4 #include "base/cl_sysdep.h"
7 #include "cln/complex.h"
12 #include "complex/cl_C.h"
17 const cl_N tanh (const cl_N& x)
20 // x reell -> (/ (sinh x) (cosh x))
21 // x = a+bi -> (/ (complex (* (sinh a) (cos b)) (* (cosh a) (sin b)))
22 // (complex (* (cosh a) (cos b)) (* (sinh a) (sin b))) )
25 var cosh_sinh_t hyp = cosh_sinh(x);
26 return hyp.sinh / hyp.cosh;
30 var const cl_R& a = realpart(x);
31 var const cl_R& b = imagpart(x);
32 var cos_sin_t trig_b = cos_sin(b); // cos(b), sin(b) errechnen
33 var cosh_sinh_t hyp_a = cosh_sinh(a); // cosh(a), sinh(a) errechnen
35 complex_C(hyp_a.sinh * trig_b.cos, // sinh(a)*cos(b)
36 hyp_a.cosh * trig_b.sin // cosh(a)*sin(b), nicht Fixnum 0
38 / complex(hyp_a.cosh * trig_b.cos, // cosh(a)*cos(b)
39 hyp_a.sinh * trig_b.sin // sinh(a)*sin(b)