= i division-test-iterations))
(let ((n (n+ 0 (random-integer division-test-bound)))
(d (d+ 0 (+ 1 (random-integer (- division-test-bound 1))))))
(receiver n d))))
(define (randomly-generate-divisors d+ receiver)
(do ((i 0 (+ i 1))) ((>= i division-test-iterations))
(let ((d (d+ 0 (+ 1 (random-integer (- division-test-bound 1))))))
(receiver d))))
(define (randomly-test-division n+ d+ / quotient remainder divider)
(randomly-generate-operands n+ d+
(lambda (n d)
(let ((correct-q (divider n d)))
(check-division n d correct-q (quotient n d) (remainder n d))
(receive (q r) (/ n d)
(check-division n d correct-q q r))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:CEILING+/+
(lambda ()
(randomly-test-division + + ceiling/ ceiling-quotient ceiling-remainder
(lambda (n d) (ceiling (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:CEILING-/+
(lambda ()
(randomly-test-division - + ceiling/ ceiling-quotient ceiling-remainder
(lambda (n d) (ceiling (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:CEILING+/-
(lambda ()
(randomly-test-division + - ceiling/ ceiling-quotient ceiling-remainder
(lambda (n d) (ceiling (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:CEILING-/-
(lambda ()
(randomly-test-division - - ceiling/ ceiling-quotient ceiling-remainder
(lambda (n d) (ceiling (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:EUCLIDEAN+/+
(lambda ()
(randomly-test-division
+ + euclidean/ euclidean-quotient euclidean-remainder
(lambda (n d) ((if (< d 0) ceiling floor) (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:EUCLIDEAN-/+
(lambda ()
(randomly-test-division
- + euclidean/ euclidean-quotient euclidean-remainder
(lambda (n d) ((if (< d 0) ceiling floor) (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:EUCLIDEAN+/-
(lambda ()
(randomly-test-division
+ - euclidean/ euclidean-quotient euclidean-remainder
(lambda (n d) ((if (< d 0) ceiling floor) (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:EUCLIDEAN-/-
(lambda ()
(randomly-test-division
- - euclidean/ euclidean-quotient euclidean-remainder
(lambda (n d) ((if (< d 0) ceiling floor) (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:FLOOR+/+
(lambda ()
(randomly-test-division + + floor/ floor-quotient floor-remainder
(lambda (n d) (floor (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:FLOOR-/+
(lambda ()
(randomly-test-division - + floor/ floor-quotient floor-remainder
(lambda (n d) (floor (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:FLOOR+/-
(lambda ()
(randomly-test-division + - floor/ floor-quotient floor-remainder
(lambda (n d) (floor (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:FLOOR-/-
(lambda ()
(randomly-test-division - - floor/ floor-quotient floor-remainder
(lambda (n d) (floor (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:ROUND+/+
(lambda ()
(randomly-test-division + + round/ round-quotient round-remainder
(lambda (n d) (round (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:ROUND-/+
(lambda ()
(randomly-test-division - + round/ round-quotient round-remainder
(lambda (n d) (round (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:ROUND+/-
(lambda ()
(randomly-test-division + - round/ round-quotient round-remainder
(lambda (n d) (round (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:ROUND-/-
(lambda ()
(randomly-test-division - - round/ round-quotient round-remainder
(lambda (n d) (round (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:TRUNCATE+/+
(lambda ()
(randomly-test-division + + truncate/ truncate-quotient truncate-remainder
(lambda (n d) (truncate (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:TRUNCATE-/+
(lambda ()
(randomly-test-division - + truncate/ truncate-quotient truncate-remainder
(lambda (n d) (truncate (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:TRUNCATE+/-
(lambda ()
(randomly-test-division + - truncate/ truncate-quotient truncate-remainder
(lambda (n d) (truncate (/ n d))))))
(define-test 'RANDOM-CORRECTNESS-TESTS:TRUNCATE-/-
(lambda ()
(randomly-test-division - - truncate/ truncate-quotient truncate-remainder
(lambda (n d) (truncate (/ n d))))))
(define (randomly-test-properties / assert-property)
(randomly-generate-operands random-sign random-sign
(lambda (n d) (receive (q r) (/ n d) (assert-property n d q r)))))
(define (assert-n=dq+r n d q r)
(assert-eqv (+ (* d q) r) n))
(define-test 'N=DQ+R-TESTS:EUCLIDEAN
(lambda () (randomly-test-properties euclidean/ assert-n=dq+r)))
(define-test 'N=DQ+R-TESTS:FLOOR
(lambda () (randomly-test-properties floor/ assert-n=dq+r)))
(define-test 'N=DQ+R-TESTS:ROUND
(lambda () (randomly-test-properties round/ assert-n=dq+r)))
(define-test 'N=DQ+R-TESTS:TRUNCATE
(lambda () (randomly-test-properties truncate/ assert-n=dq+r)))
(define (assert-r<d n d q r)
n q ;ignore
(assert-< (abs r) (abs d)))
(define (assert-r<d* n d q r)
n q ;ignore
(assert-< r (abs d)))
(define-test 'R<D-TESTS:CEILING
(lambda () (randomly-test-properties ceiling/ assert-r<d)))
(define-test 'R<D-TESTS:EUCLIDEAN
(lambda () (randomly-test-properties euclidean/ assert-r<d)))
(define-test 'R<D-TESTS:EUCLIDEAN*
(lambda () (randomly-test-properties euclidean/ assert-r<d*)))
(define-test 'R<D-TESTS:FLOOR
(lambda () (randomly-test-properties floor/ assert-r<d)))
(define-test 'R<D-TESTS:ROUND
(lambda () (randomly-test-properties round/ assert-r<d)))
(define-test 'R<D-TESTS:TRUNCATE
(lambda () (randomly-test-properties truncate/ assert-r<d)))
(define (assert-integral-quotient n d q r)
n d r ;ignore
(value-assert integer? "integer" q))
(define-test 'INTEGRAL-QUOTIENT-TESTS:CEILING
(lambda () (randomly-test-properties ceiling/ assert-integral-quotient)))
(define-test 'INTEGRAL-QUOTIENT-TESTS:EUCLIDEAN
(lambda () (randomly-test-properties euclidean/ assert-integral-quotient)))
(define-test 'INTEGRAL-QUOTIENT-TESTS:FLOOR
(lambda () (randomly-test-properties floor/ assert-integral-quotient)))
(define-test 'INTEGRAL-QUOTIENT-TESTS:ROUND
(lambda () (randomly-test-properties round/ assert-integral-quotient)))
(define-test 'INTEGRAL-QUOTIENT-TESTS:TRUNCATE
(lambda () (randomly-test-properties truncate/ assert-integral-quotient)))
(define (test-trivial-quotient quotient)
(assert-eqv (quotient +1 +1) +1)
(assert-eqv (quotient -1 +1) -1)
(assert-eqv (quotient +1 -1) -1)
(assert-eqv (quotient -1 -1) +1)
(assert-eqv (quotient 0 +1) 0)
(assert-eqv (quotient 0 -1) 0))
(define (test-trivial/ /)
(test-trivial-quotient (lambda (n d) (receive (q r) (/ n d) r q))))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:CEILING-QUOTIENT
(lambda () (test-trivial-quotient ceiling-quotient)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:CEILING/
(lambda () (test-trivial/ ceiling/)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:EUCLIDEAN-QUOTIENT
(lambda () (test-trivial-quotient euclidean-quotient)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:EUCLIDEAN/
(lambda () (test-trivial/ euclidean/)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:FLOOR-QUOTIENT
(lambda () (test-trivial-quotient floor-quotient)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:FLOOR/
(lambda () (test-trivial/ floor/)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:ROUND-QUOTIENT
(lambda () (test-trivial-quotient round-quotient)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:ROUND/
(lambda () (test-trivial/ round/)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:TRUNCATE-QUOTIENT
(lambda () (test-trivial-quotient truncate-quotient)))
(define-test 'TRIVIAL-DIVIDEND/TRIVIAL-DIVISOR-TESTS:TRUNCATE/
(lambda () (test-trivial/ truncate/)))
(define-test 'TRIVIAL-DIVIDEND/RANDOM-DIVISOR-TESTS:CEILING
(lambda ()
(randomly-generate-divisors random-sign
(lambda (d)
(assert-eqv (ceiling-quotient 0 d) 0)
(if (< 1 (abs d))
(begin
(assert-eqv (ceiling-quotient +1 d) (if (negative? d) 0 +1))
(assert-eqv (ceiling-quotient -1 d)
(if (negative? d) +1 0))))))))
(define-test 'TRIVIAL-DIVIDEND/RANDOM-DIVISOR-TESTS:EUCLIDEAN
(lambda ()
(randomly-generate-divisors random-sign
(lambda (d)
(assert-eqv (euclidean-quotient 0 d) 0)
(if (< 1 (abs d))
(begin
(assert-eqv (euclidean-quotient +1 d) 0)
(assert-eqv (euclidean-quotient -1 d)
(if (negative? d) +1 -1))))))))
(define-test 'TRIVIAL-DIVIDEND/RANDOM-DIVISOR-TESTS:FLOOR
(lambda ()
(randomly-generate-divisors random-sign
(lambda (d)
(assert-eqv (floor-quotient 0 d) 0)
(if (< 1 (abs d))
(begin
(assert-eqv (floor-quotient -1 d) (if (negative? d) 0 -1))
(assert-eqv (floor-quotient +1 d) (if (negative? d) -1 0))))))))
(define-test 'TRIVIAL-DIVIDEND/RANDOM-DIVISOR-TESTS:ROUND
(lambda ()
(randomly-generate-divisors random-sign
(lambda (d)
(assert-eqv (round-quotient -1 d) 0)
(assert-eqv (round-quotient 0 d) 0)
(assert-eqv (round-quotient +1 d) 0)))))
(define-test 'TRIVIAL-DIVIDEND/RANDOM-DIVISOR-TESTS:TRUNCATE
(lambda ()
(randomly-generate-divisors random-sign
(lambda (d)
(assert-eqv (truncate-quotient -1 d) 0)
(assert-eqv (truncate-quotient 0 d) 0)
(assert-eqv (truncate-quotient +1 d) 0)))))
|
