{-| module : Data.Number.Flint.Acb copyright : (c) 2022 Hartmut Monien license : GNU GPL, version 2 or above (see LICENSE) maintainer : hmonien@uni-bonn.de An @Acb@ represents a complex number with error bounds. An @Acb@ consists of a pair of real number balls of type @Arb@, representing the real and imaginary part with separate error bounds. An @Acb@ thus represents a rectangle \([m_1-r_1, m_1+r_1] + [m_2-r_2, m_2+r_2] i\) in the complex plane. This is used instead of a disk or square representation (consisting of a complex floating-point midpoint with a single radius), since it allows implementing many operations more conveniently by splitting into ball operations on the real and imaginary parts. It also allows tracking when complex numbers have an exact (for example exactly zero) real part and an inexact imaginary part, or vice versa. The interface for the @Acb@ type is slightly less developed than that for the @Arb@ type. In many cases, the user can easily perform missing operations by directly manipulating the real and imaginary parts. -} module Data.Number.Flint.Acb ( module Data.Number.Flint.Acb.FFI ) where import Data.Number.Flint.Acb.FFI