// cosh().
// General includes.
#include "cl_sysdep.h"
// Specification.
#include "cln/complex.h"
// Implementation.
#include "cl_C.h"
#include "cln/real.h"
namespace cln {
const cl_N cosh (const cl_N& x)
{
// Methode:
// x reell -> klar
// x = a+bi -> (complex (* (cosh a) (cos b)) (* (sinh a) (sin b)))
if (realp(x)) {
DeclareType(cl_R,x);
return cosh(x);
} else {
DeclareType(cl_C,x);
// x=a+bi
var const cl_R& a = realpart(x);
var const cl_R& b = imagpart(x);
var cos_sin_t trig_b = cos_sin(b); // cos(b), sin(b) errechnen
var cosh_sinh_t hyp_a = cosh_sinh(a); // cosh(a), sinh(a) errechnen
return complex(hyp_a.cosh * trig_b.cos, // cosh(a)*cos(b)
hyp_a.sinh * trig_b.sin // sinh(a)*sin(b)
);
}
}
} // namespace cln
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