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Diffstat (limited to 'test-suite/tests/numbers.test')
-rw-r--r-- | test-suite/tests/numbers.test | 1490 |
1 files changed, 0 insertions, 1490 deletions
diff --git a/test-suite/tests/numbers.test b/test-suite/tests/numbers.test deleted file mode 100644 index 951325f71..000000000 --- a/test-suite/tests/numbers.test +++ /dev/null @@ -1,1490 +0,0 @@ -;;;; numbers.test --- tests guile's numbers -*- scheme -*- -;;;; Copyright (C) 2000, 2001 Free Software Foundation, Inc. -;;;; -;;;; This program is free software; you can redistribute it and/or modify -;;;; it under the terms of the GNU General Public License as published by -;;;; the Free Software Foundation; either version 2, or (at your option) -;;;; any later version. -;;;; -;;;; This program is distributed in the hope that it will be useful, -;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of -;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -;;;; GNU General Public License for more details. -;;;; -;;;; You should have received a copy of the GNU General Public License -;;;; along with this software; see the file COPYING. If not, write to -;;;; the Free Software Foundation, Inc., 59 Temple Place, Suite 330, -;;;; Boston, MA 02111-1307 USA -;;;; -;;;; As a special exception, the Free Software Foundation gives permission -;;;; for additional uses of the text contained in its release of GUILE. -;;;; -;;;; The exception is that, if you link the GUILE library with other files -;;;; to produce an executable, this does not by itself cause the -;;;; resulting executable to be covered by the GNU General Public License. -;;;; Your use of that executable is in no way restricted on account of -;;;; linking the GUILE library code into it. -;;;; -;;;; This exception does not however invalidate any other reasons why -;;;; the executable file might be covered by the GNU General Public License. -;;;; -;;;; This exception applies only to the code released by the -;;;; Free Software Foundation under the name GUILE. If you copy -;;;; code from other Free Software Foundation releases into a copy of -;;;; GUILE, as the General Public License permits, the exception does -;;;; not apply to the code that you add in this way. To avoid misleading -;;;; anyone as to the status of such modified files, you must delete -;;;; this exception notice from them. -;;;; -;;;; If you write modifications of your own for GUILE, it is your choice -;;;; whether to permit this exception to apply to your modifications. -;;;; If you do not wish that, delete this exception notice. - -(use-modules (ice-9 documentation)) - - -;;; -;;; miscellaneous -;;; - -(define exception:numerical-overflow - (cons 'numerical-overflow "^Numerical overflow")) - -(define (documented? object) - (not (not (object-documentation object)))) - -(define fixnum-bit - (inexact->exact (+ (/ (log (+ most-positive-fixnum 1)) (log 2)) 1))) - -(define fixnum-min most-negative-fixnum) -(define fixnum-max most-positive-fixnum) - - -;;; -;;; exact? -;;; - -(with-test-prefix "exact?" - - (pass-if "documented?" - (documented? exact?)) - - (with-test-prefix "integers" - - (pass-if "0" - (exact? 0)) - - (pass-if "fixnum-max" - (exact? fixnum-max)) - - (pass-if "fixnum-max + 1" - (exact? (+ fixnum-max 1))) - - (pass-if "fixnum-min" - (exact? fixnum-min)) - - (pass-if "fixnum-min - 1" - (exact? (- fixnum-min 1)))) - - (with-test-prefix "reals" - - ;; (FIXME: need better examples.) - - (pass-if "sqrt (fixnum-max^2 - 1)" - (eq? #f (exact? (sqrt (- (expt fixnum-max 2) 1))))) - - (pass-if "sqrt ((fixnum-max+1)^2 - 1)" - (eq? #f (exact? (sqrt (- (expt (+ fixnum-max 1) 2) 1))))))) - -;;; -;;; odd? -;;; - - -;;; -;;; even? -;;; - - -;;; -;;; abs -;;; - - -;;; -;;; quotient -;;; - -(with-test-prefix "quotient" - - (expect-fail "documented?" - (documented? quotient)) - - (with-test-prefix "0 / n" - - (pass-if "n = 1" - (eqv? 0 (quotient 0 1))) - - (pass-if "n = -1" - (eqv? 0 (quotient 0 -1))) - - (pass-if "n = 2" - (eqv? 0 (quotient 0 2))) - - (pass-if "n = fixnum-max" - (eqv? 0 (quotient 0 fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 0 (quotient 0 (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 0 (quotient 0 fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 0 (quotient 0 (- fixnum-min 1))))) - - (with-test-prefix "1 / n" - - (pass-if "n = 1" - (eqv? 1 (quotient 1 1))) - - (pass-if "n = -1" - (eqv? -1 (quotient 1 -1))) - - (pass-if "n = 2" - (eqv? 0 (quotient 1 2))) - - (pass-if "n = fixnum-max" - (eqv? 0 (quotient 1 fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 0 (quotient 1 (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 0 (quotient 1 fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 0 (quotient 1 (- fixnum-min 1))))) - - (with-test-prefix "-1 / n" - - (pass-if "n = 1" - (eqv? -1 (quotient -1 1))) - - (pass-if "n = -1" - (eqv? 1 (quotient -1 -1))) - - (pass-if "n = 2" - (eqv? 0 (quotient -1 2))) - - (pass-if "n = fixnum-max" - (eqv? 0 (quotient -1 fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 0 (quotient -1 (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 0 (quotient -1 fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 0 (quotient -1 (- fixnum-min 1))))) - - (with-test-prefix "fixnum-max / n" - - (pass-if "n = 1" - (eqv? fixnum-max (quotient fixnum-max 1))) - - (pass-if "n = -1" - (eqv? (- fixnum-max) (quotient fixnum-max -1))) - - (pass-if "n = 2" - (eqv? fixnum-max (+ (* (quotient fixnum-max 2) 2) 1))) - - (pass-if "n = fixnum-max" - (eqv? 1 (quotient fixnum-max fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 0 (quotient fixnum-max (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 0 (quotient fixnum-max fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 0 (quotient fixnum-max (- fixnum-min 1))))) - - (with-test-prefix "(fixnum-max + 1) / n" - - (pass-if "n = 1" - (eqv? (+ fixnum-max 1) (quotient (+ fixnum-max 1) 1))) - - (pass-if "n = -1" - (eqv? (- (+ fixnum-max 1)) (quotient (+ fixnum-max 1) -1))) - - (pass-if "n = 2" - (eqv? (+ fixnum-max 1) (* (quotient (+ fixnum-max 1) 2) 2))) - - (pass-if "n = fixnum-max" - (eqv? 1 (quotient (+ fixnum-max 1) fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 1 (quotient (+ fixnum-max 1) (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? -1 (quotient (+ fixnum-max 1) fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 0 (quotient (+ fixnum-max 1) (- fixnum-min 1))))) - - (with-test-prefix "fixnum-min / n" - - (pass-if "n = 1" - (eqv? fixnum-min (quotient fixnum-min 1))) - - (pass-if "n = -1" - (eqv? (- fixnum-min) (quotient fixnum-min -1))) - - (pass-if "n = 2" - (eqv? fixnum-min (* (quotient fixnum-min 2) 2))) - - (pass-if "n = fixnum-max" - (eqv? -1 (quotient fixnum-min fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? -1 (quotient fixnum-min (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 1 (quotient fixnum-min fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 0 (quotient fixnum-min (- fixnum-min 1))))) - - (with-test-prefix "(fixnum-min - 1) / n" - - (pass-if "n = 1" - (eqv? (- fixnum-min 1) (quotient (- fixnum-min 1) 1))) - - (pass-if "n = -1" - (eqv? (- (- fixnum-min 1)) (quotient (- fixnum-min 1) -1))) - - (pass-if "n = 2" - (eqv? fixnum-min (* (quotient (- fixnum-min 1) 2) 2))) - - (pass-if "n = fixnum-max" - (eqv? -1 (quotient (- fixnum-min 1) fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? -1 (quotient (- fixnum-min 1) (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 1 (quotient (- fixnum-min 1) fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 1 (quotient (- fixnum-min 1) (- fixnum-min 1))))) - - ;; Positive dividend and divisor - - (pass-if "35 / 7" - (eqv? 5 (quotient 35 7))) - - ;; Negative dividend, positive divisor - - (pass-if "-35 / 7" - (eqv? -5 (quotient -35 7))) - - ;; Positive dividend, negative divisor - - (pass-if "35 / -7" - (eqv? -5 (quotient 35 -7))) - - ;; Negative dividend and divisor - - (pass-if "-35 / -7" - (eqv? 5 (quotient -35 -7))) - - ;; Are numerical overflows detected correctly? - - (with-test-prefix "division by zero" - - (pass-if-exception "(quotient 1 0)" - exception:numerical-overflow - (quotient 1 0)) - - (pass-if-exception "(quotient bignum 0)" - exception:numerical-overflow - (quotient (+ fixnum-max 1) 0))) - - ;; Are wrong type arguments detected correctly? - - ) - -;;; -;;; remainder -;;; - -(with-test-prefix "remainder" - - (expect-fail "documented?" - (documented? remainder)) - - (with-test-prefix "0 / n" - - (pass-if "n = 1" - (eqv? 0 (remainder 0 1))) - - (pass-if "n = -1" - (eqv? 0 (remainder 0 -1))) - - (pass-if "n = fixnum-max" - (eqv? 0 (remainder 0 fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 0 (remainder 0 (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 0 (remainder 0 fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 0 (remainder 0 (- fixnum-min 1))))) - - (with-test-prefix "1 / n" - - (pass-if "n = 1" - (eqv? 0 (remainder 1 1))) - - (pass-if "n = -1" - (eqv? 0 (remainder 1 -1))) - - (pass-if "n = fixnum-max" - (eqv? 1 (remainder 1 fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 1 (remainder 1 (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 1 (remainder 1 fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 1 (remainder 1 (- fixnum-min 1))))) - - (with-test-prefix "-1 / n" - - (pass-if "n = 1" - (eqv? 0 (remainder -1 1))) - - (pass-if "n = -1" - (eqv? 0 (remainder -1 -1))) - - (pass-if "n = fixnum-max" - (eqv? -1 (remainder -1 fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? -1 (remainder -1 (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? -1 (remainder -1 fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? -1 (remainder -1 (- fixnum-min 1))))) - - (with-test-prefix "fixnum-max / n" - - (pass-if "n = 1" - (eqv? 0 (remainder fixnum-max 1))) - - (pass-if "n = -1" - (eqv? 0 (remainder fixnum-max -1))) - - (pass-if "n = fixnum-max" - (eqv? 0 (remainder fixnum-max fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? fixnum-max (remainder fixnum-max (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? fixnum-max (remainder fixnum-max fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? fixnum-max (remainder fixnum-max (- fixnum-min 1))))) - - (with-test-prefix "(fixnum-max + 1) / n" - - (pass-if "n = 1" - (eqv? 0 (remainder (+ fixnum-max 1) 1))) - - (pass-if "n = -1" - (eqv? 0 (remainder (+ fixnum-max 1) -1))) - - (pass-if "n = fixnum-max" - (eqv? 1 (remainder (+ fixnum-max 1) fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 0 (remainder (+ fixnum-max 1) (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 0 (remainder (+ fixnum-max 1) fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? (+ fixnum-max 1) (remainder (+ fixnum-max 1) (- fixnum-min 1))))) - - (with-test-prefix "fixnum-min / n" - - (pass-if "n = 1" - (eqv? 0 (remainder fixnum-min 1))) - - (pass-if "n = -1" - (eqv? 0 (remainder fixnum-min -1))) - - (pass-if "n = fixnum-max" - (eqv? -1 (remainder fixnum-min fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? 0 (remainder fixnum-min (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? 0 (remainder fixnum-min fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? fixnum-min (remainder fixnum-min (- fixnum-min 1))))) - - (with-test-prefix "(fixnum-min - 1) / n" - - (pass-if "n = 1" - (eqv? 0 (remainder (- fixnum-min 1) 1))) - - (pass-if "n = -1" - (eqv? 0 (remainder (- fixnum-min 1) -1))) - - (pass-if "n = fixnum-max" - (eqv? -2 (remainder (- fixnum-min 1) fixnum-max))) - - (pass-if "n = fixnum-max + 1" - (eqv? -1 (remainder (- fixnum-min 1) (+ fixnum-max 1)))) - - (pass-if "n = fixnum-min" - (eqv? -1 (remainder (- fixnum-min 1) fixnum-min))) - - (pass-if "n = fixnum-min - 1" - (eqv? 0 (remainder (- fixnum-min 1) (- fixnum-min 1))))) - - ;; Positive dividend and divisor - - (pass-if "35 / 7" - (eqv? 0 (remainder 35 7))) - - ;; Negative dividend, positive divisor - - (pass-if "-35 / 7" - (eqv? 0 (remainder -35 7))) - - ;; Positive dividend, negative divisor - - (pass-if "35 / -7" - (eqv? 0 (remainder 35 -7))) - - ;; Negative dividend and divisor - - (pass-if "-35 / -7" - (eqv? 0 (remainder -35 -7))) - - ;; Are numerical overflows detected correctly? - - (with-test-prefix "division by zero" - - (pass-if-exception "(remainder 1 0)" - exception:numerical-overflow - (remainder 1 0)) - - (pass-if-exception "(remainder bignum 0)" - exception:numerical-overflow - (remainder (+ fixnum-max 1) 0))) - - ;; Are wrong type arguments detected correctly? - - ) - -;;; -;;; modulo -;;; - -(with-test-prefix "modulo" - - (expect-fail "documented?" - (documented? modulo)) - - (with-test-prefix "0 % n" - - (pass-if "n = 1" - (eqv? 0 (modulo 0 1))) - - (pass-if "n = -1" - (eqv? 0 (modulo 0 -1))) - - (pass-if "n = fixnum-max" - (eqv? 0 (modulo 0 fixnum-max))) - - (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 "(/ 0.0)" - (= +inf.0 (/ 0.0))) - - (pass-if-exception "(/ 1 0)" - exception:numerical-overflow - (/ 1 0)) - - (pass-if "(/ 1 0.0)" - (= +inf.0 (/ 1 0.0))) - - (pass-if-exception "(/ bignum 0)" - exception:numerical-overflow - (/ (+ fixnum-max 1) 0)) - - (pass-if "(/ bignum 0.0)" - (= +inf.0 (/ (+ fixnum-max 1) 0.0))) - - (pass-if-exception "(/ 1.0 0)" - exception:numerical-overflow - (/ 1.0 0)) - - (pass-if "(/ 1.0 0.0)" - (= +inf.0 (/ 1.0 0.0))) - - (pass-if-exception "(/ +i 0)" - exception:numerical-overflow - (/ +i 0)) - - (pass-if "(/ +i 0.0)" - (= +inf.0 (imag-part (/ +i 0.0))))) - - (with-test-prefix "complex division" - - (pass-if "(/ 3+4i)" - (= (/ 3+4i) 0.12-0.16i)) - - (pass-if "(/ 4+3i)" - (= (/ 4+3i) 0.16-0.12i)) - - (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)) - - (pass-if "(/ 25 3+4i)" - (= (/ 25 3+4i) 3.0-4.0i)) - - (pass-if "(/ 25 4+3i)" - (= (/ 25 4+3i) 4.0-3.0i)) - - (pass-if "(/ 1e200+1e200i)" - (= (/ 1e200+1e200i) 5.0e-201-5.0e-201i)))) - -;;; -;;; truncate -;;; - -;;; -;;; round -;;; - -;;; -;;; exact->inexact -;;; - -;;; -;;; floor -;;; - -;;; -;;; ceiling -;;; - -;;; -;;; make-rectangular -;;; - -;;; -;;; make-polar -;;; - -;;; -;;; real-part -;;; - -;;; -;;; imag-part -;;; - -;;; -;;; magnitude -;;; - -;;; -;;; angle -;;; - -;;; -;;; inexact->exact -;;; |