Defined in header <complex.h> | ||
---|---|---|
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 <tgmath.h> | ||
#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)
See also
(C99)(C99)(C99) | computes the complex sine (function) |
(C99)(C99)(C99) | computes the complex tangent (function) |
(C99)(C99)(C99) | computes the complex arc cosine (function) |
(C99)(C99) | computes cosine (cos(x)) (function) |
C++ documentation for cos |
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