lcomplex

Lua complex numbers support module - based on lcomplex (https://web.tecgraf.puc-rio.br/~lhf/ftp/lua/ar/lcomplex-100.tar.gz) and extended for MSVC compilers with limited complex.h support. The numerical precision (double, float, or long double) automatically scales with the settings in luaconf.h.

Creation of Complex Numbers

Complex numbers in Lua are created as userdata.

local c = require("lcomplex")
local z0 = c.new()	-- inits to (0+0i)
local z1 = c.new(2)	-- inits to (2+0i)
local z2 = c.new(2,3)	-- inits to (2+3i)

As an extension to the original lcomplex module, the function cmplx() is introduced, which mimics the corresponding, classical Fortran function with the same name and behaves essentially in the same way as new().

local c = require("lcomplex")
local cmplx = c.cmplx
local z0 = cmplx(2,3)	-- inits to (2+3i)

Available Operators

local c = require("lcomplex")
local cmplx = c.cmplx
local i = c.I

local z1 = cmplx(3,4)
local z2 = cmplx(5,6)

-- Addition
local sum = z1 + z2
-- Subtraction
local sub = z1 - z2
-- Multiplication
local mul = z1 * z2
-- Division
local div = z1 / z2
-- Exponentiation
local expo = i^i
-- Negation
local neg = -z1
-- Equality
print(z1 == z2)
-- Print as String
print(tostring(z1))

Available Functions

atan(z)      log(z)      sqrt(z)     tanh(z)
abs(z)       atanh(z)    pow(z,w)  
acos(z)      conj(z)     proj(z) 
acosh(z)     cos(z)      real(z)  
arg(z)       cosh(z)     sin(z) 
asin(z)      exp(z)      sinh(z)
asinh(z)     imag(z)     tan(z)

Example:

local c = require("lcomplex")
local z0 = c.cmplx(2,3)
print(tostring(c.cosh(z0)))

-- Result:
-- -3.7245455049153+0.51182256998738i

License

See https://github.com/OneLuaPro/lcomplex/blob/master/LICENSE.