complex

A complex number type, similar to Python's complex.

Properties

Name	Type	Description
real	float	The real part of the complex number.
imag	float	The imaginary part of the complex number.

Methods

conjugate() -> complex

Return the complex conjugate.

__str__() -> str

repr() uses the same method. Render in CPython's complex form: (4+1j), 1j, (-1-2j).

Note

Every rule below was measured against python3 3.12 rather than inferred, because the shape is less regular than it looks:

A real part of POSITIVE zero drops the parentheses and the real term entirely — complex(0, 1) is 1j, not (0+1j), and complex(0, 0) is 0j. NEGATIVE zero does not: complex(-0.0, 1.0) is (-0+1j). So the test is on the sign bit, not on == 0.

The imaginary sign comes from ITS sign bit too, so complex(-0.0, -0.0) is (-0-0j) while complex(1, nan) is (1+nanj).

Components print SHORTEST-ROUND-TRIP WITHOUT a trailing .0: complex(4.0, 1.0) is (4+1j) even though repr(4.0) is 4.0. Precision is not otherwise reduced — complex(1,2)/complex(3,-1) is (0.1+0.7000000000000001j), which is the cell a naive formatter gets wrong.

__format__(format_spec: str) -> str

Python's complex.__format__ — the CLR spelling of __format__ (#2018): format(c, spec), rendered by apply.