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Programming-Idioms

  • D
  • Scheme
  • Pascal

Idiom #201 Euclidean norm

Calculate n, the Euclidean norm of data, where data is a list of floating point values.

uses math;
var
  data: array of double;
...
  n := norm(data);
...
n = norm2( data )

data may be a multidimensional array (e.g. data(:,:)). n is the Frobenius norm if data is a 2-dimensional array (matrix).
New implementation...
< > ⌨
Bart 
var
  data: array of double;
...
  n := norm(data);
...
n = norm2( data )
func Euclidean(data []float64) float64 {
	n := 0.0
	for _, val := range data {
		n += val * val
	}
	return math.Sqrt(n)
const n = Math.hypot(...data)
var n = Math.hypot.apply(null, data)
double n = 0d;
for(double value : data) {
	n += value * value;
}
n = Math.sqrt(n);
my $data = [5.0, 4.0, 3.0, 2.0, 1.0];
my $n = gsl_blas_dnrm2(Math::GSL::Vector->new($data)->raw);

np.linalg.norm(adata2[:, 0:3] - adata1[ipc1, 0:3], axis=1)
n = np.linalg.norm(data)
data = Vector[5.0, 4.0, 3.0, 2.0, 1.0]
n = data.norm
fn euclidean(data: Vec<f64>) -> f64 {
    let mut n = 0.0;
    for i in data {
        n += i*i;
    }
    return sqrt(n as f64)
}
let n = euclidean(data);
data := #( 5 4 3 2 1 ).
n := data squared sum sqrt.