CPLXTRIG(3C++)
NAME
cplxtrig − trigonometric functions in the C++ complex number math library
SYNOPSIS
#include <complex.h>
class complex {
public:
friend complex cos(const complex);
friend complex sin(const complex);
friend complex tan(const complex);
friend complex cosh(const complex);
friend complex sinh(const complex);
friend complex tanh(const complex);
friend complex acos(const complex);
friend complex asin(const complex);
friend complex atan(const complex);
... // remainder not shown here
};
DESCRIPTION
These functions are versions of the corresponding floating-point trigonometric math library functions, overloaded for use with complex numbers.
complex z = cos(x)
Returns the complex cosine of complex angle x.
complex z = sin(x)
Returns the complex sine of complex angle x.
complex z = tan(x)
Returns the complex tangent of complex angle x.
complex z = cosh(x)
Returns the complex hyperbolic cosine of complex angle x.
complex z = sinh(x)
Returns the complex hyperbolic sine of complex angle x.
complex z = tanh(x)
Returns the complex hyperbolic tangent of complex angle x.
complex z = acos(x)
Returns the complex angle whose cosine is complex x.
complex z = asin(x)
Returns the complex angle whose sine is complex x.
complex z = atan(x)
Returns the complex angle whose tangent is complex x.
SEE ALSO
cplx.intro(3C++), cartpol(3C++), cplxerr(3C++), cplxexp(3C++), cplxops(3C++), intro(2), Complex Tutorial .
DIAGNOSTICS
sinh(x) and cosh(x)
If the imaginary part of x would cause overflow, returns (0,0). If the real part is large enough to cause overflow, returns a value depending on the sine and cosine of the imaginary part of x:
| x.imag() | x.imag() | returned value |
| sin>=0 | cos>=0 | (HUGE_VAL, HUGE_VAL) |
| sin< 0 | cos>=0 | (HUGE_VAL, −HUGE_VAL) |
| sin>=0 | cos< 0 | (−HUGE_VAL, HUGE_VAL) |
| sin< 0 | cos< 0 | (−HUGE_VAL, −HUGE_VAL) |
In all cases, errno is set to ERANGE (see intro(2)). See also cplxerr(3C++).
SunOS WorkShop_4.2 — Last change: 24 March 1994