Complex Variables

Complex cmplx(double x, double y)

Returns the complex number x+yi with real part x and imaginary part y.

Macro cmplx_re(Complex z);
Macro cmplx_im(Complex z);

Return the real and imaginary parts of z respectively. Implemented as macros, so can be used on both sides of assignment statements.

Complex cmplx_sum(Complex a, Complex b)

Returns the complex sum a+b of two complex numbers.

Complex cmplx_diff(Complex a, Complex b)

Returns the complex difference a-b of two complex numbers.

Complex cmplx_prod(Complex a, Complex b)

Returns the complex product ab of two complex numbers.

Complex cmplx_times(double a, Complex b)

Returns the complex product ab of a real and a complex number.

Complex cmplx_zero()

Returns the complex zero (0+0i).

Complex cmplx_unit()

Returns the complex unit (1+0i).

Complex cmplx_conj(Complex z)

Returns the complex conjugate (x-yi) of x+yi.

Complex cmplx_div(Complex a, Complex b)

Returns the complex quotient a/b of a and b.

double cmplx_mod(Complex z)

Returns the real modulus z of complex z.

double cmplx_mod2(Complex z)

Returns the real squared modulus of complex z.

Complex cmplx_sqrt(Complex z)

Returns the principal value of the complex square root of complex z.