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[467,467,100,36,36,100,4,4,100,467,467,100,"a70e23d3b79c108d39c8b19392172f4776c9b043","2024-03-26 09:18:42 -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' ); | ||
var sum = require( './ndarray.js' ); | ||
| ||
| ||
// MAIN // | ||
| ||
/** | ||
* Computes the sum of absolute values (L1 norm) of double-precision floating-point strided array elements using pairwise summation. | ||
* | ||
* ## Method | ||
* | ||
* - This implementation uses pairwise summation, which accrues rounding error `O(log2 N)` instead of `O(N)`. The recursion depth is also `O(log2 N)`. | ||
* | ||
* ## References | ||
* | ||
* - 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). | ||
* | ||
* @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 = dasumpw( N, x, 1 ); | ||
* // returns 5.0 | ||
*/ | ||
function dasumpw( N, x, stride ) { | ||
var ix; | ||
var s; | ||
var i; | ||
| ||
if ( N <= 0 ) { | ||
return 0.0; | ||
} | ||
if ( N === 1 || stride === 0 ) { | ||
return abs( x[ 0 ] ); | ||
} | ||
if ( stride < 0 ) { | ||
ix = (1-N) * stride; | ||
} else { | ||
ix = 0; | ||
} | ||
if ( N < 8 ) { | ||
// Use simple summation... | ||
s = 0.0; | ||
for ( i = 0; i < N; i++ ) { | ||
s += abs( x[ ix ] ); | ||
ix += stride; | ||
} | ||
return s; | ||
} | ||
return sum( N, x, stride, ix ); | ||
} | ||
| ||
| ||
// EXPORTS // | ||
| ||
module.exports = dasumpw; | ||
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