#define cos( z )
(4) (since C99)1-3) Computes the complex cosine of z.
Type-generic macro: If
z
has type
long double complex,
ccosl
is called. if
z
has type
double complex,
ccos
is called, if
z
has type
float complex,
ccosf
is called. If
z
is real or integer, then the macro invokes the corresponding real function (
cosf,
cos,
cosl). If
z
is imaginary, then the macro invokes the corresponding real version of the function
cosh, implementing the formula
cos(iy) = cosh(y), and the return type is real.
[edit] Parameters [edit] Return valueIf no errors occur, the complex cosine of z is returned.
Errors and special cases are handled as if the operation is implemented by ccosh(I*z).
[edit] NotesThe cosine is an entire function on the complex plane, and has no branch cuts.
Mathematical definition of the cosine is
cos z = [edit] Example#include <stdio.h>
#include <math.h>
#include <complex.h>
int main(void)
{
double complex z = ccos(1); // behaves like real cosine along the real line
printf("cos(1+0i) = %f%+fi ( cos(1)=%f)\n", creal(z), cimag(z), cos(1));
double complex z2 = ccos(I); // behaves like real cosh along the imaginary line
printf("cos(0+1i) = %f%+fi (cosh(1)=%f)\n", creal(z2), cimag(z2), cosh(1));
}
Output:
cos(1+0i) = 0.540302-0.000000i ( cos(1)=0.540302) cos(0+1i) = 1.543081-0.000000i (cosh(1)=1.543081)[edit] References
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