/** * @license Apache-2.0 * * Copyright (c) 2020 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' ); var abs = require( '@stdlib/math/base/special/abs' ); var pow = require( '@stdlib/math/base/special/pow' ); var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); // MAIN // /** * Computes the L2-norm of a single-precision floating-point vector. * * @param {PositiveInteger} N - number of values over which to compute the L2-norm * @param {Float32Array} x - input array * @param {integer} stride - stride length * @param {NonNegativeInteger} offset - starting index * @returns {number} L2-norm * * @example * var Float32Array = require( '@stdlib/array/float32' ); * var floor = require( '@stdlib/math/base/special/floor' ); * * var x = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] ); * var N = floor( x.length / 2 ); * * var z = snrm2( N, x, 2, 1 ); * // returns 5.0 */ function snrm2( N, x, stride, offset ) { var scale; var ssq; var ax; var ix; var i; if ( N <= 0 ) { return 0.0; } if ( N === 1 ) { return abs( x[ offset ] ); } ix = offset; scale = 0.0; ssq = 1.0; for ( i = 0; i < N; i++ ) { if ( x[ ix ] !== 0.0 ) { ax = abs( x[ ix ] ); if ( scale < ax ) { ssq = float64ToFloat32( 1.0 + ( ssq * pow( scale/ax, 2 ) ) ); scale = ax; } else { ssq = float64ToFloat32( ssq + pow( ax/scale, 2 ) ); } } ix += stride; } return float64ToFloat32( scale * sqrt( ssq ) ); } // EXPORTS // module.exports = snrm2;