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* @license Apache-2.0
*
* Copyright (c) 2018 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var sqrt = require( '@stdlib/math/base/special/sqrt' );
// MAIN //
/**
* Normalizes a vector.
*
* @private
* @param {NonNegativeInteger} N - number of elements
* @param {NumericArray} X - strided array
* @param {integer} strideX - stride
* @param {NonNegativeInteger} offsetX - index offset
* @returns {NumericArray} input array
*/
function normalize( N, X, strideX, offsetX ) { // TODO: eventually remove this function once project has implemented comparable functionality as a standalone package (e.g., BLAS, which may avoid the naive approach susceptible to overflow/overflow due to summing squares and computing the square root)
var xi;
var m;
var v;
var i;
m = 0.0;
// Compute the vector magnitude...
xi = offsetX;
for ( i = 0; i < N; i++ ) {
v = X[ xi ];
m += v * v;
xi += strideX;
}
m = sqrt( m );
// Normalize the vector...
xi = offsetX;
for ( i = 0; i < N; i++ ) {
X[ xi ] /= m;
}
return X;
}
// EXPORTS //
module.exports = normalize;
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