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guile/test-suite/tests/r6rs-arithmetic-flonums.test
Julian Graham b01818d752 Implementation and test cases for the R6RS (rnrs arithmetic flonums)
library.

* module/Makefile.am: Add rnrs/arithmetic/6/fixnums.scm and
  rnrs/arithmetic/6/flonums.scm to RNRS_SOURCES.
* module/rnrs/6/base.scm: (div-and-mod, div0, mod0, div0-and-mod0): New
  functions; this `div' implementation is not quite right, but we'll come
  back to it later.
* module/rnrs/arithmetic/6/fixnums.scm: New file.
* module/rnrs/arithmetic/6/flonums.scm: New file.
* test-suite/Makefile.am: Add tests/r6rs-arithmetic-flonums.test to
  SCM_TESTS.
* test-suite/tests/r6rs-arithmetic-flonums.test: New file.
2010-05-20 21:18:03 -04:00

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;;; arithmetic-flonums.test --- Test suite for R6RS (rnrs arithmetic flonums)
;; Copyright (C) 2010 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
;; License as published by the Free Software Foundation; either
;; version 3 of the License, or (at your option) any later version.
;;
;; This library 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
;; Lesser General Public License for more details.
;;
;; You should have received a copy of the GNU Lesser General Public
;; License along with this library; if not, write to the Free Software
;; Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
(define-module (test-suite test-r6rs-arithmetic-flonums)
:use-module ((rnrs arithmetic flonums) :version (6))
:use-module ((rnrs conditions) :version (6))
:use-module ((rnrs exceptions) :version (6))
:use-module (test-suite lib))
(define fake-pi 3.14159265)
(define (reasonably-close? x y) (< (abs (- x y)) 0.0000001))
(with-test-prefix "flonum?"
(pass-if "flonum? is #t on flonum"
(flonum? 1.5))
(pass-if "flonum? is #f on non-flonum"
(not (flonum? 3))))
(with-test-prefix "real->flonum"
(pass-if "simple"
(flonum? (real->flonum 3))))
(with-test-prefix "fl=?"
(pass-if "fl=? is #t for eqv inputs"
(fl=? 3.0 3.0 3.0))
(pass-if "fl=? is #f for non-eqv inputs"
(not (fl=? 1.5 0.0 3.0)))
(pass-if "+inf.0 is fl= to itself"
(fl=? +inf.0 +inf.0))
(pass-if "0.0 and -0.0 are fl="
(fl=? 0.0 -0.0)))
(with-test-prefix "fl<?"
(pass-if "fl<? is #t for monotonically < inputs"
(fl<? 1.0 2.0 3.0))
(pass-if "fl<? is #f for non-monotonically < inputs"
(not (fl<? 2.0 2.0 1.4))))
(with-test-prefix "fl<=?"
(pass-if "fl<=? is #t for monotonically < or = inputs"
(fl<=? 1.0 1.2 1.2))
(pass-if "fl<=? is #f non-monotonically < or = inputs"
(not (fl<=? 2.0 1.0 0.9))))
(with-test-prefix "fl>?"
(pass-if "fl>? is #t for monotonically > inputs"
(fl>? 3.0 2.0 1.0))
(pass-if "fl>? is #f for non-monotonically > inputs"
(not (fl>? 1.0 1.0 1.2))))
(with-test-prefix "fl>=?"
(pass-if "fl>=? is #t for monotonically > or = inputs"
(fl>=? 3.0 2.0 2.0))
(pass-if "fl>=? is #f for non-monotonically > or = inputs"
(not (fl>=? 1.0 1.2 1.2))))
(with-test-prefix "flinteger?"
(pass-if "flinteger? is #t on integer flomnums"
(flinteger? 1.0))
(pass-if "flinteger? is #f on non-integer flonums"
(not (flinteger? 1.5))))
(with-test-prefix "flzero?"
(pass-if "flzero? is #t for 0.0 and -0.0"
(and (flzero? 0.0) (flzero? -0.0)))
(pass-if "flzero? is #f for non-zero flonums"
(not (flzero? 1.0))))
(with-test-prefix "flpositive?"
(pass-if "flpositive? is #t on positive flonum"
(flpositive? 1.0))
(pass-if "flpositive? is #f on negative flonum"
(not (flpositive? -1.0)))
(pass-if "0.0 and -0.0 are not flpositive"
(and (not (flpositive? 0.0)) (not (flpositive? -0.0)))))
(with-test-prefix "flnegative?"
(pass-if "flnegative? is #t on negative flonum"
(flnegative? -1.0))
(pass-if "flnegative? is #f on positive flonum"
(not (flnegative? 1.0)))
(pass-if "0.0 and -0.0 are not flnegative"
(and (not (flnegative? 0.0)) (not (flnegative? -0.0)))))
(with-test-prefix "flodd?"
(pass-if "&assertion raised on non-integer flonum"
(guard (condition ((assertion-violation? condition) #t) (else #f))
(begin (flodd? 1.5) #f)))
(pass-if "flodd? is #t on odd flonums"
(flodd? 3.0))
(pass-if "flodd? is #f on even flonums"
(not (flodd? 2.0))))
(with-test-prefix "fleven?"
(pass-if "&assertion raised on non-integer flonum"
(guard (condition ((assertion-violation? condition) #t) (else #f))
(begin (fleven? 1.5) #f)))
(pass-if "fleven? is #t on even flonums"
(fleven? 2.0))
(pass-if "fleven? is #f on odd flonums"
(not (fleven? 3.0))))
(with-test-prefix "flfinite?"
(pass-if "flfinite? is #t on non-infinite flonums"
(flfinite? 2.0))
(pass-if "flfinite? is #f on infinities"
(and (not (flfinite? +inf.0)) (not (flfinite? -inf.0)))))
(with-test-prefix "flinfinite?"
(pass-if "flinfinite? is #t on infinities"
(and (flinfinite? +inf.0) (flinfinite? -inf.0)))
(pass-if "flinfinite? is #f on non-infinite flonums"
(not (flinfinite? 2.0))))
(with-test-prefix "flnan?"
(pass-if "flnan? is #t on NaN and -NaN"
(and (flnan? +nan.0) (flnan? -nan.0)))
(pass-if "flnan? is #f on non-NaN values"
(not (flnan? 1.5))))
(with-test-prefix "flmax"
(pass-if "simple" (fl=? (flmax 1.0 3.0 2.0) 3.0)))
(with-test-prefix "flmin"
(pass-if "simple" (fl=? (flmin -1.0 0.0 2.0) -1.0)))
(with-test-prefix "fl+"
(pass-if "simple" (fl=? (fl+ 2.141 1.0 0.1) 3.241)))
(with-test-prefix "fl*"
(pass-if "simple" (fl=? (fl* 1.0 2.0 3.0 1.5) 9.0)))
(with-test-prefix "fl-"
(pass-if "unary fl- negates argument" (fl=? (fl- 2.0) -2.0))
(pass-if "simple" (fl=? (fl- 10.5 6.0 0.5) 4.0)))
(with-test-prefix "fl/"
(pass-if "unary fl/ returns multiplicative inverse" (fl=? (fl/ 10.0) 0.1))
(pass-if "simple" (fl=? (fl/ 10.0 2.0 2.0) 2.5)))
(with-test-prefix "flabs"
(pass-if "simple" (and (fl=? (flabs -1.0) 1.0) (fl=? (flabs 1.23) 1.23))))
(with-test-prefix "fldiv-and-mod"
(pass-if "simple"
(call-with-values (lambda () (fldiv-and-mod 5.0 2.0))
(lambda (div mod) (fl=? div 2.0) (fl=? mod 1.0)))))
(with-test-prefix "fldiv"
(pass-if "simple" (fl=? (fldiv 5.0 2.0) 2.0)))
(with-test-prefix "flmod"
(pass-if "simple" (fl=? (flmod 5.0 2.0) 1.0)))
(with-test-prefix "fldiv0-and-mod0"
(pass-if "simple"
(call-with-values (lambda () (fldiv0-and-mod0 -123.0 10.0))
(lambda (div mod)
(or (and (fl=? div -12.0) (fl=? mod -3.0))
(throw 'unresolved))))))
(with-test-prefix "fldiv0"
(pass-if "simple" (or (fl=? (fldiv0 -123.0 10.0) -12.0) (throw 'unresolved))))
(with-test-prefix "flmod0"
(pass-if "simple" (or (fl=? (flmod0 -123.0 10.0) -3.0) (throw 'unresolved))))
(with-test-prefix "flnumerator"
(pass-if "simple" (fl=? (flnumerator 0.5) 1.0))
(pass-if "infinities"
(and (fl=? (flnumerator +inf.0) +inf.0)
(fl=? (flnumerator -inf.0) -inf.0)))
(pass-if "negative zero" (fl=? (flnumerator -0.0) -0.0)))
(with-test-prefix "fldenominator"
(pass-if "simple" (fl=? (fldenominator 0.5) 2.0))
(pass-if "infinities"
(and (fl=? (fldenominator +inf.0) 1.0)
(fl=? (fldenominator -inf.0) 1.0)))
(pass-if "zero" (fl=? (fldenominator 0.0) 1.0)))
(with-test-prefix "flfloor"
(pass-if "simple"
(and (fl=? (flfloor -4.3) -5.0)
(fl=? (flfloor 3.5) 3.0))))
(with-test-prefix "flceiling"
(pass-if "simple"
(and (fl=? (flceiling -4.3) -4.0)
(fl=? (flceiling 3.5) 4.0))))
(with-test-prefix "fltruncate"
(pass-if "simple"
(and (fl=? (fltruncate -4.3) -4.0)
(fl=? (fltruncate 3.5) 3.0))))
(with-test-prefix "flround"
(pass-if "simple"
(and (fl=? (flround -4.3) -4.0)
(fl=? (flround 3.5) 4.0))))
(with-test-prefix "flexp"
(pass-if "infinities"
(and (fl=? (flexp +inf.0) +inf.0)
(fl=? (flexp -inf.0) 0.0))))
(with-test-prefix "fllog"
(pass-if "unary fllog returns natural log"
(let ((l (fllog 2.718281828459045)))
(and (fl<=? 0.9 l) (fl>=? 1.1 l))))
(pass-if "infinities"
(and (fl=? (fllog +inf.0) +inf.0)
(flnan? (fllog -inf.0))))
(pass-if "zeroes" (fl=? (fllog 0.0) -inf.0))
(pass-if "binary fllog returns log in specified base"
(fl=? (fllog 8.0 2.0) 3.0)))
(with-test-prefix "flsin"
(pass-if "simple"
(and (reasonably-close? (flsin (/ fake-pi 2)) 1.0)
(reasonably-close? (flsin (/ fake-pi 6)) 0.5))))
(with-test-prefix "flcos"
(pass-if "simple"
(and (fl=? (flcos 0.0) 1.0) (reasonably-close? (flcos (/ fake-pi 3)) 0.5))))
(with-test-prefix "fltan"
(pass-if "simple"
(and (reasonably-close? (fltan (/ fake-pi 4)) 1.0)
(reasonably-close? (fltan (/ (* 3 fake-pi) 4)) -1.0))))
(with-test-prefix "flasin"
(pass-if "simple"
(and (reasonably-close? (flasin 1.0) (/ fake-pi 2))
(reasonably-close? (flasin 0.5) (/ fake-pi 6)))))
(with-test-prefix "flacos"
(pass-if "simple"
(and (fl=? (flacos 1.0) 0.0)
(reasonably-close? (flacos 0.5) (/ fake-pi 3)))))
(with-test-prefix "flatan"
(pass-if "unary flatan"
(and (reasonably-close? (flatan 1.0) (/ fake-pi 4))
(reasonably-close? (flatan -1.0) (/ fake-pi -4))))
(pass-if "infinities"
(and (reasonably-close? (flatan -inf.0) -1.5707963267949)
(reasonably-close? (flatan +inf.0) 1.5707963267949)))
(pass-if "binary flatan"
(and (reasonably-close? (flatan 3.5 3.5) (/ fake-pi 4)))))
(with-test-prefix "flsqrt"
(pass-if "simple" (fl=? (flsqrt 4.0) 2.0))
(pass-if "infinity" (fl=? (flsqrt +inf.0) +inf.0))
(pass-if "negative zero" (fl=? (flsqrt -0.0) -0.0)))
(with-test-prefix "flexpt" (pass-if "simple" (fl=? (flexpt 2.0 3.0) 8.0)))
(with-test-prefix "fixnum->flonum"
(pass-if "simple" (fl=? (fixnum->flonum 100) 100.0)))