ndarray.js (2245B)
1 /** 2 * @license Apache-2.0 3 * 4 * Copyright (c) 2020 The Stdlib Authors. 5 * 6 * Licensed under the Apache License, Version 2.0 (the "License"); 7 * you may not use this file except in compliance with the License. 8 * You may obtain a copy of the License at 9 * 10 * http://www.apache.org/licenses/LICENSE-2.0 11 * 12 * Unless required by applicable law or agreed to in writing, software 13 * distributed under the License is distributed on an "AS IS" BASIS, 14 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 15 * See the License for the specific language governing permissions and 16 * limitations under the License. 17 */ 18 19 'use strict'; 20 21 // MODULES // 22 23 var sumpw = require( './sumpw.js' ); 24 25 26 // MAIN // 27 28 /** 29 * Computes the sum of double-precision floating-point strided array elements, ignoring `NaN` values and using pairwise summation. 30 * 31 * ## Method 32 * 33 * - This implementation uses pairwise summation, which accrues rounding error `O(log2 N)` instead of `O(N)`. The recursion depth is also `O(log2 N)`. 34 * 35 * ## References 36 * 37 * - Higham, Nicholas J. 1993. "The Accuracy of Floating Point Summation." _SIAM Journal on Scientific Computing_ 14 (4): 783–99. doi:[10.1137/0914050](https://doi.org/10.1137/0914050). 38 * 39 * @param {PositiveInteger} N - number of indexed elements 40 * @param {Float64Array} x - input array 41 * @param {integer} strideX - `x` stride length 42 * @param {NonNegativeInteger} offsetX - `x` starting index 43 * @param {Float64Array} out - output array 44 * @param {integer} strideOut - `out` stride length 45 * @param {NonNegativeInteger} offsetOut - `out` starting index 46 * @returns {Float64Array} output array 47 * 48 * @example 49 * var Float64Array = require( '@stdlib/array/float64' ); 50 * var floor = require( '@stdlib/math/base/special/floor' ); 51 * 52 * var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0, NaN, NaN ] ); 53 * var out = new Float64Array( 2 ); 54 * 55 * var N = floor( x.length / 2 ); 56 * 57 * var v = dnannsumpw( N, x, 2, 1, out, 1, 0 ); 58 * // returns <Float64Array>[ 5.0, 4 ] 59 */ 60 function dnannsumpw( N, x, strideX, offsetX, out, strideOut, offsetOut ) { 61 out[ offsetOut ] = 0.0; 62 out[ offsetOut+strideOut ] = 0; 63 sumpw( N, x, strideX, offsetX, out, strideOut, offsetOut ); 64 return out; 65 } 66 67 68 // EXPORTS // 69 70 module.exports = dnannsumpw;