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feat: add C ndarray API and refactor blas/ext/base/dnansumkbn
PR-URL: #2996 Co-authored-by: Athan Reines <kgryte@gmail.com> Reviewed-by: Athan Reines <kgryte@gmail.com> Signed-off-by: Athan Reines <kgryte@gmail.com>
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lib/node_modules/@stdlib/blas/ext/base/dnansumkbn/README.md

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var dnansumkbn = require( '@stdlib/blas/ext/base/dnansumkbn' );
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```
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#### dnansumkbn( N, x, stride )
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#### dnansumkbn( N, x, strideX )
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Computes the sum of double-precision floating-point strided array elements, ignoring `NaN` values and using an improved Kahan–Babuška algorithm.
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var x = new Float64Array( [ 1.0, -2.0, NaN, 2.0 ] );
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var v = dnansumkbn( 4, x, 1 );
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var v = dnansumkbn( x.length, x, 1 );
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// returns 1.0
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```
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The function has the following parameters:
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- **N**: number of indexed elements.
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- **x**: input [`Float64Array`][@stdlib/array/float64].
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- **stride**: index increment for `x`.
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- **strideX**: stride length for `x`.
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The `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to compute the sum of every other element in `x`,
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// returns 5.0
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```
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#### dnansumkbn.ndarray( N, x, stride, offset )
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#### dnansumkbn.ndarray( N, x, strideX, offsetX )
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Computes the sum of double-precision floating-point strided array elements, ignoring `NaN` values and using an improved Kahan–Babuška algorithm and alternative indexing semantics.
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var x = new Float64Array( [ 1.0, -2.0, NaN, 2.0 ] );
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var v = dnansumkbn.ndarray( 4, x, 1, 0 );
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var v = dnansumkbn.ndarray( x.length, x, 1, 0 );
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// returns 1.0
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```
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The function has the following additional parameters:
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- **offset**: starting index for `x`.
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- **offsetX**: starting index for `x`.
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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 value in `x` starting from the second value
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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:
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```javascript
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var Float64Array = require( '@stdlib/array/float64' );
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<!-- /.examples -->
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<!-- C interface documentation. -->
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* * *
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<section class="c">
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## C APIs
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
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<section class="intro">
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</section>
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<!-- /.intro -->
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<!-- C usage documentation. -->
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<section class="usage">
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### Usage
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```c
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#include "stdlib/blas/ext/base/dnansumkbn.h"
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```
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#### stdlib_strided_dnansumkbn( N, \*X, strideX )
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Computes the sum of double-precision floating-point strided array elements, ignoring `NaN` values and using an improved Kahan–Babuška algorithm.
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```c
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const double x[] = { 1.0, 2.0, 0.0/0.0, 4.0 };
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double v = stdlib_strided_dnansumkbn( 4, x, 1 );
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// returns 7.0
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```
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The function accepts the following arguments:
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- **N**: `[in] CBLAS_INT` number of indexed elements.
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- **X**: `[in] double*` input array.
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- **strideX**: `[in] CBLAS_INT` stride length for `X`.
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```c
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double stdlib_strided_dnansumkbn( const CBLAS_INT N, const double *X, const CBLAS_INT strideX );
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```
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#### stdlib_strided_dnansumkbn_ndarray( N, \*X, strideX, offsetX )
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Computes the sum of double-precision floating-point strided array elements, ignoring `NaN` values and using an improved Kahan–Babuška algorithm and alternative indexing semantics.
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```c
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const double x[] = { 1.0, 2.0, 0.0/0.0, 4.0 };
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double v = stdlib_strided_dnansumkbn_ndarray( 4, x, 1, 0 );
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// returns 7.0
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```
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The function accepts the following arguments:
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- **N**: `[in] CBLAS_INT` number of indexed elements.
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- **X**: `[in] double*` input array.
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- **strideX**: `[in] CBLAS_INT` stride length for `X`.
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- **offsetX**: `[in] CBLAS_INT` starting index for `X`.
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```c
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double stdlib_strided_dnansumkbn_ndarray( const CBLAS_INT N, const double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );
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```
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</section>
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<!-- /.usage -->
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<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="notes">
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</section>
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<!-- /.notes -->
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<!-- C API usage examples. -->
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<section class="examples">
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### Examples
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```c
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#include "stdlib/blas/ext/base/dnansumkbn.h"
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#include <stdio.h>
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int main( void ) {
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// Create a strided array:
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const double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 0.0/0.0, 0.0/0.0 };
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// Specify the number of elements:
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const int N = 5;
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// Specify the stride length:
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const int strideX = 2;
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// Compute the sum:
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double v = stdlib_strided_dnansumkbn( N, x, strideX );
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// Print the result:
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printf( "sum: %lf\n", v );
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}
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```
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</section>
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<!-- /.examples -->
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</section>
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<!-- /.c -->
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<section class="references">
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## References

lib/node_modules/@stdlib/blas/ext/base/dnansumkbn/benchmark/benchmark.js

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// FUNCTIONS //
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/**
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* Returns a random number.
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*
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* @private
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* @returns {number} random number
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*/
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function rand() {
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if ( bernoulli( 0.8 ) > 0 ) {
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return uniform( -10.0, 10.0 );
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}
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return NaN;
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}
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/**
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* Creates a benchmark function.
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*
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* @returns {Function} benchmark function
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*/
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function createBenchmark( len ) {
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var x = filledarrayBy( len, 'float64', clbk );
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var x = filledarrayBy( len, 'float64', rand );
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return benchmark;
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function clbk() {
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if ( bernoulli( 0.7 ) > 0 ) {
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return uniform( -10.0, 10.0 );
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}
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return NaN;
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}
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function benchmark( b ) {
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var v;
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var i;

lib/node_modules/@stdlib/blas/ext/base/dnansumkbn/benchmark/benchmark.native.js

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// FUNCTIONS //
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/**
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* Returns a random number.
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*
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* @private
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* @returns {number} random number
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*/
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function rand() {
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if ( bernoulli( 0.8 ) > 0 ) {
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return uniform( -10.0, 10.0 );
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}
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return NaN;
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}
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*
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* @returns {Function} benchmark function
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*/
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function createBenchmark( len ) {
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var x = filledarrayBy( len, 'float64', clbk );
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var x = filledarrayBy( len, 'float64', rand );
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return benchmark;
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function clbk() {
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if ( bernoulli( 0.7 ) > 0 ) {
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return uniform( -10.0, 10.0 );
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}
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return NaN;
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}
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function benchmark( b ) {
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var v;
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var i;

lib/node_modules/@stdlib/blas/ext/base/dnansumkbn/benchmark/benchmark.ndarray.js

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// FUNCTIONS //
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/**
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* Returns a random number.
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*
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* @private
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* @returns {number} random number
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*/
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function rand() {
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if ( bernoulli( 0.8 ) > 0 ) {
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return uniform( -10.0, 10.0 );
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}
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return NaN;
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}
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* @returns {Function} benchmark function
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*/
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function createBenchmark( len ) {
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var x = filledarrayBy( len, 'float64', clbk );
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var x = filledarrayBy( len, 'float64', rand );
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return benchmark;
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function clbk() {
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if ( bernoulli( 0.7 ) > 0 ) {
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return uniform( -10.0, 10.0 );
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var i;

lib/node_modules/@stdlib/blas/ext/base/dnansumkbn/benchmark/benchmark.ndarray.native.js

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// FUNCTIONS //
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/**
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* Returns a random number.
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*
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* @private
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* @returns {number} random number
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*/
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function rand() {
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if ( bernoulli( 0.8 ) > 0 ) {
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return uniform( -10.0, 10.0 );
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}
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}
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