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| [457,457,100,38,38,100,4,4,100,457,457,100,"7c81bdde0a34609a9e471d8d6fd14fd884482ed8","2024-03-23 16:55:48 -0400"] |
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| <span class="cline-any cline-neutral"> </span></td><td class="text"><pre class="prettyprint lang-js">/** | ||
| * @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 abs = require( '@stdlib/math/base/special/abs' ); | ||
| | ||
| | ||
| // MAIN // | ||
| | ||
| /** | ||
| * Computes the sum of double-precision floating-point strided array elements using a second-order iterative Kahan–Babuška algorithm. | ||
| * | ||
| * ## Method | ||
| * | ||
| * - This implementation uses a second-order iterative Kahan–Babuška algorithm, as described by Klein (2005). | ||
| * | ||
| * ## References | ||
| * | ||
| * - Klein, Andreas. 2005. "A Generalized Kahan-Babuška-Summation-Algorithm." _Computing_ 76 (3): 279–93. doi:[10.1007/s00607-005-0139-x](https://doi.org/10.1007/s00607-005-0139-x). | ||
| * | ||
| * @param {PositiveInteger} N - number of indexed elements | ||
| * @param {Float64Array} x - input array | ||
| * @param {integer} stride - stride length | ||
| * @returns {number} sum | ||
| * | ||
| * @example | ||
| * var Float64Array = require( '@stdlib/array/float64' ); | ||
| * | ||
| * var x = new Float64Array( [ 1.0, -2.0, 2.0 ] ); | ||
| * var N = x.length; | ||
| * | ||
| * var v = dsumkbn2( N, x, 1 ); | ||
| * // returns 1.0 | ||
| */ | ||
| function dsumkbn2( N, x, stride ) { | ||
| var sum; | ||
| var ccs; | ||
| var ix; | ||
| var cs; | ||
| var cc; | ||
| var v; | ||
| var t; | ||
| var c; | ||
| var i; | ||
| | ||
| if ( N <= 0 ) { | ||
| return 0.0; | ||
| } | ||
| if ( N === 1 || stride === 0 ) { | ||
| return x[ 0 ]; | ||
| } | ||
| if ( stride < 0 ) { | ||
| ix = (1-N) * stride; | ||
| } else { | ||
| ix = 0; | ||
| } | ||
| sum = 0.0; | ||
| ccs = 0.0; // second order correction term for lost low order bits | ||
| cs = 0.0; // first order correction term for lost low order bits | ||
| for ( i = 0; i < N; i++ ) { | ||
| v = x[ ix ]; | ||
| t = sum + v; | ||
| if ( abs( sum ) >= abs( v ) ) { | ||
| c = (sum-t) + v; | ||
| } else { | ||
| c = (v-t) + sum; | ||
| } | ||
| sum = t; | ||
| t = cs + c; | ||
| if ( abs( cs ) >= abs( c ) ) { | ||
| cc = (cs-t) + c; | ||
| } else { | ||
| cc = (c-t) + cs; | ||
| } | ||
| cs = t; | ||
| ccs += cc; | ||
| ix += stride; | ||
| } | ||
| return sum + cs + ccs; | ||
| } | ||
| | ||
| | ||
| // EXPORTS // | ||
| | ||
| module.exports = dsumkbn2; | ||
| </pre></td></tr></table></pre> | ||
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