amath  1.8.5
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csech.c File Reference
#include "prim.h"
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Functions

complex csech (complex z)
 Hyperbolic secant of a complex number. More...
 

Function Documentation

◆ csech()

complex csech ( complex  z)

Hyperbolic secant of a complex number.

Calculated as in Open Office:
https://wiki.openoffice.org/wiki/Documentation/How_Tos/Calc:_IMSECH_function

a+bi
            2.0 * cosh(a) * cos(b)
real  = ---------------------------—
         cosh(2.0 * a) + cos(2.0 * b)
        -2.0 * sinh(2.0 * a) * sin(b)
imag  = ---------------------------—
         cosh(2.0 * a) + cos(2.0 * b)

Definition at line 48 of file csech.c.

References cimag(), cos(), cosh(), cpack(), creal(), sin(), and sinh().

Referenced by ComplexNumber::HypSecant().

49 {
50  complex w;
51  double a, b;
52  double d;
53 
54  a = creal(z);
55  b = cimag(z);
56  d = cosh(2.0 * a) + cos(2.0 * b);
57  w = cpack((2.0 * cosh(a) * cos(b) / d), (-2.0 * sinh(a) * sin(b) / d));
58 
59  return w;
60 }
double sin(double x)
Sine function.
Definition: sin.c:86
double cosh(double x)
Hyperbolic cosine function.
Definition: cosh.c:83
Definition: mathi.h:48
complex cpack(double x, double y)
Pack two real numbers into a complex number.
Definition: prim.c:68
double cimag(complex z)
Imaginary part of complex number.
Definition: prim.c:46
double cos(double x)
Cosine function.
Definition: cos.c:87
double sinh(double x)
Hyperbolic sine function.
Definition: sinh.c:77
double creal(complex z)
Real part of complex number.
Definition: prim.c:38
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