csinf, csin, csinl
From cppreference.com
Defined in header
<complex.h>
|
||
(1) | (since C99) | |
(2) | (since C99) | |
(3) | (since C99) | |
Defined in header
<tgmath.h>
|
||
#define sin( z )
|
(4) | (since C99) |
1-3)
Computes the complex sine of
z
.
4)
Type-generic macro: If
z
has type
long
double
complex
,
csinl
is called. if
z
has type
double
complex
,
csin
is called, if
z
has type
float
complex
,
csinf
is called. If
z
is real or integer, then the macro invokes the corresponding real function (
sinf
,
sin
,
sinl
). If
z
is imaginary, then the macro invokes the corresponding real version of the function
sinh
, implementing the formula
sin(iy) = i ∙ sinh(y)
, and the return type of the macro is imaginary.
Parameters
z | - | complex argument |
Return value
If no errors occur, the complex sine of
z
.
Errors and special cases are handled as if the operation is implemented by - I * csinh ( I * z )
Notes
The sine is an entire function on the complex plane, and has no branch cuts.
Mathematical definition of the sine is sin z =e iz -e -iz |
2i |
Example
Run this code
#include <stdio.h> #include <math.h> #include <complex.h> int main(void) { double complex z = csin(1); // behaves like real sine along the real line printf("sin(1+0i) = %f%+fi ( sin(1)=%f)\n", creal(z), cimag(z), sin(1)); double complex z2 = csin(I); // behaves like sinh along the imaginary line printf("sin(0+1i) = %f%+fi (sinh(1)=%f)\n", creal(z2), cimag(z2), sinh(1)); }
Output:
sin(1+0i) = 0.841471+0.000000i ( sin(1)=0.841471) sin(0+1i) = 0.000000+1.175201i (sinh(1)=1.175201)
References
- C17 standard (ISO/IEC 9899:2018):
-
- 7.3.5.5 The csin functions (p: 138-139)
-
- 7.25 Type-generic math <tgmath.h> (p: 272-273)
-
- G.7 Type-generic math <tgmath.h> (p: 397)
- C11 standard (ISO/IEC 9899:2011):
-
- 7.3.5.5 The csin functions (p: 191-192)
-
- 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):
-
- 7.3.5.5 The csin 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 cosine
(function) |
(C99)
(C99)
(C99)
|
computes the complex tangent
(function) |
(C99)
(C99)
(C99)
|
computes the complex arc sine
(function) |
(C99)
(C99)
|
computes sine (
sin(x)
)
(function) |
C++ documentation
for
sin
|