Exceptions indicated.
sicmutils.complex
This namespace provides a number of functions and constructors for working with [[Complex]] numbers in Clojure and Clojurescript, and installs [[Complex]] into the SICMUtils generic arithmetic system.
For other numeric extensions, see sicmutils.ratio
and [[sicmutils.numbers]].
This namespace provides a number of functions and constructors for working with [[Complex]] numbers in Clojure and Clojurescript, and installs [[Complex]] into the SICMUtils generic arithmetic system. For other numeric extensions, see [[sicmutils.ratio]] and [[sicmutils.numbers]].
complexclj/s
(complex re)(complex re im)Returns a [[Complex]] number with the supplied real part re and imaginary
part im. im defaults to 0.
Returns a [[Complex]] number with the supplied real part `re` and imaginary part `im`. `im` defaults to 0.
complex?clj/s
(complex? a)Returns true if a is an instance of [[Complex]], false otherwise.
Returns true if `a` is an instance of [[Complex]], false otherwise.
gaussian-integer?clj/s
(gaussian-integer? z)Returns true if z is a Gaussian
integer, ie, a complex entry
with integral real and imaginary components.
gaussian-integer? will return true if the real and imaginary components
are within epsilon of integral values. See value/almost-integral? for
details.
Returns true if `z` is a [Gaussian integer](https://en.wikipedia.org/wiki/Gaussian_integer), ie, a complex entry with integral real and imaginary components. [[gaussian-integer?]] will return true if the real and imaginary components are within `epsilon` of integral values. See [[value/almost-integral?]] for details.
roundclj/s
(round z)Generates a Gaussian integer
from the complex number z by rounding the real and imaginary components of
z to their nearest integral values.
Generates a [Gaussian integer](https://en.wikipedia.org/wiki/Gaussian_integer) from the complex number `z` by rounding the real and imaginary components of `z` to their nearest integral values.
ZEROclj/s
A [[Complex]] value equal to 0 (south pole on the Riemann Sphere).
A [[Complex]] value equal to 0 (south pole on the Riemann Sphere).
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