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git://git.sv.gnu.org/emacs.git
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193 lines
6.6 KiB
EmacsLisp
193 lines
6.6 KiB
EmacsLisp
;;; floatfns-tests.el --- tests for floating point operations -*- lexical-binding: t -*-
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;; Copyright 2017-2023 Free Software Foundation, Inc.
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;; This file is part of GNU Emacs.
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;; GNU Emacs 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 3 of the License, or
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;; (at your option) any later version.
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;; GNU Emacs 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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;; You should have received a copy of the GNU General Public License
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;; along with GNU Emacs. If not, see <https://www.gnu.org/licenses/>.
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;;; Code:
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(require 'ert)
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(ert-deftest floatfns-tests-cos ()
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(should (= (cos 0) 1.0))
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(should (= (cos float-pi) -1.0)))
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(ert-deftest floatfns-tests-sin ()
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(should (= (sin 0) 0.0)))
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(ert-deftest floatfns-tests-tan ()
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(should (= (tan 0) 0.0)))
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(ert-deftest floatfns-tests-isnan ()
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(should (isnan 0.0e+NaN))
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(should (isnan -0.0e+NaN))
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(should-error (isnan "foo") :type 'wrong-type-argument))
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(ert-deftest floatfns-tests-exp ()
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(should (= (exp 0) 1.0)))
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(ert-deftest floatfns-tests-expt ()
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(should (= (expt 2 8) 256)))
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(ert-deftest floatfns-tests-log ()
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(should (= (log 1000 10) 3.0)))
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(ert-deftest floatfns-tests-sqrt ()
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(should (= (sqrt 25) 5)))
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(ert-deftest floatfns-tests-abs ()
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(should (= (abs 10) 10))
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(should (= (abs -10) 10)))
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(ert-deftest floatfns-tests-logb ()
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(should (= (logb 10000) 13)))
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(ert-deftest floatfns-tests-ceiling ()
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(should (= (ceiling 0.5) 1)))
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(ert-deftest floatfns-tests-floor ()
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(should (= (floor 1.5) 1)))
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(ert-deftest floatfns-tests-round ()
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(should (= (round 1.49999999999) 1))
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(should (= (round 1.50000000000) 2))
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(should (= (round 1.50000000001) 2)))
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(ert-deftest floatfns-tests-truncate ()
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(should (= (truncate float-pi) 3)))
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(ert-deftest floatfns-tests-fceiling ()
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(should (= (fceiling 0.5) 1.0)))
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(ert-deftest floatfns-tests-ffloor ()
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(should (= (ffloor 1.5) 1.0)))
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(ert-deftest floatfns-tests-fround ()
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(should (= (fround 1.49999999999) 1.0))
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(should (= (fround 1.50000000000) 2.0))
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(should (= (fround 1.50000000001) 2.0)))
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(ert-deftest floatfns-tests-ftruncate ()
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(should (= (ftruncate float-pi) 3.0)))
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(ert-deftest divide-extreme-sign ()
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(should (= (ceiling most-negative-fixnum -1.0) (- most-negative-fixnum)))
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(should (= (floor most-negative-fixnum -1.0) (- most-negative-fixnum)))
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(should (= (round most-negative-fixnum -1.0) (- most-negative-fixnum)))
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(should (= (truncate most-negative-fixnum -1.0) (- most-negative-fixnum))))
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(ert-deftest logb-extreme-fixnum ()
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(should (= (logb most-negative-fixnum) (1+ (logb most-positive-fixnum)))))
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(ert-deftest fround-fixnum ()
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(should-error (ffloor 0) :type 'wrong-type-argument)
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(should-error (fceiling 0) :type 'wrong-type-argument)
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(should-error (ftruncate 0) :type 'wrong-type-argument)
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(should-error (fround 0) :type 'wrong-type-argument))
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(ert-deftest bignum-to-float ()
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;; 122 because we want to go as big as possible to provoke a rounding error,
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;; but not too big: 2**122 < 10**37 < 2**123, and the C standard says
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;; 10**37 <= DBL_MAX so 2**122 cannot overflow as a double.
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(let ((a (1- (ash 1 122))))
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(should (or (eql a (1- (floor (float a))))
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(eql a (floor (float a))))))
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(should (eql (float (+ most-positive-fixnum 1))
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(+ (float most-positive-fixnum) 1))))
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(ert-deftest bignum-abs ()
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(should (= most-positive-fixnum
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(- (abs most-negative-fixnum) 1))))
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(ert-deftest bignum-expt ()
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(dolist (n (list most-positive-fixnum (1+ most-positive-fixnum)
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most-negative-fixnum (1- most-negative-fixnum)
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(* 5 most-negative-fixnum)
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(* 5 (1+ most-positive-fixnum))
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-2 -1 0 1 2))
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(should (or (<= n 0) (= (expt 0 n) 0)))
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(should (= (expt 1 n) 1))
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(should (or (< n 0) (= (expt -1 n) (if (zerop (logand n 1)) 1 -1))))
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(should (= (expt n 0) 1))
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(should (= (expt n 1) n))
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(should (= (expt n 2) (* n n)))
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(should (= (expt n 3) (* n n n)))))
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(ert-deftest bignum-logb ()
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(should (= (+ (logb most-positive-fixnum) 1)
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(logb (+ most-positive-fixnum 1)))))
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(ert-deftest bignum-mod ()
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(should (= 0 (mod (1+ most-positive-fixnum) 2.0))))
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(ert-deftest bignum-round ()
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(let ((ns (list (* most-positive-fixnum most-negative-fixnum)
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(1- most-negative-fixnum) most-negative-fixnum
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(1+ most-negative-fixnum) -2 1 1 2
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(1- most-positive-fixnum) most-positive-fixnum
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(1+ most-positive-fixnum)
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(* most-positive-fixnum most-positive-fixnum))))
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(dolist (n ns)
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(should (= n (ceiling n)))
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(should (= n (floor n)))
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(should (= n (round n)))
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(should (= n (truncate n)))
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(let ((-n (- n))
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(f (float n))
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(-f (- (float n))))
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(should (= 1 (round n f) (round -n -f) (round f n) (round -f -n)))
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(should (= -1 (round -n f) (round n -f) (round f -n) (round -f n))))
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(dolist (d ns)
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(let ((q (/ n d))
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(r (% n d))
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(same-sign (eq (< n 0) (< d 0))))
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(should (= (ceiling n d)
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(+ q (if (and same-sign (not (zerop r))) 1 0))))
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(should (= (floor n d)
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(- q (if (and (not same-sign) (not (zerop r))) 1 0))))
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(should (= (truncate n d) q))
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(let ((cdelta (abs (- n (* d (ceiling n d)))))
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(fdelta (abs (- n (* d (floor n d)))))
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(rdelta (abs (- n (* d (round n d))))))
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(should (<= rdelta cdelta))
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(should (<= rdelta fdelta))
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(should (if (zerop r)
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(= 0 cdelta fdelta rdelta)
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(or (/= cdelta fdelta)
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(zerop (% (round n d) 2)))))))))))
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(ert-deftest special-round ()
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(dolist (f '(ceiling floor round truncate))
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(let ((ns '(-1e+INF 1e+INF -1 -0.0 0.0 0 1 -1e+NaN 1e+NaN)))
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(dolist (n ns)
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(if (not (<= (abs n) 1))
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(should-error (funcall f n))
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(should (= n (funcall f n)))
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(dolist (d '(-1e+INF 1e+INF))
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(should (eq 0 (funcall f n d)))))
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(dolist (d ns)
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(when (or (zerop d) (= (abs n) 1e+INF) (not (= n n)) (not (= d d)))
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(should-error (funcall f n d))))))))
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(ert-deftest big-round ()
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(should (= (floor 54043195528445955 3)
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(floor 54043195528445955 3.0)))
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(should (= (floor 1.7976931348623157e+308 5e-324)
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(ash (1- (ash 1 53)) 2045))))
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(provide 'floatfns-tests)
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;;; floatfns-tests.el ends here
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