Calculate the sum of single-precision floating-point strided array elements using pairwise summation with extended accumulation.
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> Calculate the sum of single-precision floating-point strided array elements using pairwise summation with extended accumulation.
``bash`
npm install @stdlib/blas-ext-base-sdssumpw
`javascript`
var sdssumpw = require( '@stdlib/blas-ext-base-sdssumpw' );
#### sdssumpw( N, x, strideX )
Computes the sum of single-precision floating-point strided array elements using pairwise summation with extended accumulation.
`javascript
var Float32Array = require( '@stdlib/array-float32' );
var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
var v = sdssumpw( x.length, x, 1 );
// returns 1.0
`
The function has the following parameters:
- N: number of indexed elements.
- x: input [Float32Array][@stdlib/array/float32].
- strideX: stride length.
The N and stride parameters determine which elements in the strided array are accessed at runtime. For example, to compute the sum of every other element:
`javascript
var Float32Array = require( '@stdlib/array-float32' );
var x = new Float32Array( [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ] );
var v = sdssumpw( 4, x, 2 );
// returns 5.0
`
Note that indexing is relative to the first index. To introduce an offset, use [typed array][mdn-typed-array] views.
`javascript
var Float32Array = require( '@stdlib/array-float32' );
var x0 = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var v = sdssumpw( 4, x1, 2 );
// returns 5.0
`
#### sdssumpw.ndarray( N, x, strideX, offsetX )
Computes the sum of single-precision floating-point strided array elements using pairwise summation with extended accumulation and alternative indexing semantics.
`javascript
var Float32Array = require( '@stdlib/array-float32' );
var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
var v = sdssumpw.ndarray( 3, x, 1, 0 );
// returns 1.0
`
The function has the following additional parameters:
- offsetX: starting index.
While [typed array][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameter supports indexing semantics based on a starting index. For example, to calculate the sum of every other element starting from the second element:
`javascript
var Float32Array = require( '@stdlib/array-float32' );
var x = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var v = sdssumpw.ndarray( 4, x, 2, 1 );
// returns 5.0
`
- If N <= 0, both functions return 0.0.
- Accumulated intermediate values are stored as double-precision floating-point numbers.
`javascript
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var sdssumpw = require( '@stdlib/blas-ext-base-sdssumpw' );
var x = discreteUniform( 10, -100, 100, {
'dtype': 'float32'
});
console.log( x );
var v = sdssumpw( x.length, x, 1 );
console.log( v );
`
*
`c`
#include "stdlib/blas/ext/base/sdssumpw.h"
#### stdlib_strided_sdssumpw( N, \*X, strideX )
Computes the sum of single-precision floating-point strided array elements using pairwise summation with extended accumulation.
`c
const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f };
float v = stdlib_strided_sdssumpw( 4, x, 1 );
// returns 10.0f
`
The function accepts the following arguments:
- N: [in] CBLAS_INT number of indexed elements.[in] float*
- X: input array.[in] CBLAS_INT
- strideX: stride length.
`c`
float stdlib_strided_sdssumpw( const CBLAS_INT N, const float *X, const CBLAS_INT strideX );
#### stdlib_strided_sdssumpw_ndarray( N, \*X, strideX, offsetX )
Computes the sum of single-precision floating-point strided array elements using pairwise summation with extended accumulation and alternative indexing semantics.
`c
const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f };
float v = stdlib_strided_sdssumpw_ndarray( 4, x, 1, 0 );
// returns 10.0f
`
The function accepts the following arguments:
- N: [in] CBLAS_INT number of indexed elements.[in] float*
- X: input array.[in] CBLAS_INT
- strideX: stride length.[in] CBLAS_INT
- offsetX: starting index.
`c`
float stdlib_strided_sdssumpw_ndarray( const CBLAS_INT N, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );
`c
#include "stdlib/blas/ext/base/sdssumpw.h"
#include
int main( void ) {
// Create a strided array:
const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
// Specify the number of elements:
const int N = 4;
// Specify the stride length:
const int strideX = 2;
// Compute the sum:
float v = stdlib_strided_sdssumpw( N, x, strideX );
// Print the result:
printf( "Sum: %f\n", v );
}
`
- Higham, Nicholas J. 1993. "The Accuracy of Floating Point Summation." _SIAM Journal on Scientific Computing_ 14 (4): 783–99. doi:[10.1137/0914050][@higham:1993a].
*
- [@stdlib/blas-ext/base/dssumpw][@stdlib/blas/ext/base/dssumpw]: calculate the sum of single-precision floating-point strided array elements using pairwise summation with extended accumulation and returning an extended precision result.
- [@stdlib/blas-ext/base/dsumpw][@stdlib/blas/ext/base/dsumpw]: calculate the sum of double-precision floating-point strided array elements using pairwise summation.
- [@stdlib/blas-ext/base/sdsnansumpw][@stdlib/blas/ext/base/sdsnansumpw]: calculate the sum of single-precision floating-point strided array elements, ignoring NaN values and using pairwise summation with extended accumulation.
- [@stdlib/blas-ext/base/sdssum][@stdlib/blas/ext/base/sdssum]: calculate the sum of single-precision floating-point strided array elements using extended accumulation.
- [@stdlib/blas-ext/base/ssumpw][@stdlib/blas/ext/base/ssumpw]: calculate the sum of single-precision floating-point strided array elements using pairwise summation.
- [@stdlib/blas-ext/base/gsumpw][@stdlib/blas/ext/base/gsumpw]: calculate the sum of strided array elements using pairwise summation.
*
This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].
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---
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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules
[deno-url]: https://github.com/stdlib-js/blas-ext-base-sdssumpw/tree/deno
[deno-readme]: https://github.com/stdlib-js/blas-ext-base-sdssumpw/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/blas-ext-base-sdssumpw/tree/umd
[umd-readme]: https://github.com/stdlib-js/blas-ext-base-sdssumpw/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/blas-ext-base-sdssumpw/tree/esm
[esm-readme]: https://github.com/stdlib-js/blas-ext-base-sdssumpw/blob/esm/README.md
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[@stdlib/array/float32]: https://www.npmjs.com/package/@stdlib/array-float32
[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
[@higham:1993a]: https://doi.org/10.1137/0914050
[@stdlib/blas/ext/base/dssumpw]: https://www.npmjs.com/package/@stdlib/blas-ext-base-dssumpw
[@stdlib/blas/ext/base/dsumpw]: https://www.npmjs.com/package/@stdlib/blas-ext-base-dsumpw
[@stdlib/blas/ext/base/sdsnansumpw]: https://www.npmjs.com/package/@stdlib/blas-ext-base-sdsnansumpw
[@stdlib/blas/ext/base/sdssum]: https://www.npmjs.com/package/@stdlib/blas-ext-base-sdssum
[@stdlib/blas/ext/base/ssumpw]: https://www.npmjs.com/package/@stdlib/blas-ext-base-ssumpw
[@stdlib/blas/ext/base/gsumpw]: https://www.npmjs.com/package/@stdlib/blas-ext-base-gsumpw