Complex 复数

Complex numbers are represented by a dictionary of real and imaginary attributes:

complex( x, y ) — returns a complex number as { re: x, im: y }

complex( x ) — returns a complex number as { re: x, im: 0 }

Real and imaginary part

complex( x, y ).re = x
complex( x, y ).im = y

or with convenience functions:

re( x ) — real part of a real or complex number

real( x ) — real part of a real or complex number

im( x ) — imaginary part of a real or complex number

imag( x ) — imaginary part of a real or complex number

Operator

add( x, y ) — add two real or complex numbers of x+y

add( x, y, z, … ) — add an arbitrary number of real or complex numbers of x+y+z

sub( x, y ) — subtract two real or complex numbers of x-y

mul( x, y ) — multiply two real or complex numbers of x*y

mul( x, y, z, … ) — multiply an arbitrary number of real or complex numbers of x*y*z

div( x, y ) — divide two real or complex numbers of x/y

neg( x ) — negate a real or complex number of -x

inv( x ) — invert a real or complex number of 1/z

pow( x, y ) — power two real or complex numbers of x^y

root( x, y ) — root two real or complex numbers of x^(1/y)

Complex Function 复变函数

Computation