;;;; numbers.test --- tests guile's numbers -*- scheme -*-
-;;;; Copyright (C) 2000, 2001, 2003, 2004, 2005, 2006, 2009, 2010 Free Software Foundation, Inc.
+;;;; Copyright (C) 2000, 2001, 2003, 2004, 2005, 2006, 2009, 2010, 2011 Free Software Foundation, Inc.
;;;;
;;;; This library is free software; you can redistribute it and/or
;;;; modify it under the terms of the GNU Lesser General Public
;;; 1+
;;;
-(with-test-prefix "1+"
+(with-test-prefix/c&e "1+"
(pass-if "documented?"
(documented? 1+))
- (pass-if (eqv? 1 (1+ 0)))
- (pass-if (eqv? 0 (1+ -1)))
- (pass-if (eqv? 101 (1+ 100)))
- (pass-if (eqv? -99 (1+ -100))))
+ (pass-if "0" (eqv? 1 (1+ 0)))
+ (pass-if "-1" (eqv? 0 (1+ -1)))
+ (pass-if "100" (eqv? 101 (1+ 100)))
+ (pass-if "-100" (eqv? -99 (1+ -100)))
+
+ ;; The maximum fixnum on a 32-bit architecture: 2^29 - 1.
+ (pass-if "1+ fixnum = bignum (32-bit)"
+ (eqv? 536870912 (1+ 536870911)))
+
+ ;; The maximum fixnum on a 64-bit architecture: 2^61 - 1.
+ (pass-if "1+ fixnum = bignum (64-bit)"
+ (eqv? 2305843009213693952 (1+ 2305843009213693951))))
;;;
;;; 1-
;;;
-(with-test-prefix "1-"
+(with-test-prefix/c&e "1-"
(pass-if "documented?"
(documented? 1-))
- (pass-if (eqv? -1 (1- 0)))
- (pass-if (eqv? 0 (1- 1)))
- (pass-if (eqv? 99 (1- 100)))
- (pass-if (eqv? -101 (1- -100))))
+ (pass-if "0" (eqv? -1 (1- 0)))
+ (pass-if "1" (eqv? 0 (1- 1)))
+ (pass-if "100" (eqv? 99 (1- 100)))
+ (pass-if "-100" (eqv? -101 (1- -100)))
+
+ ;; The minimum fixnum on a 32-bit architecture: -2^29.
+ (pass-if "1- fixnum = bignum (32-bit)"
+ (eqv? -536870913 (1- -536870912)))
+
+ ;; The minimum fixnum on a 64-bit architecture: -2^61.
+ (pass-if "1- fixnum = bignum (64-bit)"
+ (eqv? -2305843009213693953 (1- -2305843009213693952))))
;;;
;;; ash
;; or not. It is clearly undesirable to have number->string to be
;; influenced by this.
- (pass-if (string=? (number->string 35.25 36) "Z.9"))
+ (pass-if (string=? (number->string 35.25 36) "z.9"))
(pass-if (or (string=? (number->string 0.25 2) "0.01")
(string=? (number->string 0.25 2) "0.010")))
- (pass-if (string=? (number->string 255.0625 16) "FF.1"))
+ (pass-if (string=? (number->string 255.0625 16) "ff.1"))
(pass-if (string=? (number->string (/ 1 3) 3) "1/10"))
+ (pass-if (string=? (number->string 10) "10"))
+ (pass-if (string=? (number->string 10 11) "a"))
+ (pass-if (string=? (number->string 36 36) "10"))
+ (pass-if (= (num->str->num 36 36) 36))
+ (pass-if (= (string->number "z" 36) 35))
+ (pass-if (= (string->number "Z" 36) 35))
+ (pass-if (not (string->number "Z" 35)))
+ (pass-if (string=? (number->string 35 36) "z"))
+ (pass-if (= (num->str->num 35 36) 35))
+
;; Numeric conversion from decimal is not precise, in its current
;; implementation, so 11.333... and 1.324... can't be expected to
;; reliably come out to precise values. These tests did actually work
(pass-if (and (= 3+0i (round 3+0i)) (integer? 3+0i)))
(pass-if (and (= 1.0 (round 1.0)) (integer? 1.0)))
(pass-if (not (integer? 1.3)))
- (pass-if (integer? +inf.0))
- (pass-if (integer? -inf.0))
+ (pass-if (not (integer? +inf.0)))
+ (pass-if (not (integer? -inf.0)))
(pass-if (not (integer? +nan.0)))
(pass-if (not (integer? 3+4i)))
(pass-if (not (integer? #\a)))
;;; +
;;;
-(with-test-prefix "+"
+(with-test-prefix/c&e "+"
(pass-if "documented?"
- (documented? +)))
+ (documented? +))
+
+ ;; The maximum fixnum on a 32-bit architecture: 2^29 - 1.
+ (pass-if "fixnum + fixnum = bignum (32-bit)"
+ (eqv? 536870912 (+ 536870910 2)))
+
+ ;; The maximum fixnum on a 64-bit architecture: 2^61 - 1.
+ (pass-if "fixnum + fixnum = bignum (64-bit)"
+ (eqv? 2305843009213693952 (+ 2305843009213693950 2)))
+
+ (pass-if "bignum + fixnum = fixnum"
+ (eqv? 0 (+ (1+ most-positive-fixnum) most-negative-fixnum))))
;;;
;;; -
;;;
-(with-test-prefix "-"
+(with-test-prefix/c&e "-"
(pass-if "-inum - +bignum"
(= #x-100000000000000000000000000000001
(pass-if "big - -inum"
(= #x100000000000000000000000000000001
- (- #x100000000000000000000000000000000 -1))))
+ (- #x100000000000000000000000000000000 -1)))
+
+ ;; The mininum fixnum on a 32-bit architecture: -2^29.
+ (pass-if "fixnum - fixnum = bignum (32-bit)"
+ (eqv? -536870912 (- -536870910 2)))
+
+ ;; The minimum fixnum on a 64-bit architecture: -2^61.
+ (pass-if "fixnum - fixnum = bignum (64-bit)"
+ (eqv? -2305843009213693952 (- -2305843009213693950 2)))
+
+ (pass-if "bignum - fixnum = fixnum"
+ (eqv? most-positive-fixnum (- (1+ most-positive-fixnum) 1))))
;;;
;;; *
(with-test-prefix "expt"
(pass-if-exception "non-numeric base" exception:wrong-type-arg
(expt #t 0))
- (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))))
+ (pass-if (eqv? 1 (expt 0 0)))
+ (pass-if (eqv? 1 (expt 0.0 0)))
+ (pass-if (eqv? 1.0 (expt 0 0.0)))
+ (pass-if (eqv? 1.0 (expt 0.0 0.0)))
+ (pass-if (nan? (expt 0 -1)))
+ (pass-if (nan? (expt 0 -1.0)))
+ (pass-if (nan? (expt 0.0 -1)))
+ (pass-if (nan? (expt 0.0 -1.0)))
+ (pass-if (eqv? 0 (expt 0 3)))
+ (pass-if (= 0 (expt 0 4.0)))
+ (pass-if (eqv? 0.0 (expt 0.0 5)))
+ (pass-if (eqv? 0.0 (expt 0.0 6.0)))
+ (pass-if (eqv? -2742638075.5 (expt -2742638075.5 1)))
+ (pass-if (eqv? (* -2742638075.5 -2742638075.5)
+ (expt -2742638075.5 2)))
+ (pass-if (eqv? 4.0 (expt -2.0 2.0)))
+ (pass-if (eqv? -1/8 (expt -2 -3)))
+ (pass-if (eqv? -0.125 (expt -2.0 -3)))
+ (pass-if (eqv? -0.125 (expt -2 -3.0)))
+ (pass-if (eqv? -0.125 (expt -2.0 -3.0)))
+ (pass-if (eqv? 0.25 (expt 2.0 -2.0)))
+ (pass-if (eqv? (* -1.0 12398 12398) (expt +12398i 2.0)))
+ (pass-if (eqv-loosely? +i (expt -1 0.5)))
+ (pass-if (eqv-loosely? +i (expt -1 1/2)))
+ (pass-if (eqv-loosely? 1.0+1.7320508075688i (expt -8 1/3)))
+ (pass-if (eqv? +inf.0 (expt 2 +inf.0)))
+ (pass-if (eqv? +inf.0 (expt 2.0 +inf.0)))
+ (pass-if (eqv? 0.0 (expt 2 -inf.0)))
+ (pass-if (eqv? 0.0 (expt 2.0 -inf.0))))
+
;;;
;;; asinh
(pass-if-exception "2^-inf" exception:wrong-type-arg
(integer-expt 2 -inf.0))
(pass-if-exception "2^nan" exception:wrong-type-arg
- (integer-expt 2 +nan.0)))
+ (integer-expt 2 +nan.0))
+
+ (pass-if (eqv? 1 (integer-expt 0 0)))
+ (pass-if (eqv? 1 (integer-expt 0.0 0)))
+ (pass-if (nan? (integer-expt 0 -1)))
+ (pass-if (nan? (integer-expt 0.0 -1)))
+ (pass-if (eqv? 0 (integer-expt 0 3)))
+ (pass-if (eqv? 0.0 (integer-expt 0.0 5)))
+ (pass-if (eqv? -2742638075.5 (integer-expt -2742638075.5 1)))
+ (pass-if (eqv? (* -2742638075.5 -2742638075.5)
+ (integer-expt -2742638075.5 2)))
+ (pass-if (eqv? 4.0 (integer-expt -2.0 2)))
+ (pass-if (eqv? -1/8 (integer-expt -2 -3)))
+ (pass-if (eqv? -0.125 (integer-expt -2.0 -3)))
+ (pass-if (eqv? 0.25 (integer-expt 2.0 -2)))
+ (pass-if (eqv? (* -1.0 12398 12398) (integer-expt +12398.0i 2))))
+
;;;
;;; integer-length