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Calculate the L2-norm of a single-precision floating-point vector.
The L2-norm is defined as
import snrm2 from 'https://cdn.jsdelivr.net/gh/stdlib-js/blas-base-snrm2@deno/mod.js';
Computes the L2-norm of a single-precision floating-point vector x
.
import Float32Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float32@deno/mod.js';
var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
var z = snrm2( x.length, x, 1 );
// returns 3.0
The function has the following parameters:
- N: number of indexed elements.
- x: input
Float32Array
. - stride: index increment for
x
.
The N
and stride
parameters determine which elements in the strided array are accessed at runtime. For example, to compute the L2-norm of every other element in x
,
import Float32Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float32@deno/mod.js';
var x = new Float32Array( [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ] );
var z = snrm2( 4, x, 2 );
// returns 5.0
Note that indexing is relative to the first index. To introduce an offset, use typed array
views.
import Float32Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float32@deno/mod.js';
var x0 = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var z = snrm2( 4, x1, 2 );
// returns 5.0
If N
is less than or equal to 0
, the function returns 0
.
Computes the L2-norm of a single-precision floating-point vector using alternative indexing semantics.
import Float32Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float32@deno/mod.js';
var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
var z = snrm2.ndarray( x.length, x, 1, 0 );
// returns 3.0
The function has the following additional parameters:
- offset: starting index for
x
.
While typed array
views mandate a view offset based on the underlying buffer, the offset parameter supports indexing semantics based on a starting index. For example, to calculate the L2-norm for every other value in x
starting from the second value
import Float32Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float32@deno/mod.js';
var x = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var z = snrm2.ndarray( 4, x, 2, 1 );
// returns 5.0
import discreteUniform from 'https://cdn.jsdelivr.net/gh/stdlib-js/random-array-discrete-uniform@deno/mod.js';
import snrm2 from 'https://cdn.jsdelivr.net/gh/stdlib-js/blas-base-snrm2@deno/mod.js';
var opts = {
'dtype': 'float32'
};
var x = discreteUniform( 10, 0, 100, opts );
console.log( x );
var out = snrm2( x.length, x, 1 );
console.log( out );
@stdlib/blas-base/dnrm2
: calculate the L2-norm of a double-precision floating-point vector.@stdlib/blas-base/gnrm2
: calculate the L2-norm of a vector.
This package is part of stdlib, a standard library with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
See LICENSE.
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