/** * @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 float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); var sapxsum = require( '@stdlib/blas/ext/base/sapxsum' ).ndarray; // MAIN // /** * Computes the arithmetic mean of a single-precision floating-point strided array using a one-pass trial mean algorithm. * * ## References * * - Ling, Robert F. 1974. "Comparison of Several Algorithms for Computing Sample Means and Variances." _Journal of the American Statistical Association_ 69 (348). American Statistical Association, Taylor & Francis, Ltd.: 859–66. doi:[10.2307/2286154](https://doi.org/10.2307/2286154). * * @param {PositiveInteger} N - number of indexed elements * @param {Float32Array} x - input array * @param {integer} stride - stride length * @param {NonNegativeInteger} offset - starting index * @returns {number} arithmetic mean * * @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 v = smeanli( N, x, 2, 1 ); * // returns 1.25 */ function smeanli( N, x, stride, offset ) { if ( N <= 0 ) { return NaN; } if ( N === 1 || stride === 0 ) { return x[ offset ]; } return float64ToFloat32( x[ offset ] + float64ToFloat32( sapxsum( N-1, -x[ offset ], x, stride, offset+stride ) / N ) ); // eslint-disable-line max-len } // EXPORTS // module.exports = smeanli;