mirror of
https://git.savannah.gnu.org/git/guile.git
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1472 lines
32 KiB
Scheme
1472 lines
32 KiB
Scheme
;;;; numbers.test --- tests guile's numbers -*- scheme -*-
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;;;; Copyright (C) 2000, 2001 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., 59 Temple Place, Suite 330,
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;;;; Boston, MA 02111-1307 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 exception:numerical-overflow
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(cons 'numerical-overflow "^Numerical overflow"))
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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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(with-test-prefix "division by zero"
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(pass-if-exception "(quotient 1 0)"
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exception:numerical-overflow
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(quotient 1 0))
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(pass-if-exception "(quotient bignum 0)"
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exception:numerical-overflow
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(quotient (+ fixnum-max 1) 0)))
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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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(with-test-prefix "division by zero"
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(pass-if-exception "(remainder 1 0)"
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exception:numerical-overflow
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(remainder 1 0))
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(pass-if-exception "(remainder bignum 0)"
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exception:numerical-overflow
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(remainder (+ fixnum-max 1) 0)))
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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"
|
|
(eqv? 0 (modulo 0 (+ fixnum-max 1))))
|
|
|
|
(pass-if "n = fixnum-min"
|
|
(eqv? 0 (modulo 0 fixnum-min)))
|
|
|
|
(pass-if "n = fixnum-min - 1"
|
|
(eqv? 0 (modulo 0 (- 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? 1 (modulo 1 fixnum-max)))
|
|
|
|
(pass-if "n = fixnum-max + 1"
|
|
(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?
|
|
|
|
(with-test-prefix "division by zero"
|
|
|
|
(pass-if-exception "(modulo 1 0)"
|
|
exception:numerical-overflow
|
|
(modulo 1 0))
|
|
|
|
(pass-if-exception "(modulo bignum 0)"
|
|
exception:numerical-overflow
|
|
(modulo (+ fixnum-max 1) 0)))
|
|
|
|
;; Are wrong type arguments detected correctly?
|
|
|
|
)
|
|
|
|
;;;
|
|
;;; 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 "string->number"
|
|
(documented? string->number))
|
|
|
|
(pass-if "non number strings"
|
|
(for-each (lambda (x) (if (string->number x) (throw 'fail)))
|
|
'("" "q" "1q" "6+7iq" "8+9q" "10+11" "13+" "18@19q" "20@q" "23@"
|
|
"+25iq" "26i" "-q" "-iq" "i" "5#.0" "8/" "10#11" ".#" "."
|
|
"#o.2" "3.4q" "15.16e17q" "18.19e+q" ".q" ".17#18" "10q" "#b2"
|
|
"#b3" "#b4" "#b5" "#b6" "#b7" "#b8" "#b9" "#ba" "#bb" "#bc"
|
|
"#bd" "#be" "#bf" "#q" "#b#b1" "#o#o1" "#d#d1" "#x#x1" "#e#e1"
|
|
"#i#i1" "12@12+0i"))
|
|
#t)
|
|
|
|
(pass-if "valid number strings"
|
|
(for-each (lambda (couple)
|
|
(apply
|
|
(lambda (x y)
|
|
(let ((x (string->number x)))
|
|
(if (or (eq? x #f) (not (eqv? x y))) (throw 'fail))))
|
|
couple))
|
|
`(;; Radix:
|
|
("#b0" 0) ("#B0" 0) ("#b1" 1) ("#B1" 1) ("#o0" 0) ("#O0" 0)
|
|
("#o1" 1) ("#O1" 1) ("#o2" 2) ("#O2" 2) ("#o3" 3) ("#O3" 3)
|
|
("#o4" 4) ("#O4" 4) ("#o5" 5) ("#O5" 5) ("#o6" 6) ("#O6" 6)
|
|
("#o7" 7) ("#O7" 7) ("#d0" 0) ("#D0" 0) ("#d1" 1) ("#D1" 1)
|
|
("#d2" 2) ("#D2" 2) ("#d3" 3) ("#D3" 3) ("#d4" 4) ("#D4" 4)
|
|
("#d5" 5) ("#D5" 5) ("#d6" 6) ("#D6" 6) ("#d7" 7) ("#D7" 7)
|
|
("#d8" 8) ("#D8" 8) ("#d9" 9) ("#D9" 9)
|
|
("#xa" 10) ("#Xa" 10) ("#xb" 11) ("#Xb" 11)
|
|
("#xc" 12) ("#Xc" 12) ("#xd" 13) ("#Xd" 13)
|
|
("#xe" 14) ("#Xe" 14) ("#xf" 15) ("#Xf" 15)
|
|
("#b1010" 10)
|
|
("#o12345670" 2739128)
|
|
("#d1234567890" 1234567890)
|
|
("#x1234567890abcdef" 1311768467294899695)
|
|
;; Exactness:
|
|
("#e1" 1) ("#e1.2" 1) ("#i1.1" 1.1) ("#i1" 1.0)
|
|
;; Integers:
|
|
("1" ,(1+ 0)) ("23" ,(+ 9 9 5)) ("-1" ,(- 0 1))
|
|
("-45" ,(- 0 45)) ("2#" 20.0) ("2##" 200.0) ("12##" 1200.0)
|
|
("#b#i100" 4.0)
|
|
;; Rationals:
|
|
("1/1" 1) ("1/2" 0.5) ("-1/2" -0.5) ("1#/1" 10.0)
|
|
("10/1#" 1.0) ("1#/1#" 1.0) ("#e9/10" 1) ("#e10/1#" 1)
|
|
("#i6/8" 0.75) ("#i1/1" 1.0)
|
|
;; Decimal numbers:
|
|
;; * <uinteger 10> <suffix>
|
|
("1e2" 100.0) ("1E2" 100.0) ("1s2" 100.0) ("1S2" 100.0)
|
|
("1f2" 100.0) ("1F2" 100.0) ("1d2" 100.0) ("1D2" 100.0)
|
|
("1l2" 100.0) ("1L2" 100.0) ("1e+2" 100.0) ("1e-2" 0.01)
|
|
;; * . <digit 10>+ #* <suffix>
|
|
(".1" .1) (".0123456789" 123456789e-10) (".16#" 0.16)
|
|
(".0123456789e10" 123456789.0) (".16#e3" 160.0) ("#d.3" 0.3)
|
|
;; * <digit 10>+ . <digit 10>* #* <suffix>
|
|
("3." ,(exact->inexact 3)) ("3.e0" ,(exact->inexact 3))
|
|
("3.1" ,(exact->inexact 31/10)) ("3.1e0" 3.1) ("3.1#" 3.1)
|
|
("3.1#e0" 3.1)
|
|
;; * <digit 10>+ #+ . #* <suffix>
|
|
("3#." 30.0) ("3#.e0" 30.0) ("3#.#" 30.0) ("3#.#e0" 30.0)
|
|
;; Complex:
|
|
("1@0" 1.0) ("1@+0" 1.0) ("1@-0" 1.0)
|
|
("2+3i" ,(+ 2 (* 3 +i))) ("4-5i" ,(- 4 (* 5 +i)))
|
|
("1+i" 1+1i) ("1-i" 1-1i) ("+1i" 0+1i) ("-1i" 0-1i)
|
|
("+i" +1i) ("-i" -1i)))
|
|
#t)
|
|
|
|
(pass-if-exception "exponent too big"
|
|
exception:out-of-range
|
|
(string->number "12.13e141414")))
|
|
|
|
;;;
|
|
;;; 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 "/"
|
|
|
|
(expect-fail "documented?"
|
|
(documented? /))
|
|
|
|
(with-test-prefix "division by zero"
|
|
|
|
(pass-if-exception "(/ 0)"
|
|
exception:numerical-overflow
|
|
(/ 0))
|
|
|
|
(pass-if-exception "(/ 0.0)"
|
|
exception:numerical-overflow
|
|
(/ 0.0))
|
|
|
|
(pass-if-exception "(/ 1 0)"
|
|
exception:numerical-overflow
|
|
(/ 1 0))
|
|
|
|
(pass-if-exception "(/ 1 0.0)"
|
|
exception:numerical-overflow
|
|
(/ 1 0.0))
|
|
|
|
(pass-if-exception "(/ bignum 0)"
|
|
exception:numerical-overflow
|
|
(/ (+ fixnum-max 1) 0))
|
|
|
|
(pass-if-exception "(/ bignum 0.0)"
|
|
exception:numerical-overflow
|
|
(/ (+ fixnum-max 1) 0.0))
|
|
|
|
(pass-if-exception "(/ 1.0 0)"
|
|
exception:numerical-overflow
|
|
(/ 1.0 0))
|
|
|
|
(pass-if-exception "(/ 1.0 0.0)"
|
|
exception:numerical-overflow
|
|
(/ 1.0 0.0))
|
|
|
|
(pass-if-exception "(/ +i 0)"
|
|
exception:numerical-overflow
|
|
(/ +i 0))
|
|
|
|
(pass-if-exception "(/ +i 0.0)"
|
|
exception:numerical-overflow
|
|
(/ +i 0.0))))
|
|
|
|
;;;
|
|
;;; truncate
|
|
;;;
|
|
|
|
;;;
|
|
;;; round
|
|
;;;
|
|
|
|
;;;
|
|
;;; exact->inexact
|
|
;;;
|
|
|
|
;;;
|
|
;;; floor
|
|
;;;
|
|
|
|
;;;
|
|
;;; ceiling
|
|
;;;
|
|
|
|
;;;
|
|
;;; make-rectangular
|
|
;;;
|
|
|
|
;;;
|
|
;;; make-polar
|
|
;;;
|
|
|
|
;;;
|
|
;;; real-part
|
|
;;;
|
|
|
|
;;;
|
|
;;; imag-part
|
|
;;;
|
|
|
|
;;;
|
|
;;; magnitude
|
|
;;;
|
|
|
|
;;;
|
|
;;; angle
|
|
;;;
|
|
|
|
;;;
|
|
;;; inexact->exact
|
|
;;;
|