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