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* @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 gsumkbn = require( '@stdlib/blas/ext/base/gsumkbn' ).ndarray;
// MAIN //
/**
* Computes the arithmetic mean of a strided array using the Kahan–Babuška–Neumaier algorithm.
*
* ## Method
*
* - This implementation uses the "Kahan–Babuška–Neumaier algorithm" for improved numerical stability.
*
* ## References
*
* - Neumaier, Arnold. 1974. "Rounding Error Analysis of Some Methods for Summing Finite Sums." _Zeitschrift Für Angewandte Mathematik Und Mechanik_ 54 (1): 39–51. doi:[10.1002/zamm.19740540106](https://doi.org/10.1002/zamm.19740540106).
*
* @param {PositiveInteger} N - number of indexed elements
* @param {NumericArray} x - input array
* @param {integer} strideX - stride length
* @param {NonNegativeInteger} offsetX - starting index
* @returns {number} arithmetic mean
*
* @example
* var x = [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ];
*
* var v = meankbn( 4, x, 2, 1 );
* // returns 1.25
*/
function meankbn( N, x, strideX, offsetX ) {
if ( N <= 0 ) {
return NaN;
}
return gsumkbn( N, x, strideX, offsetX ) / N;
}
// EXPORTS //
module.exports = meankbn;
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