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feat: add support for stack for blas/sasum #3097

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167 changes: 167 additions & 0 deletions lib/node_modules/@stdlib/blas/sasum/README.md
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<!--

@license Apache-2.0

Copyright (c) 2024 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.

-->

# sasum

> Compute the sum of [absolute values][@stdlib/math/base/special/abs] ([_L1_ norm][l1norm]).

<section class="intro">

The [_L1_ norm][l1norm] is defined as

<!-- <equation class="equation" label="eq:l1norm" align="center" raw="\|\mathbf{x}\|_1 = \sum_{i=0}^{n-1} \vert x_i \vert" alt="L1 norm definition."> -->

```math
\|\mathbf{x}\|_1 = \sum_{i=0}^{n-1} \vert x_i \vert
```

<!-- <div class="equation" align="center" data-raw-text="\|\mathbf{x}\|_1 = \sum_{i=0}^{n-1} \vert x_i \vert" data-equation="eq:l1norm">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@c403cb0cbb15d9b7b453e3cea34ca2379500ddd4/lib/node_modules/@stdlib/blas/base/sasum/docs/img/equation_l1norm.svg" alt="L1 norm definition.">
<br>
</div> -->

<!-- </equation> -->

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var sasum = require( '@stdlib/blas/sasum' );
```

#### sasum( x\[, dim] )

Computes the sum of [absolute values][@stdlib/math/base/special/abs].

```javascript
var Float32Array = require( '@stdlib/array/float32' );
var array = require( '@stdlib/ndarray/array' );

var x = array( new Float32Array( [ 4.0, 2.0, -3.0, 5.0, -1.0 ] ) );

var z = sasum( x );
// returns <ndarray>

var v = z.get();
// returns 15.0
```

The function has the following parameters:

- **x**: a non-zero-dimensional [`ndarray`][@stdlib/ndarray/ctor] whose underlying data type is `float32`.
- **dim**: dimension for which to compute the sum. Must be a negative integer. Negative indices are resolved relative to the last array dimension, with the last dimension corresponding to `-1`. Default: `-1`.

For multi-dimensional input [`ndarrays`][@stdlib/ndarray/ctor], the function performs batched computation, such that the function computes the sum for each pair of vectors in `x` according to the specified dimension index.

```javascript
var Float32Array = require( '@stdlib/array/float32' );
var array = require( '@stdlib/ndarray/array' );

var opts = {
'shape': [ 2, 3 ]
};
var x = array( new Float32Array( [ 4.0, 2.0, -3.0, 5.0, -1.0, 3.0 ] ), opts );

var z = sasum( x );
// returns <ndarray>

var v1 = z.get( 0 );
// returns 9.0

var v2 = z.get( 1 );
// returns 9.0
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- Negative indices are resolved relative to the last [`ndarray`][@stdlib/ndarray/ctor] dimension, with the last dimension corresponding to `-1`.
- The output [`ndarray`][@stdlib/ndarray/ctor] has the same data type as the input [`ndarray`][@stdlib/ndarray/ctor] and has a shape which is determined by broadcasting and excludes the contracted dimension.
- If provided an empty vector, the sum is `0`.
- `sasum()` provides a higher-level interface to the [BLAS][blas] level 1 function [`sasum`][@stdlib/blas/base/sasum].

</section>

<!-- /.notes -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var ndarray2array = require( '@stdlib/ndarray/to-array' );
var array = require( '@stdlib/ndarray/array' );
var sasum = require( '@stdlib/blas/sasum' );

var opts = {
'dtype': 'float32'
};

var x = array( discreteUniform( 10, 0, 100, opts ), {
'shape': [ 5, 2 ]
});
console.log( ndarray2array( x ) );

var z = sasum( x, -1 );
console.log( ndarray2array( z ) );
```

</section>

<!-- /.examples -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="links">

[l1norm]: https://en.wikipedia.org/wiki/Norm_%28mathematics%29

[@stdlib/math/base/special/abs]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/abs

[blas]: http://www.netlib.org/blas

[@stdlib/ndarray/ctor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/ctor

[@stdlib/blas/base/sasum]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/sasum

</section>

<!-- /.links -->
103 changes: 103 additions & 0 deletions lib/node_modules/@stdlib/blas/sasum/benchmark/benchmark.js
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/**
* @license Apache-2.0
*
* Copyright (c) 2024 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 bench = require( '@stdlib/bench' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var pow = require( '@stdlib/math/base/special/pow' );
var uniform = require( '@stdlib/random/array/uniform' );
var array = require( '@stdlib/ndarray/array' );
var pkg = require( './../package.json' ).name;
var sasum = require( './../lib/main.js' );


// VARIABLES //

var opts = {
'dtype': 'float32'
};


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveInteger} len - array length
* @returns {Function} benchmark function
*/
function createBenchmark( len ) {
var x = array( uniform( len, -100.0, 100.0, opts ) );
return benchmark;

/**
* Benchmark function.
*
* @private
* @param {Benchmark} b - benchmark instance
*/
function benchmark( b ) {
var d;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
d = sasum( x );
if ( isnan( d.get() ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnan( d.get() ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
}
}


// MAIN //

/**
* Main execution sequence.
*
* @private
*/
function main() {
var len;
var min;
var max;
var f;
var i;

min = 1; // 10^min
max = 6; // 10^max

for ( i = min; i <= max; i++ ) {
len = pow( 10, i );
f = createBenchmark( len );
bench( pkg+'::vectors:len='+len, f );
}
}

main();
120 changes: 120 additions & 0 deletions lib/node_modules/@stdlib/blas/sasum/benchmark/benchmark.stack.js
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/**
* @license Apache-2.0
*
* Copyright (c) 2024 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 bench = require( '@stdlib/bench' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var pow = require( '@stdlib/math/base/special/pow' );
var uniform = require( '@stdlib/random/array/uniform' );
var numel = require( '@stdlib/ndarray/base/numel' );
var array = require( '@stdlib/ndarray/array' );
var pkg = require( './../package.json' ).name;
var sasum = require( './../lib/main.js' );


// VARIABLES //

var OPTS = {
'dtype': 'float32'
};


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveIntegerArray} shape - array shape
* @returns {Function} benchmark function
*/
function createBenchmark( shape ) {
var x;
var N;
var o;

N = numel( shape );
o = {
'shape': shape
};
x = array( uniform( N, -100.0, 100.0, OPTS ), o );

return benchmark;

/**
* Benchmark function.
*
* @private
* @param {Benchmark} b - benchmark instance
*/
function benchmark( b ) {
var d;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
d = sasum( x );
if ( isnan( d.iget( 0 ) ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnan( d.iget( 0 ) ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
}
}


// MAIN //

/**
* Main execution sequence.
*
* @private
*/
function main() {
var shape;
var min;
var max;
var N;
var f;
var i;

min = 1; // 10^min
max = 6; // 10^max

for ( i = min; i <= max; i++ ) {
N = pow( 10, i );

shape = [ 2, N/2 ];
f = createBenchmark( shape );
bench( pkg+'::stacks:size='+N+',ndims='+shape.length+',shape=('+shape.join( ',' )+')', f );

shape = [ N/2, 2 ];
f = createBenchmark( shape );
bench( pkg+'::stacks:size='+N+',ndims='+shape.length+',shape=('+shape.join( ',' )+')', f );
}
}

main();
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