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1741 lines
37 KiB
Scheme
1741 lines
37 KiB
Scheme
;;;; numbers.test --- tests guile's numbers -*- scheme -*-
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;;;; Copyright (C) 2000, 2001, 2004 Free Software Foundation, Inc.
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;;;;
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;;;; This program is free software; you can redistribute it and/or modify
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;;;; it under the terms of the GNU General Public License as published by
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;;;; the Free Software Foundation; either version 2, or (at your option)
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;;;; any later version.
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;;;;
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;;;; This program is distributed in the hope that it will be useful,
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;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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;;;; GNU General Public License for more details.
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;;;;
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;;;; You should have received a copy of the GNU General Public License
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;;;; along with this software; see the file COPYING. If not, write to
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;;;; the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
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;;;; Boston, MA 02110-1301 USA
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;;;;
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;;;; As a special exception, the Free Software Foundation gives permission
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;;;; for additional uses of the text contained in its release of GUILE.
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;;;;
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;;;; The exception is that, if you link the GUILE library with other files
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;;;; to produce an executable, this does not by itself cause the
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;;;; resulting executable to be covered by the GNU General Public License.
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;;;; Your use of that executable is in no way restricted on account of
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;;;; linking the GUILE library code into it.
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;;;;
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;;;; This exception does not however invalidate any other reasons why
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;;;; the executable file might be covered by the GNU General Public License.
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;;;;
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;;;; This exception applies only to the code released by the
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;;;; Free Software Foundation under the name GUILE. If you copy
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;;;; code from other Free Software Foundation releases into a copy of
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;;;; GUILE, as the General Public License permits, the exception does
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;;;; not apply to the code that you add in this way. To avoid misleading
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;;;; anyone as to the status of such modified files, you must delete
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;;;; this exception notice from them.
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;;;;
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;;;; If you write modifications of your own for GUILE, it is your choice
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;;;; whether to permit this exception to apply to your modifications.
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;;;; If you do not wish that, delete this exception notice.
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(use-modules (ice-9 documentation))
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;;;
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;;; miscellaneous
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;;;
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(define (documented? object)
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(not (not (object-documentation object))))
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(define fixnum-bit
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(inexact->exact (+ (/ (log (+ most-positive-fixnum 1)) (log 2)) 1)))
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(define fixnum-min most-negative-fixnum)
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(define fixnum-max most-positive-fixnum)
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;;;
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;;; exact?
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;;;
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(with-test-prefix "exact?"
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(pass-if "documented?"
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(documented? exact?))
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(with-test-prefix "integers"
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(pass-if "0"
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(exact? 0))
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(pass-if "fixnum-max"
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(exact? fixnum-max))
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(pass-if "fixnum-max + 1"
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(exact? (+ fixnum-max 1)))
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(pass-if "fixnum-min"
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(exact? fixnum-min))
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(pass-if "fixnum-min - 1"
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(exact? (- fixnum-min 1))))
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(with-test-prefix "reals"
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;; (FIXME: need better examples.)
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(pass-if "sqrt (fixnum-max^2 - 1)"
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(eq? #f (exact? (sqrt (- (expt fixnum-max 2) 1)))))
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(pass-if "sqrt ((fixnum-max+1)^2 - 1)"
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(eq? #f (exact? (sqrt (- (expt (+ fixnum-max 1) 2) 1)))))))
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;;;
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;;; odd?
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;;;
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;;;
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;;; even?
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;;;
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;;;
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;;; abs
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;;;
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;;;
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;;; quotient
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;;;
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(with-test-prefix "quotient"
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(expect-fail "documented?"
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(documented? quotient))
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(with-test-prefix "0 / n"
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(pass-if "n = 1"
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(eqv? 0 (quotient 0 1)))
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(pass-if "n = -1"
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(eqv? 0 (quotient 0 -1)))
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(pass-if "n = 2"
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(eqv? 0 (quotient 0 2)))
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(pass-if "n = fixnum-max"
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(eqv? 0 (quotient 0 fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 0 (quotient 0 (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 0 (quotient 0 fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (quotient 0 (- fixnum-min 1)))))
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(with-test-prefix "1 / n"
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(pass-if "n = 1"
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(eqv? 1 (quotient 1 1)))
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(pass-if "n = -1"
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(eqv? -1 (quotient 1 -1)))
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(pass-if "n = 2"
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(eqv? 0 (quotient 1 2)))
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(pass-if "n = fixnum-max"
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(eqv? 0 (quotient 1 fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 0 (quotient 1 (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 0 (quotient 1 fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (quotient 1 (- fixnum-min 1)))))
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(with-test-prefix "-1 / n"
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(pass-if "n = 1"
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(eqv? -1 (quotient -1 1)))
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(pass-if "n = -1"
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(eqv? 1 (quotient -1 -1)))
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(pass-if "n = 2"
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(eqv? 0 (quotient -1 2)))
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(pass-if "n = fixnum-max"
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(eqv? 0 (quotient -1 fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 0 (quotient -1 (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 0 (quotient -1 fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (quotient -1 (- fixnum-min 1)))))
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(with-test-prefix "fixnum-max / n"
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(pass-if "n = 1"
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(eqv? fixnum-max (quotient fixnum-max 1)))
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(pass-if "n = -1"
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(eqv? (- fixnum-max) (quotient fixnum-max -1)))
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(pass-if "n = 2"
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(eqv? fixnum-max (+ (* (quotient fixnum-max 2) 2) 1)))
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(pass-if "n = fixnum-max"
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(eqv? 1 (quotient fixnum-max fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 0 (quotient fixnum-max (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 0 (quotient fixnum-max fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (quotient fixnum-max (- fixnum-min 1)))))
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(with-test-prefix "(fixnum-max + 1) / n"
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(pass-if "n = 1"
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(eqv? (+ fixnum-max 1) (quotient (+ fixnum-max 1) 1)))
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(pass-if "n = -1"
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(eqv? (- (+ fixnum-max 1)) (quotient (+ fixnum-max 1) -1)))
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(pass-if "n = 2"
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(eqv? (+ fixnum-max 1) (* (quotient (+ fixnum-max 1) 2) 2)))
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(pass-if "n = fixnum-max"
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(eqv? 1 (quotient (+ fixnum-max 1) fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 1 (quotient (+ fixnum-max 1) (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? -1 (quotient (+ fixnum-max 1) fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (quotient (+ fixnum-max 1) (- fixnum-min 1)))))
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(with-test-prefix "fixnum-min / n"
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(pass-if "n = 1"
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(eqv? fixnum-min (quotient fixnum-min 1)))
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(pass-if "n = -1"
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(eqv? (- fixnum-min) (quotient fixnum-min -1)))
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(pass-if "n = 2"
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(eqv? fixnum-min (* (quotient fixnum-min 2) 2)))
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(pass-if "n = fixnum-max"
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(eqv? -1 (quotient fixnum-min fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? -1 (quotient fixnum-min (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 1 (quotient fixnum-min fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (quotient fixnum-min (- fixnum-min 1)))))
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(with-test-prefix "(fixnum-min - 1) / n"
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(pass-if "n = 1"
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(eqv? (- fixnum-min 1) (quotient (- fixnum-min 1) 1)))
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(pass-if "n = -1"
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(eqv? (- (- fixnum-min 1)) (quotient (- fixnum-min 1) -1)))
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(pass-if "n = 2"
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(eqv? fixnum-min (* (quotient (- fixnum-min 1) 2) 2)))
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(pass-if "n = fixnum-max"
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(eqv? -1 (quotient (- fixnum-min 1) fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? -1 (quotient (- fixnum-min 1) (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 1 (quotient (- fixnum-min 1) fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 1 (quotient (- fixnum-min 1) (- fixnum-min 1)))))
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;; Positive dividend and divisor
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(pass-if "35 / 7"
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(eqv? 5 (quotient 35 7)))
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;; Negative dividend, positive divisor
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(pass-if "-35 / 7"
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(eqv? -5 (quotient -35 7)))
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;; Positive dividend, negative divisor
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(pass-if "35 / -7"
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(eqv? -5 (quotient 35 -7)))
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;; Negative dividend and divisor
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(pass-if "-35 / -7"
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(eqv? 5 (quotient -35 -7)))
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;; Are numerical overflows detected correctly?
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;; Are wrong type arguments detected correctly?
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)
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;;;
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;;; remainder
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;;;
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(with-test-prefix "remainder"
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(expect-fail "documented?"
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(documented? remainder))
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(with-test-prefix "0 / n"
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(pass-if "n = 1"
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(eqv? 0 (remainder 0 1)))
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(pass-if "n = -1"
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(eqv? 0 (remainder 0 -1)))
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(pass-if "n = fixnum-max"
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(eqv? 0 (remainder 0 fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 0 (remainder 0 (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 0 (remainder 0 fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (remainder 0 (- fixnum-min 1)))))
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(with-test-prefix "1 / n"
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(pass-if "n = 1"
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(eqv? 0 (remainder 1 1)))
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(pass-if "n = -1"
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(eqv? 0 (remainder 1 -1)))
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(pass-if "n = fixnum-max"
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(eqv? 1 (remainder 1 fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 1 (remainder 1 (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 1 (remainder 1 fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 1 (remainder 1 (- fixnum-min 1)))))
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(with-test-prefix "-1 / n"
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(pass-if "n = 1"
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(eqv? 0 (remainder -1 1)))
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(pass-if "n = -1"
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(eqv? 0 (remainder -1 -1)))
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(pass-if "n = fixnum-max"
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(eqv? -1 (remainder -1 fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? -1 (remainder -1 (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? -1 (remainder -1 fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? -1 (remainder -1 (- fixnum-min 1)))))
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(with-test-prefix "fixnum-max / n"
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(pass-if "n = 1"
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(eqv? 0 (remainder fixnum-max 1)))
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(pass-if "n = -1"
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(eqv? 0 (remainder fixnum-max -1)))
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(pass-if "n = fixnum-max"
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(eqv? 0 (remainder fixnum-max fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? fixnum-max (remainder fixnum-max (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? fixnum-max (remainder fixnum-max fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? fixnum-max (remainder fixnum-max (- fixnum-min 1)))))
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(with-test-prefix "(fixnum-max + 1) / n"
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(pass-if "n = 1"
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(eqv? 0 (remainder (+ fixnum-max 1) 1)))
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(pass-if "n = -1"
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(eqv? 0 (remainder (+ fixnum-max 1) -1)))
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(pass-if "n = fixnum-max"
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(eqv? 1 (remainder (+ fixnum-max 1) fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 0 (remainder (+ fixnum-max 1) (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 0 (remainder (+ fixnum-max 1) fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? (+ fixnum-max 1) (remainder (+ fixnum-max 1) (- fixnum-min 1)))))
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(with-test-prefix "fixnum-min / n"
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(pass-if "n = 1"
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(eqv? 0 (remainder fixnum-min 1)))
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(pass-if "n = -1"
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(eqv? 0 (remainder fixnum-min -1)))
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(pass-if "n = fixnum-max"
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(eqv? -1 (remainder fixnum-min fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 0 (remainder fixnum-min (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 0 (remainder fixnum-min fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? fixnum-min (remainder fixnum-min (- fixnum-min 1)))))
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(with-test-prefix "(fixnum-min - 1) / n"
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(pass-if "n = 1"
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(eqv? 0 (remainder (- fixnum-min 1) 1)))
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(pass-if "n = -1"
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(eqv? 0 (remainder (- fixnum-min 1) -1)))
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(pass-if "n = fixnum-max"
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(eqv? -2 (remainder (- fixnum-min 1) fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? -1 (remainder (- fixnum-min 1) (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? -1 (remainder (- fixnum-min 1) fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (remainder (- fixnum-min 1) (- fixnum-min 1)))))
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;; Positive dividend and divisor
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(pass-if "35 / 7"
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(eqv? 0 (remainder 35 7)))
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;; Negative dividend, positive divisor
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(pass-if "-35 / 7"
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(eqv? 0 (remainder -35 7)))
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;; Positive dividend, negative divisor
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(pass-if "35 / -7"
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(eqv? 0 (remainder 35 -7)))
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;; Negative dividend and divisor
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(pass-if "-35 / -7"
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(eqv? 0 (remainder -35 -7)))
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;; Are numerical overflows detected correctly?
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;; Are wrong type arguments detected correctly?
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)
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;;;
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;;; modulo
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;;;
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(with-test-prefix "modulo"
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(expect-fail "documented?"
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(documented? modulo))
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(with-test-prefix "0 % n"
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(pass-if "n = 1"
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(eqv? 0 (modulo 0 1)))
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(pass-if "n = -1"
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(eqv? 0 (modulo 0 -1)))
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(pass-if "n = fixnum-max"
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(eqv? 0 (modulo 0 fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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(eqv? 0 (modulo 0 (+ fixnum-max 1))))
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(pass-if "n = fixnum-min"
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(eqv? 0 (modulo 0 fixnum-min)))
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(pass-if "n = fixnum-min - 1"
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(eqv? 0 (modulo 0 (- fixnum-min 1)))))
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(with-test-prefix "1 % n"
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(pass-if "n = 1"
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(eqv? 0 (modulo 1 1)))
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(pass-if "n = -1"
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(eqv? 0 (modulo 1 -1)))
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(pass-if "n = fixnum-max"
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(eqv? 1 (modulo 1 fixnum-max)))
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(pass-if "n = fixnum-max + 1"
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|
(eqv? 1 (modulo 1 (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? (+ fixnum-min 1) (modulo 1 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? fixnum-min (modulo 1 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "-1 % n"
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 0 (modulo -1 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 0 (modulo -1 -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? (- fixnum-max 1) (modulo -1 fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? fixnum-max (modulo -1 (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? -1 (modulo -1 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? -1 (modulo -1 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "fixnum-max % n"
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 0 (modulo fixnum-max 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 0 (modulo fixnum-max -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? 0 (modulo fixnum-max fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? fixnum-max (modulo fixnum-max (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? -1 (modulo fixnum-max fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? -2 (modulo fixnum-max (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(fixnum-max + 1) % n"
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 0 (modulo (+ fixnum-max 1) 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 0 (modulo (+ fixnum-max 1) -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? 1 (modulo (+ fixnum-max 1) fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? 0 (modulo (+ fixnum-max 1) (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? 0 (modulo (+ fixnum-max 1) fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? -1 (modulo (+ fixnum-max 1) (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "fixnum-min % n"
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 0 (modulo fixnum-min 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 0 (modulo fixnum-min -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? (- fixnum-max 1) (modulo fixnum-min fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? 0 (modulo fixnum-min (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? 0 (modulo fixnum-min fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? fixnum-min (modulo fixnum-min (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(fixnum-min - 1) % n"
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 0 (modulo (- fixnum-min 1) 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 0 (modulo (- fixnum-min 1) -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? (- fixnum-max 2) (modulo (- fixnum-min 1) fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? fixnum-max (modulo (- fixnum-min 1) (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? -1 (modulo (- fixnum-min 1) fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? 0 (modulo (- fixnum-min 1) (- fixnum-min 1)))))
|
|
|
|
;; 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?
|
|
|
|
)
|
|
|
|
;;;
|
|
;;; numerator
|
|
;;;
|
|
|
|
(with-test-prefix "numerator"
|
|
(pass-if "0"
|
|
(eqv? 0 (numerator 0)))
|
|
(pass-if "1"
|
|
(eqv? 1 (numerator 1)))
|
|
(pass-if "2"
|
|
(eqv? 2 (numerator 2)))
|
|
(pass-if "-1"
|
|
(eqv? -1 (numerator -1)))
|
|
(pass-if "-2"
|
|
(eqv? -2 (numerator -2)))
|
|
|
|
(pass-if "0.0"
|
|
(eqv? 0.0 (numerator 0.0)))
|
|
(pass-if "1.0"
|
|
(eqv? 1.0 (numerator 1.0)))
|
|
(pass-if "2.0"
|
|
(eqv? 2.0 (numerator 2.0)))
|
|
(pass-if "-1.0"
|
|
(eqv? -1.0 (numerator -1.0)))
|
|
(pass-if "-2.0"
|
|
(eqv? -2.0 (numerator -2.0)))
|
|
|
|
(pass-if "0.5"
|
|
(eqv? 1.0 (numerator 0.5)))
|
|
(pass-if "0.25"
|
|
(eqv? 1.0 (numerator 0.25)))
|
|
(pass-if "0.75"
|
|
(eqv? 3.0 (numerator 0.75))))
|
|
|
|
;;;
|
|
;;; denominator
|
|
;;;
|
|
|
|
(with-test-prefix "denominator"
|
|
(pass-if "0"
|
|
(eqv? 1 (denominator 0)))
|
|
(pass-if "1"
|
|
(eqv? 1 (denominator 1)))
|
|
(pass-if "2"
|
|
(eqv? 1 (denominator 2)))
|
|
(pass-if "-1"
|
|
(eqv? 1 (denominator -1)))
|
|
(pass-if "-2"
|
|
(eqv? 1 (denominator -2)))
|
|
|
|
(pass-if "0.0"
|
|
(eqv? 1.0 (denominator 0.0)))
|
|
(pass-if "1.0"
|
|
(eqv? 1.0 (denominator 1.0)))
|
|
(pass-if "2.0"
|
|
(eqv? 1.0 (denominator 2.0)))
|
|
(pass-if "-1.0"
|
|
(eqv? 1.0 (denominator -1.0)))
|
|
(pass-if "-2.0"
|
|
(eqv? 1.0 (denominator -2.0)))
|
|
|
|
(pass-if "0.5"
|
|
(eqv? 2.0 (denominator 0.5)))
|
|
(pass-if "0.25"
|
|
(eqv? 4.0 (denominator 0.25)))
|
|
(pass-if "0.75"
|
|
(eqv? 4.0 (denominator 0.75))))
|
|
|
|
;;;
|
|
;;; gcd
|
|
;;;
|
|
|
|
(with-test-prefix "gcd"
|
|
|
|
(expect-fail "documented?"
|
|
(documented? gcd))
|
|
|
|
(with-test-prefix "(0 n)"
|
|
|
|
(pass-if "n = 0"
|
|
(eqv? 0 (gcd 0 0)))
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 1 (gcd 0 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 1 (gcd 0 -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? fixnum-max (gcd 0 fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? (+ fixnum-max 1) (gcd 0 (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? (- fixnum-min) (gcd 0 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? (- (- fixnum-min 1)) (gcd 0 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(1 n)"
|
|
|
|
(pass-if "n = 0"
|
|
(eqv? 1 (gcd 1 0)))
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 1 (gcd 1 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 1 (gcd 1 -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? 1 (gcd 1 fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? 1 (gcd 1 (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? 1 (gcd 1 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? 1 (gcd 1 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(-1 n)"
|
|
|
|
(pass-if "n = 0"
|
|
(eqv? 1 (gcd -1 0)))
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 1 (gcd -1 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 1 (gcd -1 -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? 1 (gcd -1 fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? 1 (gcd -1 (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? 1 (gcd -1 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? 1 (gcd -1 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(fixnum-max n)"
|
|
|
|
(pass-if "n = 0"
|
|
(eqv? fixnum-max (gcd fixnum-max 0)))
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 1 (gcd fixnum-max 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 1 (gcd fixnum-max -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? fixnum-max (gcd fixnum-max fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? 1 (gcd fixnum-max (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? 1 (gcd fixnum-max fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? 1 (gcd fixnum-max (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "((+ fixnum-max 1) n)"
|
|
|
|
(pass-if "n = 0"
|
|
(eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) 0)))
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 1 (gcd (+ fixnum-max 1) 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 1 (gcd (+ fixnum-max 1) -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? 1 (gcd (+ fixnum-max 1) fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? (+ fixnum-max 1) (gcd (+ fixnum-max 1) fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? 1 (gcd (+ fixnum-max 1) (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(fixnum-min n)"
|
|
|
|
(pass-if "n = 0"
|
|
(eqv? (- fixnum-min) (gcd fixnum-min 0)))
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 1 (gcd fixnum-min 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 1 (gcd fixnum-min -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? 1 (gcd fixnum-min fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? (+ fixnum-max 1) (gcd fixnum-min (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? (- fixnum-min) (gcd fixnum-min fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? 1 (gcd fixnum-min (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "((- fixnum-min 1) n)"
|
|
|
|
(pass-if "n = 0"
|
|
(eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) 0)))
|
|
|
|
(pass-if "n = 1"
|
|
(eqv? 1 (gcd (- fixnum-min 1) 1)))
|
|
|
|
(pass-if "n = -1"
|
|
(eqv? 1 (gcd (- fixnum-min 1) -1)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(eqv? 1 (gcd (- fixnum-min 1) fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(eqv? 1 (gcd (- fixnum-min 1) (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? 1 (gcd (- fixnum-min 1) fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? (- (- fixnum-min 1)) (gcd (- fixnum-min 1) (- fixnum-min 1)))))
|
|
|
|
;; Are wrong type arguments detected correctly?
|
|
|
|
)
|
|
|
|
;;;
|
|
;;; lcm
|
|
;;;
|
|
|
|
;;;
|
|
;;; number->string
|
|
;;;
|
|
|
|
;;;
|
|
;;; string->number
|
|
;;;
|
|
|
|
|
|
(with-test-prefix "string->number"
|
|
|
|
(pass-if "documented?"
|
|
(documented? string->number))
|
|
|
|
;; Prior to Guile 1.6.7 the bignum size calculation (used for strings >=
|
|
;; 6 chars) was wrong (for bases other than 2, 10 and 16), resulting in
|
|
;; numerical overflow errors for certain conversions.
|
|
;;
|
|
;; The following exercises string->number of strings like "999999" (each
|
|
;; digit is base-1) in bases 2 to 16.
|
|
;;
|
|
(do ((base 2 (1+ base)))
|
|
((> base 16))
|
|
|
|
(with-test-prefix (list 'base base)
|
|
|
|
(do ((digit (string-ref (number->string (1- base) base) 0))
|
|
(want (1- base) (+ (* want base) base -1))
|
|
(len 1 (1+ len)))
|
|
((> len 300))
|
|
|
|
(pass-if (list 'length len)
|
|
(eqv? want (string->number (make-string len digit) base))))))
|
|
|
|
;; in guile 1.6.7 and earlier, bad polar forms (where the conversion of
|
|
;; the angle gave #f) caused a segv
|
|
(pass-if "1@a"
|
|
(eq? #f (string->number "1@a"))))
|
|
|
|
;;;
|
|
;;; number?
|
|
;;;
|
|
|
|
;;;
|
|
;;; complex?
|
|
;;;
|
|
|
|
;;;
|
|
;;; real?
|
|
;;;
|
|
|
|
;;;
|
|
;;; rational?
|
|
;;;
|
|
|
|
;;;
|
|
;;; integer?
|
|
;;;
|
|
|
|
;;;
|
|
;;; inexact?
|
|
;;;
|
|
|
|
;;;
|
|
;;; =
|
|
;;;
|
|
|
|
;;;
|
|
;;; <
|
|
;;;
|
|
|
|
(with-test-prefix "<"
|
|
|
|
(expect-fail "documented?"
|
|
(documented? <))
|
|
|
|
(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)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(< 0 fixnum-max))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< 0 (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< 0 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< 0 (- fixnum-min 1)))))
|
|
|
|
(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)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(< 0.0 fixnum-max))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< 0.0 (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< 0.0 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< 0.0 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(< 1 n)"
|
|
|
|
(pass-if "n = 0"
|
|
(not (< 1 0)))
|
|
|
|
(pass-if "n = 0.0"
|
|
(not (< 1 0.0)))
|
|
|
|
(pass-if "n = 1"
|
|
(not (< 1 1)))
|
|
|
|
(pass-if "n = 1.0"
|
|
(not (< 1 1.0)))
|
|
|
|
(pass-if "n = -1"
|
|
(not (< 1 -1)))
|
|
|
|
(pass-if "n = -1.0"
|
|
(not (< 1 -1.0)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(< 1 fixnum-max))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< 1 (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< 1 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< 1 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(< 1.0 n)"
|
|
|
|
(pass-if "n = 0"
|
|
(not (< 1.0 0)))
|
|
|
|
(pass-if "n = 0.0"
|
|
(not (< 1.0 0.0)))
|
|
|
|
(pass-if "n = 1"
|
|
(not (< 1.0 1)))
|
|
|
|
(pass-if "n = 1.0"
|
|
(not (< 1.0 1.0)))
|
|
|
|
(pass-if "n = -1"
|
|
(not (< 1.0 -1)))
|
|
|
|
(pass-if "n = -1.0"
|
|
(not (< 1.0 -1.0)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(< 1.0 fixnum-max))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< 1.0 (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< 1.0 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< 1.0 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(< -1 n)"
|
|
|
|
(pass-if "n = 0"
|
|
(< -1 0))
|
|
|
|
(pass-if "n = 0.0"
|
|
(< -1 0.0))
|
|
|
|
(pass-if "n = 1"
|
|
(< -1 1))
|
|
|
|
(pass-if "n = 1.0"
|
|
(< -1 1.0))
|
|
|
|
(pass-if "n = -1"
|
|
(not (< -1 -1)))
|
|
|
|
(pass-if "n = -1.0"
|
|
(not (< -1 -1.0)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(< -1 fixnum-max))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< -1 (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< -1 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< -1 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(< -1.0 n)"
|
|
|
|
(pass-if "n = 0"
|
|
(< -1.0 0))
|
|
|
|
(pass-if "n = 0.0"
|
|
(< -1.0 0.0))
|
|
|
|
(pass-if "n = 1"
|
|
(< -1.0 1))
|
|
|
|
(pass-if "n = 1.0"
|
|
(< -1.0 1.0))
|
|
|
|
(pass-if "n = -1"
|
|
(not (< -1.0 -1)))
|
|
|
|
(pass-if "n = -1.0"
|
|
(not (< -1.0 -1.0)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(< -1.0 fixnum-max))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< -1.0 (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< -1.0 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< -1.0 (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(< fixnum-max n)"
|
|
|
|
(pass-if "n = 0"
|
|
(not (< fixnum-max 0)))
|
|
|
|
(pass-if "n = 0.0"
|
|
(not (< fixnum-max 0.0)))
|
|
|
|
(pass-if "n = 1"
|
|
(not (< fixnum-max 1)))
|
|
|
|
(pass-if "n = 1.0"
|
|
(not (< fixnum-max 1.0)))
|
|
|
|
(pass-if "n = -1"
|
|
(not (< fixnum-max -1)))
|
|
|
|
(pass-if "n = -1.0"
|
|
(not (< fixnum-max -1.0)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(not (< fixnum-max fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< fixnum-max (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< fixnum-max fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< fixnum-max (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(< (+ fixnum-max 1) n)"
|
|
|
|
(pass-if "n = 0"
|
|
(not (< (+ fixnum-max 1) 0)))
|
|
|
|
(pass-if "n = 0.0"
|
|
(not (< (+ fixnum-max 1) 0.0)))
|
|
|
|
(pass-if "n = 1"
|
|
(not (< (+ fixnum-max 1) 1)))
|
|
|
|
(pass-if "n = 1.0"
|
|
(not (< (+ fixnum-max 1) 1.0)))
|
|
|
|
(pass-if "n = -1"
|
|
(not (< (+ fixnum-max 1) -1)))
|
|
|
|
(pass-if "n = -1.0"
|
|
(not (< (+ fixnum-max 1) -1.0)))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(not (< (+ fixnum-max 1) fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(not (< (+ fixnum-max 1) (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< (+ fixnum-max 1) fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< (+ fixnum-max 1) (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(< fixnum-min n)"
|
|
|
|
(pass-if "n = 0"
|
|
(< fixnum-min 0))
|
|
|
|
(pass-if "n = 0.0"
|
|
(< fixnum-min 0.0))
|
|
|
|
(pass-if "n = 1"
|
|
(< fixnum-min 1))
|
|
|
|
(pass-if "n = 1.0"
|
|
(< fixnum-min 1.0))
|
|
|
|
(pass-if "n = -1"
|
|
(< fixnum-min -1))
|
|
|
|
(pass-if "n = -1.0"
|
|
(< fixnum-min -1.0))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(< fixnum-min fixnum-max))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< fixnum-min (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(not (< fixnum-min fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< fixnum-min (- fixnum-min 1)))))
|
|
|
|
(with-test-prefix "(< (- fixnum-min 1) n)"
|
|
|
|
(pass-if "n = 0"
|
|
(< (- fixnum-min 1) 0))
|
|
|
|
(pass-if "n = 0.0"
|
|
(< (- fixnum-min 1) 0.0))
|
|
|
|
(pass-if "n = 1"
|
|
(< (- fixnum-min 1) 1))
|
|
|
|
(pass-if "n = 1.0"
|
|
(< (- fixnum-min 1) 1.0))
|
|
|
|
(pass-if "n = -1"
|
|
(< (- fixnum-min 1) -1))
|
|
|
|
(pass-if "n = -1.0"
|
|
(< (- fixnum-min 1) -1.0))
|
|
|
|
(pass-if "n = fixnum-max"
|
|
(< (- fixnum-min 1) fixnum-max))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(< (- fixnum-min 1) (+ fixnum-max 1)))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(< (- fixnum-min 1) fixnum-min))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(not (< (- fixnum-min 1) (- fixnum-min 1))))))
|
|
|
|
;;;
|
|
;;; >
|
|
;;;
|
|
|
|
;;;
|
|
;;; <=
|
|
;;;
|
|
|
|
;;;
|
|
;;; >=
|
|
;;;
|
|
|
|
;;;
|
|
;;; zero?
|
|
;;;
|
|
|
|
;;;
|
|
;;; positive?
|
|
;;;
|
|
|
|
;;;
|
|
;;; negative?
|
|
;;;
|
|
|
|
;;;
|
|
;;; max
|
|
;;;
|
|
|
|
;;;
|
|
;;; min
|
|
;;;
|
|
|
|
;;;
|
|
;;; +
|
|
;;;
|
|
|
|
(with-test-prefix "+"
|
|
|
|
(expect-fail "documented?"
|
|
(documented? +))
|
|
|
|
(with-test-prefix "wrong type argument"
|
|
|
|
(pass-if-exception "1st argument string"
|
|
exception:wrong-type-arg
|
|
(+ "1" 2))
|
|
|
|
(pass-if-exception "2nd argument bool"
|
|
exception:wrong-type-arg
|
|
(+ 1 #f))))
|
|
;;;
|
|
;;; -
|
|
;;;
|
|
|
|
;;;
|
|
;;; *
|
|
;;;
|
|
|
|
;;;
|
|
;;; /
|
|
;;;
|
|
|
|
(with-test-prefix "/"
|
|
|
|
(with-test-prefix "1/complex"
|
|
|
|
(pass-if "0+1i"
|
|
(eqv? 0-1i (/ 0+1i)))
|
|
|
|
;; in guile 1.6 through 1.6.7 this incorrectly resulted in nans
|
|
(pass-if "0-1i"
|
|
(eqv? 0+1i (/ 0-1i)))
|
|
|
|
(pass-if "1+1i"
|
|
(eqv? 0.5-0.5i (/ 1+1i)))
|
|
|
|
(pass-if "1-1i"
|
|
(eqv? 0.5+0.5i (/ 1-1i)))
|
|
|
|
(pass-if "-1+1i"
|
|
(eqv? -0.5-0.5i (/ -1+1i)))
|
|
|
|
(pass-if "-1-1i"
|
|
(eqv? -0.5+0.5i (/ -1-1i)))
|
|
|
|
(pass-if "(/ 3+4i)"
|
|
(= (/ 3+4i) 0.12-0.16i))
|
|
|
|
(pass-if "(/ 4+3i)"
|
|
(= (/ 4+3i) 0.16-0.12i)))
|
|
|
|
(with-test-prefix "inum/complex"
|
|
|
|
(pass-if "(/ 25 3+4i)"
|
|
(= (/ 25 3+4i) 3.0-4.0i))
|
|
|
|
(pass-if "(/ 25 4+3i)"
|
|
(= (/ 25 4+3i) 4.0-3.0i)))
|
|
|
|
(with-test-prefix "complex/complex"
|
|
|
|
(pass-if "(/ 25+125i 3+4i)"
|
|
(= (/ 25+125i 3+4i) 23.0+11.0i))
|
|
|
|
(pass-if "(/ 25+125i 4+3i)"
|
|
(= (/ 25+125i 4+3i) 19.0+17.0i))))
|
|
|
|
;;;
|
|
;;; truncate
|
|
;;;
|
|
|
|
(with-test-prefix "truncate"
|
|
(with-test-prefix "inum"
|
|
(pass-if "0"
|
|
(and (= 0 (truncate 0))
|
|
(exact? (truncate 0))))
|
|
|
|
(pass-if "1"
|
|
(and (= 1 (truncate 1))
|
|
(exact? (truncate 1))))
|
|
|
|
(pass-if "-1"
|
|
(and (= -1 (truncate -1))
|
|
(exact? (truncate -1)))))
|
|
|
|
(with-test-prefix "bignum"
|
|
(let ((x (1+ most-positive-fixnum)))
|
|
(pass-if "(1+ most-positive-fixnum)"
|
|
(and (= x (truncate x))
|
|
(exact? (truncate x)))))
|
|
|
|
(let ((x (1- most-negative-fixnum)))
|
|
(pass-if "(1- most-negative-fixnum)"
|
|
(and (= x (truncate x))
|
|
(exact? (truncate x))))))
|
|
|
|
(with-test-prefix "real"
|
|
(pass-if "0.0"
|
|
(and (= 0.0 (truncate 0.0))
|
|
(inexact? (truncate 0.0))))
|
|
|
|
(pass-if "1.0"
|
|
(and (= 1.0 (truncate 1.0))
|
|
(inexact? (truncate 1.0))))
|
|
|
|
(pass-if "-1.0"
|
|
(and (= -1.0 (truncate -1.0))
|
|
(inexact? (truncate -1.0))))
|
|
|
|
(pass-if "3.9"
|
|
(and (= 3.0 (truncate 3.9))
|
|
(inexact? (truncate 3.9))))
|
|
|
|
(pass-if "-3.9"
|
|
(and (= -3.0 (truncate -3.9))
|
|
(inexact? (truncate -3.9))))))
|
|
|
|
;;;
|
|
;;; round
|
|
;;;
|
|
|
|
(with-test-prefix "round"
|
|
(with-test-prefix "inum"
|
|
(pass-if "0"
|
|
(and (= 0 (round 0))
|
|
(exact? (round 0))))
|
|
|
|
(pass-if "1"
|
|
(and (= 1 (round 1))
|
|
(exact? (round 1))))
|
|
|
|
(pass-if "-1"
|
|
(and (= -1 (round -1))
|
|
(exact? (round -1)))))
|
|
|
|
(with-test-prefix "bignum"
|
|
(let ((x (1+ most-positive-fixnum)))
|
|
(pass-if "(1+ most-positive-fixnum)"
|
|
(and (= x (round x))
|
|
(exact? (round x)))))
|
|
|
|
(let ((x (1- most-negative-fixnum)))
|
|
(pass-if "(1- most-negative-fixnum)"
|
|
(and (= x (round x))
|
|
(exact? (round x))))))
|
|
|
|
(with-test-prefix "real"
|
|
(pass-if "0.0"
|
|
(and (= 0.0 (round 0.0))
|
|
(inexact? (round 0.0))))
|
|
|
|
(pass-if "1.0"
|
|
(and (= 1.0 (round 1.0))
|
|
(inexact? (round 1.0))))
|
|
|
|
(pass-if "-1.0"
|
|
(and (= -1.0 (round -1.0))
|
|
(inexact? (round -1.0))))
|
|
|
|
(pass-if "-3.1"
|
|
(and (= -3.0 (round -3.1))
|
|
(inexact? (round -3.1))))
|
|
|
|
(pass-if "3.1"
|
|
(and (= 3.0 (round 3.1))
|
|
(inexact? (round 3.1))))
|
|
|
|
(pass-if "3.9"
|
|
(and (= 4.0 (round 3.9))
|
|
(inexact? (round 3.9))))
|
|
|
|
(pass-if "-3.9"
|
|
(and (= -4.0 (round -3.9))
|
|
(inexact? (round -3.9))))
|
|
|
|
(pass-if "1.5"
|
|
(and (= 2.0 (round 1.5))
|
|
(inexact? (round 1.5))))
|
|
|
|
(pass-if "2.5"
|
|
(and (= 2.0 (round 2.5))
|
|
(inexact? (round 2.5))))
|
|
|
|
(pass-if "3.5"
|
|
(and (= 4.0 (round 3.5))
|
|
(inexact? (round 3.5))))
|
|
|
|
(pass-if "-1.5"
|
|
(and (= -2.0 (round -1.5))
|
|
(inexact? (round -1.5))))
|
|
|
|
(pass-if "-2.5"
|
|
(and (= -2.0 (round -2.5))
|
|
(inexact? (round -2.5))))
|
|
|
|
(pass-if "-3.5"
|
|
(and (= -4.0 (round -3.5))
|
|
(inexact? (round -3.5))))
|
|
|
|
;; prior to guile 1.6.5, on an IEEE system an inexact 2^53-1 (ie. a
|
|
;; float with mantissa all ones) came out as 2^53 from `round' (except
|
|
;; on i386 and m68k systems using the coprocessor and optimizing, where
|
|
;; extra precision hid the problem)
|
|
(pass-if "2^53-1"
|
|
(let ((x (exact->inexact (1- (ash 1 53)))))
|
|
(and (= x (round x))
|
|
(inexact? (round x)))))
|
|
(pass-if "-(2^53-1)"
|
|
(let ((x (exact->inexact (- (1- (ash 1 53))))))
|
|
(and (= x (round x))
|
|
(inexact? (round x)))))))
|
|
|
|
;;;
|
|
;;; exact->inexact
|
|
;;;
|
|
|
|
;;;
|
|
;;; floor
|
|
;;;
|
|
|
|
(with-test-prefix "floor"
|
|
(with-test-prefix "inum"
|
|
(pass-if "0"
|
|
(and (= 0 (floor 0))
|
|
(exact? (floor 0))))
|
|
|
|
(pass-if "1"
|
|
(and (= 1 (floor 1))
|
|
(exact? (floor 1))))
|
|
|
|
(pass-if "-1"
|
|
(and (= -1 (floor -1))
|
|
(exact? (floor -1)))))
|
|
|
|
(with-test-prefix "bignum"
|
|
(let ((x (1+ most-positive-fixnum)))
|
|
(pass-if "(1+ most-positive-fixnum)"
|
|
(and (= x (floor x))
|
|
(exact? (floor x)))))
|
|
|
|
(let ((x (1- most-negative-fixnum)))
|
|
(pass-if "(1- most-negative-fixnum)"
|
|
(and (= x (floor x))
|
|
(exact? (floor x))))))
|
|
|
|
(with-test-prefix "real"
|
|
(pass-if "0.0"
|
|
(and (= 0.0 (floor 0.0))
|
|
(inexact? (floor 0.0))))
|
|
|
|
(pass-if "1.0"
|
|
(and (= 1.0 (floor 1.0))
|
|
(inexact? (floor 1.0))))
|
|
|
|
(pass-if "-1.0"
|
|
(and (= -1.0 (floor -1.0))
|
|
(inexact? (floor -1.0))))
|
|
|
|
(pass-if "3.9"
|
|
(and (= 3.0 (floor 3.9))
|
|
(inexact? (floor 3.9))))
|
|
|
|
(pass-if "-3.9"
|
|
(and (= -4.0 (floor -3.9))
|
|
(inexact? (floor -3.9))))))
|
|
|
|
;;;
|
|
;;; ceiling
|
|
;;;
|
|
|
|
(with-test-prefix "ceiling"
|
|
(with-test-prefix "inum"
|
|
(pass-if "0"
|
|
(and (= 0 (ceiling 0))
|
|
(exact? (ceiling 0))))
|
|
|
|
(pass-if "1"
|
|
(and (= 1 (ceiling 1))
|
|
(exact? (ceiling 1))))
|
|
|
|
(pass-if "-1"
|
|
(and (= -1 (ceiling -1))
|
|
(exact? (ceiling -1)))))
|
|
|
|
(with-test-prefix "bignum"
|
|
(let ((x (1+ most-positive-fixnum)))
|
|
(pass-if "(1+ most-positive-fixnum)"
|
|
(and (= x (ceiling x))
|
|
(exact? (ceiling x)))))
|
|
|
|
(let ((x (1- most-negative-fixnum)))
|
|
(pass-if "(1- most-negative-fixnum)"
|
|
(and (= x (ceiling x))
|
|
(exact? (ceiling x))))))
|
|
|
|
(with-test-prefix "real"
|
|
(pass-if "0.0"
|
|
(and (= 0.0 (ceiling 0.0))
|
|
(inexact? (ceiling 0.0))))
|
|
|
|
(pass-if "1.0"
|
|
(and (= 1.0 (ceiling 1.0))
|
|
(inexact? (ceiling 1.0))))
|
|
|
|
(pass-if "-1.0"
|
|
(and (= -1.0 (ceiling -1.0))
|
|
(inexact? (ceiling -1.0))))
|
|
|
|
(pass-if "3.9"
|
|
(and (= 4.0 (ceiling 3.9))
|
|
(inexact? (ceiling 3.9))))
|
|
|
|
(pass-if "-3.9"
|
|
(and (= -3.0 (ceiling -3.9))
|
|
(inexact? (ceiling -3.9))))))
|
|
|
|
;;;
|
|
;;; sqrt
|
|
;;;
|
|
|
|
;;;
|
|
;;; expt
|
|
;;;
|
|
|
|
(with-test-prefix "expt"
|
|
(pass-if "(= 1 (expt 0 0))" (= 1 (expt 0 0)))
|
|
(pass-if "(= 1 (expt 0 0.0))" (= 1 (expt 0 0.0)))
|
|
(pass-if "(= 1 (expt 0.0 0))" (= 1 (expt 0.0 0)))
|
|
(pass-if "(= 1 (expt 0.0 0.0))" (= 1 (expt 0.0 0.0))))
|
|
|
|
;;;
|
|
;;; make-rectangular
|
|
;;;
|
|
|
|
;;;
|
|
;;; make-polar
|
|
;;;
|
|
|
|
;;;
|
|
;;; real-part
|
|
;;;
|
|
|
|
;;;
|
|
;;; imag-part
|
|
;;;
|
|
|
|
;;;
|
|
;;; magnitude
|
|
;;;
|
|
|
|
;;;
|
|
;;; angle
|
|
;;;
|
|
|
|
;;;
|
|
;;; inexact->exact
|
|
;;;
|
|
|
|
;;;
|
|
;;; logbit?
|
|
;;;
|
|
|
|
(with-test-prefix "logbit?"
|
|
(pass-if "0 0" (eq? #f (logbit? 0 0)))
|
|
(pass-if "1 0" (eq? #f (logbit? 1 0)))
|
|
(pass-if "31 0" (eq? #f (logbit? 31 0)))
|
|
(pass-if "32 0" (eq? #f (logbit? 32 0)))
|
|
(pass-if "33 0" (eq? #f (logbit? 33 0)))
|
|
(pass-if "63 0" (eq? #f (logbit? 63 0)))
|
|
(pass-if "64 0" (eq? #f (logbit? 64 0)))
|
|
(pass-if "65 0" (eq? #f (logbit? 65 0)))
|
|
|
|
;; prior to guile 1.6.5, testing bit 32, 64 etc of value 1 would wrap
|
|
;; around and return #t where it ought to be #f
|
|
(pass-if "0 1" (eq? #t (logbit? 0 1)))
|
|
(pass-if "1 1" (eq? #f (logbit? 1 1)))
|
|
(pass-if "31 1" (eq? #f (logbit? 31 1)))
|
|
(pass-if "32 1" (eq? #f (logbit? 32 1)))
|
|
(pass-if "33 1" (eq? #f (logbit? 33 1)))
|
|
(pass-if "63 1" (eq? #f (logbit? 63 1)))
|
|
(pass-if "64 1" (eq? #f (logbit? 64 1)))
|
|
(pass-if "65 1" (eq? #f (logbit? 65 1)))
|
|
(pass-if "128 1" (eq? #f (logbit? 128 1)))
|
|
|
|
(pass-if "0 -1" (eq? #t (logbit? 0 -1)))
|
|
(pass-if "1 -1" (eq? #t (logbit? 1 -1)))
|
|
(pass-if "31 -1" (eq? #t (logbit? 31 -1)))
|
|
(pass-if "32 -1" (eq? #t (logbit? 32 -1)))
|
|
(pass-if "33 -1" (eq? #t (logbit? 33 -1)))
|
|
(pass-if "63 -1" (eq? #t (logbit? 63 -1)))
|
|
(pass-if "64 -1" (eq? #t (logbit? 64 -1)))
|
|
(pass-if "65 -1" (eq? #t (logbit? 65 -1))))
|