CPLXEXP(3CC4)CPLXEXP(3CC4)NAME
cplxexp, exp, log, log10, pow, sqrt - functions in the C++ complex num‐
ber math library
SYNOPSIS
#include <complex.h>
class complex {
public:
friend complex exp(const complex);
friend complex log(const complex);
friend complex log10(const complex);
friend complex pow(double base, const complex exp);
friend complex pow(const complex base, int exp);
friend complex pow(const complex base, double exp);
friend complex pow(const complex base, const complex exp);
friend complex sqrt(const complex);
... // remainder not shown here
};
DESCRIPTION
These functions are versions of the corresponding floating-point math
library functions, overloaded for use with complex numbers.
complex z = exp(x)
Returns e raised to the x power, where x is a complex number,
and e is the base of the natural logarithms.
complex z = log(x)
Returns the natural logarithm (base e) of x, where x is a com‐
plex number.
complex z = log10(x)
Returns the common logarithm (base 10) of x, where x is a com‐
plex number.
complex z = pow(x, y)
Returns x raised to the y power, where x or y (or both) are com‐
plex numbers. The library provides versions of this function
optimized for various combinations of integer, floating-point,
and complex arguments.
complex z = sqrt(x)
Returns the square root of x, where x is a complex number. The
real part of the result will be non-negative.
SEE ALSOcplx.intro(3CC4), cartpol(3CC4), cplxerr(3CC4), cplxops(3CC4), cplx‐
trig(3CC4), intro(2), C++ Library Reference Manual, Chapter 2, "The
Complex Arithmetic Library."
DIAGNOSTICSexp(x) If the real part of x is small enough or the imaginary part is
large enough to cause overflow, exp() 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:
In all cases, errno is set to ERANGE (see intro(2)).
log(x), log10(x)
If x is (0,0), returns (-HUGE_VAL, 0), sets errno to EDOM (see
intro(2)), and generates a SING error (see cplxerr(3CC4)).
07 August 1997 CPLXEXP(3CC4)
