Mercurial > octave
annotate scripts/elfun/cosd.m @ 30560:9ed1cf9e446e
doc: Document output for all functions in elfun/ directory (bug #61681)
* acosd.m, acot.m, acotd.m, acoth.m, acsc.m, acscd.m, acsch.m, asec.m,
asecd.m, asech.m, asind.m, atan2d.m, atand.m, cosd.m, cot.m, cotd.m, coth.m,
csc.m, cscd.m, csch.m, sec.m, secd.m, sech.m, sind.m, tand.m:
Document output for all functions in elfun/ directory (bug #61681)
author | Rik <rik@octave.org> |
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date | Mon, 27 Dec 2021 20:04:52 -0800 |
parents | 7854d5752dd2 |
children | 83f9f8bda883 |
rev | line source |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 2006-2021 The Octave Project Developers |
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4 ## |
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5 ## See the file COPYRIGHT.md in the top-level directory of this |
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6 ## distribution or <https://octave.org/copyright/>. |
6239 | 7 ## |
6440 | 8 ## This file is part of Octave. |
6239 | 9 ## |
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10 ## Octave is free software: you can redistribute it and/or modify it |
6440 | 11 ## under the terms of the GNU General Public License as published by |
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12 ## the Free Software Foundation, either version 3 of the License, or |
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13 ## (at your option) any later version. |
6440 | 14 ## |
15 ## Octave is distributed in the hope that it will be useful, but | |
16 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 ## GNU General Public License for more details. |
6239 | 19 ## |
20 ## You should have received a copy of the GNU General Public License | |
7016 | 21 ## along with Octave; see the file COPYING. If not, see |
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22 ## <https://www.gnu.org/licenses/>. |
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23 ## |
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24 ######################################################################## |
6239 | 25 |
26 ## -*- texinfo -*- | |
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27 ## @deftypefn {} {@var{y} =} cosd (@var{x}) |
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28 ## Compute the cosine for each element of @var{x} in degrees. |
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29 ## |
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30 ## The function is more accurate than @code{cos} for large values of @var{x} |
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31 ## and for multiples of 90 degrees (@code{@var{x} = 90 + 180*n} with n an |
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32 ## integer) where @code{cosd} returns 0 rather than a small value on the order |
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33 ## of eps. |
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34 ## @seealso{acosd, cos} |
6239 | 35 ## @end deftypefn |
36 | |
37 function y = cosd (x) | |
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38 |
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39 if (nargin < 1) |
6239 | 40 print_usage (); |
41 endif | |
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42 |
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43 if (! isnumeric (x)) |
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44 error ("cosd: X must be numeric"); |
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45 endif |
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46 |
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47 ## Advance phase by 90 degrees to transform sin to cos and use sind(). |
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48 y = sind (x + 90); |
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49 |
6239 | 50 endfunction |
51 | |
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52 |
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53 %!assert (cosd (10:20:360), cos ([10:20:360] * pi/180), 5*eps) |
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54 %!assert (cosd ([-270, -90, 90, 270]) == 0) |
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55 %!assert (cosd ([-360, -180, 0, 180, 360]), [1, -1, 1, -1, 1]) |
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56 %!assert (cosd ([-Inf, NaN, +Inf, 0]), [NaN, NaN, NaN, 1]) |
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57 %!assert (cosd (+23) == cosd (-23)) |
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58 %!assert (cosd (1e6), 0.17364817766693033, 5*eps) |
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59 %!assert (cosd (90 + 180i), -i*sinh (pi)) |
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60 %!assert (cosd (1e6 + 180i), 2.01292156189451577 + 11.3732880565446539i, -eps) |
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61 |
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62 %!error <Invalid call> cosd () |
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63 %!error <X must be numeric> cosd ("abc") |