EUCLID Function

Returns the Euclidean norm of the nonmissing arguments.

Category:

Descriptive Statistics

Syntax

EUCLID(value-1 <,value-2 ...> )

specifies a numeric constant, variable, or expression.

If all arguments have missing values, then the result is a missing value. Otherwise, the result is the Euclidean norm of the nonmissing values.

In the following example,

x 1, x 2, . . ., x n

are the values of the nonmissing arguments.

\begin{matrix} E U C L I D (x 1, x 2, . . ., x n) = \sqrt[]{x 1^{2} + x 2^{2} + . . . + x n^{2}} \end{matrix}

The following example returns the Euclidean norm of the nonmissing arguments.

data _null_;
   x=euclid(.,3,0,.q,-4);
   put x=;
run;

SAS writes the following output to the log:

x=5

The following example uses a variable list to calculate the Euclidean norm.

data _null_;
   x1 = 1;
   x2 = 3;
   x3 = 4;
   x4 = 3;
   x5 = 1;
   x = euclid(of x1-x5);
   put x=;
run;

SAS writes the following output to the log:

x=6