Line | |
---|
1 | function Y = sinh(X) |
---|
2 | % SINH Hyperbolic Sine. |
---|
3 | % (Quaternion overloading of standard Matlab function.) |
---|
4 | |
---|
5 | % Copyright © 2006 Stephen J. Sangwine and Nicolas Le Bihan. |
---|
6 | % See the file : Copyright.m for further details. |
---|
7 | |
---|
8 | error(nargchk(1, 1, nargin)), error(nargoutchk(0, 1, nargout)) |
---|
9 | |
---|
10 | if isreal(X) |
---|
11 | |
---|
12 | % X is a real quaternion, and we compute the hyperbolic sine of an |
---|
13 | % isomorphic complex number using the standard Matlab sinh function, |
---|
14 | % then construct a quaternion with the same axis as the original |
---|
15 | % quaternion. |
---|
16 | |
---|
17 | Y = isoquaternion(sinh(isocomplex(X)), X); |
---|
18 | else |
---|
19 | |
---|
20 | % X is a complex quaternion, and therefore we cannot use the method |
---|
21 | % above for real quaternions, because it is not possible to construct |
---|
22 | % an isomorphic complex number. We use instead a fundamental formula |
---|
23 | % for the hyperbolic sine. |
---|
24 | |
---|
25 | Y = (exp(X) - exp(-X)) ./ 2; |
---|
26 | end; |
---|
27 | |
---|
Note: See
TracBrowser
for help on using the repository browser.