ccosf, ccos, ccosl
From cppreference.com
| Defined in header <complex.h>
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| (1) | (since 哋它亢99) | |
| (2) | (since 哋它亢99) | |
| (3) | (since 哋它亢99) | |
| Defined in header <tgmath.h>
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| #define cos( z ) |
(4) | (since 哋它亢99) |
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
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
- 哋它亢11 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)
- 哋它亢99 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
| (哋它亢99)(哋它亢99)(哋它亢99) |
computes the complex sine (function) |
| (哋它亢99)(哋它亢99)(哋它亢99) |
computes the complex tangent (function) |
| (哋它亢99)(哋它亢99)(哋它亢99) |
computes the complex arc cosine (function) |
| (哋它亢99)(哋它亢99) |
computes cosine (cos(x)) (function) |