73 lines
1.6 KiB
JavaScript
73 lines
1.6 KiB
JavaScript
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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2020 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MAIN //
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/**
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* Computes the variance of a strided array using a one-pass textbook algorithm.
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*
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* @param {PositiveInteger} N - number of indexed elements
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* @param {number} correction - degrees of freedom adjustment
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* @param {NumericArray} x - input array
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* @param {integer} stride - stride length
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* @param {NonNegativeInteger} offset - starting index
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* @returns {number} variance
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*
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* @example
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* var floor = require( '@stdlib/math/base/special/floor' );
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*
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* var x = [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ];
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* var N = floor( x.length / 2 );
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*
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* var v = variancetk( N, 1, x, 2, 1 );
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* // returns 6.25
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*/
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function variancetk( N, correction, x, stride, offset ) {
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var S2;
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var ix;
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var S;
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var v;
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var n;
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var i;
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n = N - correction;
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if ( N <= 0 || n <= 0.0 ) {
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return NaN;
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}
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if ( N === 1 || stride === 0 ) {
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return 0.0;
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}
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ix = offset;
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S2 = 0.0;
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S = 0.0;
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for ( i = 0; i < N; i++ ) {
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v = x[ ix ];
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S2 += v * v;
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S += v;
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ix += stride;
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}
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return (S2 - ((S/N)*S)) / n;
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}
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// EXPORTS //
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module.exports = variancetk;
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