## Complex arithmetic

Arithmetic operations and most built-in functions support the use of complex arguments. Complex constants are expressed as {real,imag}, where real and imag must be numerical constants. Thus {0,1} represents 'i'. The real and imaginary components of complex value x can be extracted as real(x) and imag(x). The modulus is given by abs(x).

Gnuplot's standard 2D and 3D plot styles can plot only real values; if you need to plot a complex-valued function f(x) with non-zero imaginary components you must choose between plotting real(f(x)) or abs(f(x)). For examples of representing complex values using color, see the http://www.gnuplot.info/demo/complex_trig.htmlcomplex trigonometric function demos (complex_trig.dem)