nu.std.cmath

Hybrid surface: complex is a builtin with no module of its own, cmath is its companion function set, so the two co-locate here.

from nu.std.cmath import complex, sqrt, phase, pi

Name	Sort	Signature	Effect	Meaning
complex	Form	`complex.of(real, imag)`	pure	complex number; `.real`/`.imag`, `conjugate()`, arithmetic, `eq`/`ne` (not orderable)

Name	Sort	Signature	Effect	Meaning
sqrt	ScalarQuery	`sqrt(x)`	pure	square root
exp	ScalarQuery	`exp(x)`	pure	`e ** x`
log	ScalarQuery	`log(x, base=None)`	pure	natural log, or log to `base`
log10	ScalarQuery	`log10(x)`	pure	base-10 log
sin	ScalarQuery	`sin(x)`	pure	sine
cos	ScalarQuery	`cos(x)`	pure	cosine
tan	ScalarQuery	`tan(x)`	pure	tangent
asin	ScalarQuery	`asin(x)`	pure	arc sine
acos	ScalarQuery	`acos(x)`	pure	arc cosine
atan	ScalarQuery	`atan(x)`	pure	arc tangent
sinh	ScalarQuery	`sinh(x)`	pure	hyperbolic sine
cosh	ScalarQuery	`cosh(x)`	pure	hyperbolic cosine
tanh	ScalarQuery	`tanh(x)`	pure	hyperbolic tangent
phase	ScalarQuery	`phase(x)`	pure	phase angle in radians -> `Float`
polar	ScalarQuery	`polar(x)`	pure	`(r, phi)` pair -> `Tuple`
rect	ScalarQuery	`rect(r, phi)`	pure	complex from modulus + phase
isnan	ScalarQuery	`isnan(x)`	pure	has a NaN component -> `Bool`
isinf	ScalarQuery	`isinf(x)`	pure	has an infinite component -> `Bool`
isfinite	ScalarQuery	`isfinite(x)`	pure	both components finite -> `Bool`
isclose	ScalarQuery	`isclose(a, b)`	pure	approximately equal -> `Bool`

Name	Sort	Signature	Effect	Meaning
pi	Literal	`pi`	pure	float pi
e	Literal	`e`	pure	float e
tau	Literal	`tau`	pure	float tau (`2*pi`)
inf	Literal	`inf`	pure	float infinity
nan	Literal	`nan`	pure	float NaN
infj	Literal	`infj`	pure	complex infinity
nanj	Literal	`nanj`	pure	complex NaN