Basic Complex Functions

Basic complex functions (Matlab style)

Real(z)
Imag(z)
angle(z)

Arguments

z

Vector or matrix of real or complex numbers

Details

These are just Matlab names for the corresponding functions in R. The angle function is simply defined as atan2(Im(z), Re(z)).

Value

returning real or complex values; angle returns in radians.

Note

The true Matlab names are real, imag, and conj, but as real was taken in R, all these beginnings are changed to capitals.

The function Mod has no special name in Matlab; use abs() instead.

See also

Mod, abs

Examples

z <- c(0, 1, 1+1i, 1i)
Real(z)   # Re(z)
#> [1] 0 1 1 0
Imag(z)   # Im(z)
#> [1] 0 0 1 1
Conj(z)   # Conj(z)
#> [1] 0+0i 1+0i 1-1i 0-1i
abs(z)    # Mod(z)
#> [1] 0.000000 1.000000 1.414214 1.000000
angle(z)
#> [1] 0.0000000 0.0000000 0.7853982 1.5707963