ccosf, ccos, ccosl
From cppreference.com
Defined in header
<complex.h>
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(1) | (since C99) | |
(2) | (since C99) | |
(3) | (since C99) | |
Defined in header
<tgmath.h>
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||
#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 =e iz +e -iz |
2 |
Example
Run this code
#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
|