| Defined in header <complex> | ||||
|---|---|---|---|---|
|
Computes complex sine of a complex value z.
Parameters
| z | - | complex value |
Return value
If no errors occur, the complex sine of z is returned.
Errors and special cases are handled as if the operation is implemented by -i * std::sinh(i*z), where i is the imaginary unit.
Notes
The sine is an entire function on the complex plane, and has no branch cuts. Mathematical definition of the sine is sin z =
| eiz -e-iz |
| 2i |
Example
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | #include <iostream>#include <cmath>#include <complex> int main(){ std::cout << std::fixed; std::complex<double> z(1, 0); // behaves like real sine along the real line std::cout << "sin" << z << " = " << std::sin(z) << " ( sin(1) = " << std::sin(1) << ")\n"; std::complex<double> z2(0, 1); // behaves like sinh along the imaginary line std::cout << "sin" << z2 << " = " << std::sin(z2) << " (sinh(1) = " << std::sinh(1) << ")\n";} |
Output:
1 2 | sin(1.000000,0.000000) = (0.841471,0.000000) ( sin(1) = 0.841471)sin(0.000000,1.000000) = (0.000000,1.175201) (sinh(1) = 1.175201) |
See also
| computes cosine of a complex number (cos(z)) (function template) | |
| computes tangent of a complex number (tan(z)) (function template) | |
| (C++11) | computes arc sine of a complex number (arcsin(z)) (function template) |
| computes sine (sin(x)) (function) | |
applies the function std::sin to each element of valarray (function template) | |
C documentation for csin | |
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