ccosf, ccos, ccosl

< c‎ | numeric‎ | complex

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Complex number arithmetic
Types and the imaginary constant
Manipulation
Power and exponential functions
Trigonometric functions
 ccos csin ctan
Hyperbolic functions

 Defined in header `` float complex       ccosf( float complex z ); (1) (since C99) double complex      ccos( double complex z ); (2) (since C99) long double complex ccosl( long double complex z ); (3) (since C99) Defined in header `` #define cos( z ) (4) (since C99)
1-3) Computes the complex cosine of `z`.
4) 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.

Parameters

 z - complex argument

Return value

If 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).

Notes

The cosine is an entire function on the complex plane, and has no branch cuts.

Mathematical definition of the cosine is cos z =
 eiz+e-iz 2

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)```

References

• C11 standard (ISO/IEC 9899:2011):
• 7.3.5.4 The ccos functions (p: 191)
• 7.25 Type-generic math <tgmath.h> (p: 373-375)
• G.7 Type-generic math <tgmath.h> (p: 545)
• C99 standard (ISO/IEC 9899:1999):
• 7.3.5.4 The ccos functions (p: 173)
• 7.22 Type-generic math <tgmath.h> (p: 335-337)
• G.7 Type-generic math <tgmath.h> (p: 480)