How to use '.' in magrittr with numerical formulas

Here is one approach you can use:

ymagn = y %>% {sqrt(Re(.)**2 + Im(.)**2)}
[1] 2.236068 5.000000

The reason your version does not work is because by default the %>% operator provides the output of the left hand side (LHS) as the first argument of the right hand side (RHS).

Under the default circumstances, if you provide . again, in addition to providing it as the first argument, the pipe operator will provide the output in place of .. As you can read in help(`%>%`,"magrittr"), the package authors intend you to use this functionality in this type of way:

iris %>% subset(., 1:nrow(.) %% 2 == 0)

Without the brackets, the code you attempted is evaluated in this way:

ymagn = y %>% sqrt(.,Re(.)**2 + Im(.)**2)

This explains the error reporting 2 arguments.

Using the brackets is called a lambda expression. From help(`%>%`,"magrittr"):

Using lambda expressions with %>%

Each rhs is essentially a one-expression body of a unary function. Therefore defining lambdas in magrittr is very natural, and as the definitions of regular functions: if more than a single expression is needed one encloses the body in a pair of braces, { rhs }. However, note that within braces there are no "first-argument rule": it will be exactly like writing a unary function where the argument name is "." (the dot).

This blog on magrittr http://www.win-vector.com/blog/2018/04/magrittr-and-wrapr-pipes-in-r-an-examination/ that also "introduces" wrapr (i.e. it was new to me ) - describes the problem clearly:

Applying that to the original code snippet:

library(wrapr)
y = c( complex(1, 1.0,2.0), complex(1, 3.0,4.0))
ymagn = y %.>% sqrt(Re(.)**2 + Im(.)**2)
ymagn

[1] 2.236068 5.000000

So wrapr is my new friend.