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1 ## Copyright (C) 1994, 1996, 1997, 2000, 2004, 2005, 2006, 2007 |
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2 ## John W. Eaton |
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3 ## |
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4 ## This file is part of Octave. |
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5 ## |
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6 ## Octave is free software; you can redistribute it and/or modify it |
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7 ## under the terms of the GNU General Public License as published by |
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8 ## the Free Software Foundation; either version 3 of the License, or (at |
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9 ## your option) any later version. |
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10 ## |
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11 ## Octave is distributed in the hope that it will be useful, but |
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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14 ## 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 Octave; see the file COPYING. If not, see |
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18 ## <http://www.gnu.org/licenses/>. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Mapping Function} {} acoth (@var{x}) |
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22 ## Compute the inverse hyperbolic cotangent of each element of @var{x}. |
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23 ## @end deftypefn |
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24 |
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25 ## Author: jwe |
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26 |
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27 function w = acoth (z) |
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28 |
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29 if (nargin != 1) |
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30 print_usage (); |
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31 endif |
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32 |
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33 w = atanh (1 ./ z); |
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34 |
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35 endfunction |
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36 |
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37 %!test |
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38 %! rt2 = sqrt (2); |
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39 %! rt3 = sqrt (3); |
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40 %! v = -i*[pi/6, pi/4, pi/3, -pi/3, -pi/4, -pi/6]; |
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41 %! x = i*[rt3, 1, rt3/3, -rt3/3, -1, -rt3]; |
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42 %! assert(all (abs (acoth (x) - v) < sqrt (eps))); |
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43 |
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44 %!error acoth (); |
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45 |
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46 %!error acoth (1, 2); |
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47 |
