| 1 | ;;; math-tests.lisp |
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| 2 | ;;; |
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| 3 | ;;; Copyright (C) 2005 Peter Graves |
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| 4 | ;;; $Id: math-tests.lisp 13260 2011-04-03 16:02:44Z mevenson $ |
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| 5 | ;;; |
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| 6 | ;;; This program is free software; you can redistribute it and/or |
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| 7 | ;;; modify it under the terms of the GNU General Public License |
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| 8 | ;;; as published by the Free Software Foundation; either version 2 |
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| 9 | ;;; of the License, or (at your option) any later version. |
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| 10 | ;;; |
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| 11 | ;;; This program is distributed in the hope that it will be useful, |
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| 12 | ;;; but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 13 | ;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 14 | ;;; GNU General Public License for more details. |
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| 15 | ;;; |
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| 16 | ;;; You should have received a copy of the GNU General Public License |
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| 17 | ;;; along with this program; if not, write to the Free Software |
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| 18 | ;;; Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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| 19 | |
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| 20 | ;;; Some of these tests are based on tests in the CLISP test suite. |
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| 21 | |
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| 22 | (in-package #:abcl.test.lisp) |
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| 23 | |
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| 24 | #+(or abcl cmu sbcl) |
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| 25 | (defmacro set-floating-point-modes (&rest args) |
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| 26 | `(funcall #+abcl 'ext:set-floating-point-modes |
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| 27 | #+cmu 'ext:set-floating-point-modes |
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| 28 | #+sbcl 'sb-int:set-floating-point-modes |
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| 29 | ,@args)) |
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| 30 | |
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| 31 | #+(or abcl cmu sbcl) |
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| 32 | (defmacro get-floating-point-modes () |
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| 33 | #+abcl `(ext:get-floating-point-modes) |
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| 34 | #+cmu `(ext:get-floating-point-modes) |
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| 35 | #+sbcl `(sb-int:get-floating-point-modes)) |
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| 36 | |
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| 37 | #+(or abcl cmu sbcl) |
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| 38 | (defmacro restore-default-floating-point-modes () |
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| 39 | #+abcl |
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| 40 | `(ext:set-floating-point-modes :traps '(:overflow :underflow)) |
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| 41 | #+(or cmu sbcl) |
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| 42 | `(set-floating-point-modes :traps '(:overflow :invalid :divide-by-zero))) |
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| 43 | |
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| 44 | #+(or abcl cmu sbcl) |
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| 45 | (eval-when (:compile-toplevel :load-toplevel :execute) |
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| 46 | (restore-default-floating-point-modes)) |
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| 47 | ;; (ext:set-floating-point-modes :traps '(:overflow :underflow))) |
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| 48 | ;; |
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| 49 | |
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| 50 | (deftest most-negative-fixnum.1 |
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| 51 | (= (/ most-negative-fixnum -1) (- most-negative-fixnum)) |
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| 52 | t) |
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| 53 | |
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| 54 | (deftest most-negative-fixnum.2 |
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| 55 | (= (abs most-negative-fixnum) (- most-negative-fixnum)) |
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| 56 | t) |
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| 57 | |
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| 58 | #+(or abcl cmu sbcl) |
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| 59 | (deftest floating-point-modes.1 |
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| 60 | (unwind-protect |
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| 61 | (progn |
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| 62 | (set-floating-point-modes :traps nil) |
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| 63 | (getf (get-floating-point-modes) :traps)) |
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| 64 | (restore-default-floating-point-modes)) |
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| 65 | nil) |
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| 66 | |
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| 67 | #+(or abcl cmu sbcl) |
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| 68 | (deftest floating-point-modes.2 |
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| 69 | (unwind-protect |
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| 70 | (progn |
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| 71 | (set-floating-point-modes :traps '(:overflow)) |
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| 72 | (getf (get-floating-point-modes) :traps)) |
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| 73 | (restore-default-floating-point-modes)) |
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| 74 | (:overflow)) |
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| 75 | |
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| 76 | #+(or abcl cmu sbcl) |
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| 77 | (deftest floating-point-modes.3 |
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| 78 | (unwind-protect |
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| 79 | (progn |
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| 80 | (set-floating-point-modes :traps '(:underflow)) |
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| 81 | (getf (get-floating-point-modes) :traps)) |
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| 82 | (restore-default-floating-point-modes)) |
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| 83 | (:underflow)) |
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| 84 | |
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| 85 | #+(or abcl cmu sbcl) |
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| 86 | (deftest floating-point-modes.4 |
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| 87 | (unwind-protect |
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| 88 | (progn |
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| 89 | (set-floating-point-modes :traps '(:overflow :underflow)) |
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| 90 | (set-exclusive-or (getf (get-floating-point-modes) :traps) |
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| 91 | '(:overflow :underflow))) |
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| 92 | (restore-default-floating-point-modes)) |
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| 93 | nil) |
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| 94 | |
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| 95 | (deftest single-float-epsilon.1 |
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| 96 | single-float-epsilon |
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| 97 | #+lispworks 1.1102230246251568f-16 |
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| 98 | #-lispworks 5.960465f-8) |
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| 99 | |
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| 100 | (deftest single-float-negative-epsilon.1 |
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| 101 | single-float-negative-epsilon |
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| 102 | #+lispworks 5.551115123125784f-17 |
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| 103 | #-lispworks 2.9802326f-8) |
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| 104 | |
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| 105 | (deftest most-positive-single-float.1 |
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| 106 | most-positive-single-float |
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| 107 | #-lispworks |
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| 108 | 3.4028235e+38 |
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| 109 | #+lispworks |
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| 110 | 1.7976931348623157E308) |
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| 111 | |
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| 112 | (deftest most-positive-single-float.2 |
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| 113 | (log most-positive-single-float) |
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| 114 | #-lispworks 88.72284 |
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| 115 | #+lispworks 709.782712893384) |
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| 116 | |
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| 117 | (deftest least-positive-single-float.1 |
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| 118 | least-positive-single-float |
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| 119 | #-(or clisp lispworks) 1.4012985e-45 |
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| 120 | #+clisp 1.1754944E-38 |
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| 121 | #+lispworks 4.9406564584124646E-324) |
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| 122 | |
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| 123 | (deftest least-positive-single-float.2 |
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| 124 | (log least-positive-single-float) |
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| 125 | #-(or clisp lispworks) -103.27893 |
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| 126 | #+clisp -87.33655 |
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| 127 | #+lispworks -744.4400719213812) |
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| 128 | |
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| 129 | ;; SQRT |
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| 130 | (deftest sqrt.1 |
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| 131 | (sqrt 0) |
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| 132 | #+clisp 0 |
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| 133 | #-clisp 0.0) |
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| 134 | |
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| 135 | (deftest sqrt.2 |
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| 136 | (sqrt 1) |
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| 137 | #+clisp 1 |
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| 138 | #-clisp 1.0) |
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| 139 | |
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| 140 | (deftest sqrt.3 |
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| 141 | (sqrt 9) |
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| 142 | #+clisp 3 |
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| 143 | #-clisp 3.0) |
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| 144 | |
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| 145 | (deftest sqrt.4 |
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| 146 | (sqrt -9) |
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| 147 | #+clisp #c(0 3) |
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| 148 | #-clisp #c(0.0 3.0)) |
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| 149 | |
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| 150 | (deftest sqrt.5 |
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| 151 | (sqrt #c(-7 24)) |
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| 152 | #-(or clisp lispworks) #c(3.0 4.0) |
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| 153 | #+clisp #c(3 4) |
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| 154 | #+lispworks #c(3.0 3.999999999999999)) |
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| 155 | |
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| 156 | (deftest sqrt.6 |
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| 157 | (sqrt 1d0) |
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| 158 | 1.0d0) |
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| 159 | |
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| 160 | (deftest sqrt.7 |
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| 161 | (sqrt -1) |
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| 162 | #+(or clisp) #c(0 1) |
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| 163 | #+(or abcl allegro cmu lispworks sbcl) #c(0.0 1.0)) |
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| 164 | |
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| 165 | (deftest sqrt.8 |
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| 166 | (sqrt -1d0) |
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| 167 | #c(0 1.0d0)) |
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| 168 | |
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| 169 | (deftest sqrt.9 |
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| 170 | (sqrt #c(0.0 0.0)) |
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| 171 | #c(0.0 0.0)) |
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| 172 | |
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| 173 | (deftest sqrt.10 |
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| 174 | (sqrt #c(4.0 0.0)) |
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| 175 | #c(2.0 0.0)) |
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| 176 | |
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| 177 | (deftest sqrt.11 |
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| 178 | (sqrt #c(-4.0 0.0)) |
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| 179 | #c(0.0 2.0)) |
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| 180 | |
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| 181 | (deftest sqrt.12 |
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| 182 | (sqrt #c(-4.4855622e-7 0.0)) |
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| 183 | #-lispworks |
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| 184 | #c(0.0 6.697434e-4) |
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| 185 | #+lispworks |
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| 186 | #c(0.0 6.697433986236818e-4)) |
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| 187 | |
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| 188 | #+(or abcl cmu lispworks sbcl) |
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| 189 | (deftest sqrt.13 |
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| 190 | (float-sign (sqrt -0.0)) |
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| 191 | -1.0) |
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| 192 | |
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| 193 | #+(or abcl cmu lispworks sbcl) |
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| 194 | (deftest sqrt.14 |
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| 195 | (float-sign (sqrt -0.0d0)) |
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| 196 | -1.0d0) |
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| 197 | |
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| 198 | ;; EXP |
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| 199 | (deftest exp.1 |
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| 200 | (exp #c(0 0)) |
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| 201 | #+(or abcl allegro cmu lispworks sbcl) 1.0 |
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| 202 | #+clisp 1) |
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| 203 | |
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| 204 | (deftest exp.2 |
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| 205 | (exp #c(0 1)) |
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| 206 | #-lispworks #c(0.5403023 0.84147096) |
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| 207 | #+lispworks #c(0.5403023058681398 0.8414709848078965)) |
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| 208 | |
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| 209 | (deftest exp.3 |
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| 210 | (exp #c(1 1)) |
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| 211 | #+(or abcl cmu sbcl) #c(1.4686939 2.2873552) |
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| 212 | #+(or allegro clisp) #c(1.468694 2.2873552) |
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| 213 | #+lispworks #c(1.4686939399158851 2.2873552871788423)) |
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| 214 | |
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| 215 | (deftest exp.4 |
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| 216 | (exp #c(1 1d0)) |
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| 217 | #c(1.4686939399158851d0 2.2873552871788423d0)) |
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| 218 | |
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| 219 | (deftest exp.5 |
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| 220 | (exp #c(1d0 1d0)) |
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| 221 | #c(1.4686939399158851d0 2.2873552871788423d0)) |
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| 222 | |
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| 223 | (deftest exp.6 |
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| 224 | (exp #c(0 1d0)) |
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| 225 | #c(0.5403023058681398d0 0.8414709848078965d0)) |
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| 226 | |
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| 227 | (deftest exp.7 |
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| 228 | (exp 1) |
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| 229 | #-lispworks 2.7182817 |
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| 230 | #+lispworks 2.718281828459045) |
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| 231 | |
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| 232 | (deftest exp.8 |
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| 233 | (exp 1f0) |
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| 234 | #-lispworks 2.7182817 |
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| 235 | #+lispworks 2.718281828459045) |
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| 236 | |
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| 237 | (deftest exp.9 |
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| 238 | (exp 1d0) |
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| 239 | 2.718281828459045d0) |
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| 240 | |
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| 241 | ;; EXPT |
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| 242 | (deftest expt.1 |
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| 243 | (expt -5.0f0 2) |
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| 244 | 25.0) |
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| 245 | |
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| 246 | (deftest expt.2 |
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| 247 | (expt -5.0f0 1.9f0) |
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| 248 | #c(20.241808 -6.576964)) |
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| 249 | |
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| 250 | (deftest expt.3 |
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| 251 | (expt -5.0f0 2.0f0) |
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| 252 | #+(or abcl cmu sbcl) 25f0 |
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| 253 | #+allegro #c(25.0 -6.1230318e-15) |
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| 254 | #+clisp #c(25f0 0f0) |
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| 255 | #+lispworks #c(24.999999999999993 -6.123031769111885e-15)) |
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| 256 | |
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| 257 | (deftest expt.4 |
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| 258 | (expt -5.0f0 2.1f0) |
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| 259 | #c(27.928223 9.074421)) |
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| 260 | |
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| 261 | (deftest expt.5 |
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| 262 | (expt -5.0d0 1.9d0) |
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| 263 | #+(or abcl allegro) #c(20.24180952239008d0 -6.576962601219341d0) |
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| 264 | #+clisp #c(20.241809522390078d0 -6.576962601219342d0) |
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| 265 | #+(or cmu sbcl) #c(20.241809522390078d0 -6.57696260121934d0)) |
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| 266 | |
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| 267 | (deftest expt.6 |
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| 268 | (expt -5.0d0 2.0d0) |
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| 269 | #+(or abcl cmu sbcl) 25d0 |
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| 270 | #+allegro #c(24.999999999999996d0 -6.1230317691118855d-15) |
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| 271 | #+clisp #c(25d0 0d0)) |
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| 272 | |
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| 273 | (deftest expt.7 |
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| 274 | (expt -5.0d0 2.1d0) |
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| 275 | #+allegro #c(27.92822499968966d0 9.074430383223417d0) |
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| 276 | #+clisp #c(27.928224999689668d0 9.074430383223435d0) |
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| 277 | #-(or allegro clisp) #c(27.92822499968967d0 9.07443038322342d0)) |
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| 278 | |
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| 279 | (deftest expt.8 |
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| 280 | (expt -5 2) |
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| 281 | 25) |
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| 282 | |
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| 283 | (deftest expt.9 |
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| 284 | (eql (expt 5f0 3f0) (* 5.0 5.0 5.0)) |
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| 285 | t) |
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| 286 | |
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| 287 | (deftest expt.10 |
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| 288 | (expt 5f0 3f0) |
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| 289 | 125f0) |
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| 290 | |
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| 291 | (deftest expt.11 |
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| 292 | (expt 5d0 3d0) |
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| 293 | 125d0) |
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| 294 | |
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| 295 | (deftest expt.12 |
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| 296 | (expt 5 3) |
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| 297 | 125) |
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| 298 | |
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| 299 | (deftest expt.13 |
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| 300 | (expt #c(10 11) 1) |
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| 301 | #c(10 11)) |
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| 302 | |
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| 303 | (deftest expt.14 |
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| 304 | (expt 0 1/2) |
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| 305 | #+(or abcl allegro clisp lispworks) 0 |
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| 306 | #+(or cmu sbcl) 0.0) |
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| 307 | |
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| 308 | (deftest expt.15 |
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| 309 | (expt 1 1/2) |
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| 310 | #+(or clisp abcl) 1 |
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| 311 | #-(or clisp abcl) 1.0) |
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| 312 | |
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| 313 | (deftest expt.16 |
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| 314 | (expt 9 1/2) |
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| 315 | #+clisp 3 |
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| 316 | #-clisp 3.0) |
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| 317 | |
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| 318 | (deftest expt.17 |
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| 319 | (expt -9 1/2) |
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| 320 | #+clisp #c(0 3) |
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| 321 | #+(or allegro sbcl cmu) #c(1.8369095e-16 3.0) |
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| 322 | #+abcl #c(1.8369701e-16 3.0)) |
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| 323 | |
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| 324 | (deftest expt.18 |
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| 325 | (expt -8 1/3) |
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| 326 | #c(1.0 1.7320508)) |
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| 327 | |
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| 328 | (deftest expt.19 |
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| 329 | (expt #c(-7 24) 1/2) |
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| 330 | #+clisp #c(3 4) |
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| 331 | #-clisp #c(3.0 4.0)) |
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| 332 | |
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| 333 | (deftest expt.20 |
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| 334 | (expt 729 1/6) |
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| 335 | #+clisp 3 |
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| 336 | #-clisp 3.0) |
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| 337 | |
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| 338 | (deftest expt.21 |
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| 339 | (expt -3 -1) |
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| 340 | -1/3) |
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| 341 | |
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| 342 | (deftest expt.22 |
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| 343 | (expt #c(3 4) -1) |
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| 344 | #c(3/25 -4/25)) |
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| 345 | |
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| 346 | (deftest expt.23 |
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| 347 | (expt 14 #c(1.0 1.0)) |
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| 348 | #-(or clisp allegro) #c(-12.269101 6.743085) |
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| 349 | #+(or clisp allegro) #c(-12.269099 6.7430854)) |
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| 350 | |
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| 351 | (deftest expt.24 |
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| 352 | (expt 0.0 4) |
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| 353 | 0.0) |
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| 354 | |
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| 355 | (deftest expt.25 |
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| 356 | (expt #c(0 0.0) 4) |
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| 357 | #c(0.0 0.0)) |
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| 358 | |
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| 359 | (deftest expt.26 |
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| 360 | (expt #c(0 0.0) 4.0) |
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| 361 | #c(0.0 0.0)) |
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| 362 | |
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| 363 | (deftest log.1 |
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| 364 | (typep (log 17d0 10) 'double-float) |
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| 365 | t) |
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| 366 | |
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| 367 | (deftest log.2 |
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| 368 | (typep (log 17 10d0) 'double-float) |
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| 369 | t) |
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| 370 | |
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| 371 | (deftest log.3 |
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| 372 | (log 17 10) |
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| 373 | #+(and abcl java-1.4) 1.2304488 |
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| 374 | #+(and abcl (or java-1.5 java-1.6)) 1.230449 |
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| 375 | #+(or allegro clisp cmu sbcl) 1.230449 |
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| 376 | #+lispworks #.(log 17d0 10d0)) |
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| 377 | |
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| 378 | (deftest log.4 |
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| 379 | (log 17.0 10.0) |
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| 380 | #+(and abcl java-1.4) 1.2304488 |
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| 381 | #+(and abcl (or java-1.5 java-1.6)) 1.230449 |
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| 382 | #+(or cmu sbcl) 1.2304488 |
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| 383 | #+(or allegro clisp) 1.230449 |
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| 384 | #+lispworks #.(log 17d0 10d0)) |
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| 385 | |
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| 386 | (deftest log.5 |
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| 387 | (log 17d0 10) |
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| 388 | #+(and abcl java-1.4) 1.2304489042913307d0 |
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| 389 | #+(and abcl (or java-1.5 java-1.6)) #.(log 17d0 10d0) |
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| 390 | #+(or allegro clisp lispworks) #.(log 17d0 10d0) |
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| 391 | #-(or abcl allegro clisp lispworks) 1.2304489042913307d0) |
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| 392 | |
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| 393 | (deftest log.6 |
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| 394 | (log 17 10d0) |
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| 395 | #+(and abcl java-1.4) 1.2304489149763256d0 |
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| 396 | #+(and abcl (or java-1.5 java-1.6)) #.(log 17d0 10d0) |
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| 397 | #+(or allegro clisp lispworks) #.(log 17d0 10d0) |
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| 398 | #-(or abcl allegro clisp lispworks) 1.2304489149763256d0) |
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| 399 | |
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| 400 | (deftest log.7 |
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| 401 | (log 17d0 10d0) |
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| 402 | 1.2304489213782739d0) |
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| 403 | |
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| 404 | (deftest pi.1 |
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| 405 | pi |
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| 406 | #+clisp 3.1415926535897932385l0 |
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| 407 | #-clisp 3.141592653589793d0) |
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| 408 | |
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| 409 | (deftest tan.1 |
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| 410 | (tan 1) |
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| 411 | #+lispworks 1.5574077246549023 |
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| 412 | #-lispworks 1.5574077) |
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| 413 | |
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| 414 | (deftest tan.2 |
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| 415 | (tan (- (/ pi 2) 0.0001)) |
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| 416 | #+(or abcl allegro cmu sbcl) 10000.0002192818d0 |
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| 417 | #+clisp 10000.000219287924741l0 |
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| 418 | #+lispworks 9999.999966661644) |
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| 419 | |
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| 420 | (deftest tan.3 |
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| 421 | (tan (/ pi 2)) |
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| 422 | #+abcl 1.633123935319537d16 |
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| 423 | #+(or allegro cmu lispworks sbcl) 1.6331778728383844d16 |
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| 424 | #+clisp -3.9867976290042641156l19) |
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| 425 | |
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| 426 | (deftest tan.4 |
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| 427 | (tan (+ (/ pi 2) 0.0001)) |
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| 428 | #+(or abcl allegro cmu sbcl) -10000.000219294045d0 |
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| 429 | #+clisp -10000.000219287919724l0 |
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| 430 | #+lispworks -9999.999966673891d0) |
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| 431 | |
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| 432 | (deftest atanh.1 |
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| 433 | (atanh 2) |
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| 434 | #C(0.54930615 -1.5707964)) |
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| 435 | |
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| 436 | (deftest atanh.2 |
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| 437 | (atanh -2) |
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| 438 | #C(-0.54930615 1.5707964)) |
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| 439 | |
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| 440 | (deftest truncate.1 |
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| 441 | (truncate least-positive-single-float) |
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| 442 | 0 #.least-positive-single-float) |
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| 443 | |
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| 444 | (deftest truncate.2 |
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| 445 | (truncate least-positive-double-float) |
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| 446 | 0 #.least-positive-double-float) |
|---|
| 447 | |
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| 448 | (deftest truncate.3 |
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| 449 | (signals-error (truncate least-positive-single-float 2) 'floating-point-underflow) |
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| 450 | t) |
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| 451 | |
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| 452 | (deftest truncate.4 |
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| 453 | (signals-error (truncate least-positive-double-float 2) 'floating-point-underflow) |
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| 454 | t) |
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| 455 | |
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| 456 | (deftest math.read-from-string.1 |
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| 457 | #+(or cmu sbcl) |
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| 458 | (unwind-protect |
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| 459 | (signals-error (read-from-string "1.0f-1000") 'reader-error) |
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| 460 | (progn |
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| 461 | (ignore-errors (set-floating-point-modes :traps '(:underflow))) |
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| 462 | (restore-default-floating-point-modes))) |
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| 463 | #-(or cmu sbcl) |
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| 464 | (signals-error (read-from-string "1.0f-1000") 'reader-error) |
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| 465 | t) |
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| 466 | |
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| 467 | ;;; Test for http://trac.common-lisp.net/armedbear/ticket/142 |
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| 468 | (define-compiler-test math.logand.1 |
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| 469 | (lambda (switchp) |
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| 470 | (logand |
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| 471 | (if switchp |
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| 472 | nil |
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| 473 | 2) |
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| 474 | 1)) |
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| 475 | :args (nil) |
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| 476 | :results 0) |
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| 477 | |
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| 478 | |
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| 479 | |
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