feat: add blas/ext/to-sortedhp

lib/node_modules/@stdlib/blas/ext/to-sortedhp/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2025 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.
+
+-->
+
+# toSortedhp
+
+> Return a new [ndarray][@stdlib/ndarray/ctor] containing the elements of an input [ndarray][@stdlib/ndarray/ctor] sorted along one or more [ndarray][@stdlib/ndarray/ctor] dimensions using heapsort.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var toSortedhp = require( '@stdlib/blas/ext/to-sortedhp' );
+```
+
+#### toSortedhp( x\[, sortOrder]\[, options] )
+
+Returns a new [ndarray][@stdlib/ndarray/ctor] containing the elements of an input [ndarray][@stdlib/ndarray/ctor] sorted along one or more [ndarray][@stdlib/ndarray/ctor] dimensions using heapsort.
+
+```javascript
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var array = require( '@stdlib/ndarray/array' );
+
+var x = array( [ -1.0, 2.0, -3.0 ] );
+
+var y = toSortedhp( x );
+// returns <ndarray>
+
+var arr = ndarray2array( y );
+// returns [ -3.0, -1.0, 2.0 ]
+```
+
+The function has the following parameters:
+
+-   **x**: input [ndarray][@stdlib/ndarray/ctor]. Must have a real-valued or "generic" [data type][@stdlib/ndarray/dtypes].
+-   **sortOrder**: sort order (_optional_). May be either a scalar value, string, or an [ndarray][@stdlib/ndarray/ctor] having a real-valued or "generic" [data type][@stdlib/ndarray/dtypes]. If provided an [ndarray][@stdlib/ndarray/ctor], the value must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the complement of the shape defined by `options.dims`. For example, given the input shape `[2, 3, 4]` and `options.dims=[0]`, an [ndarray][@stdlib/ndarray/ctor] sort order must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the shape `[3, 4]`. Similarly, when performing the operation over all elements in a provided input [ndarray][@stdlib/ndarray/ctor], an [ndarray][@stdlib/ndarray/ctor] sort order must be a zero-dimensional [ndarray][@stdlib/ndarray/ctor]. By default, the sort order is `1` (i.e., increasing order).
+-   **options**: function options (_optional_).
+
+The function accepts the following options:
+
+-   **dims**: list of dimensions over which to perform operation. If not provided, the function performs the operation over all elements in a provided input [ndarray][@stdlib/ndarray/ctor].
+
+By default, the function sorts elements in increasing order. To sort in a different order, provide a `sortOrder` argument.
+
+```javascript
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var array = require( '@stdlib/ndarray/array' );
+
+var x = array( [ -1.0, 2.0, -3.0 ] );
+
+var y = toSortedhp( x, -1.0 );
+// returns <ndarray>
+
+var arr = ndarray2array( y );
+// returns [ 2.0, -1.0, -3.0 ]
+```
+
+In addition to numeric values, one can specify the sort order via one of the following string literals: `'ascending'`, `'asc'`, `'descending'`, or `'desc'`. The first two literals indicate to sort in ascending (i.e., increasing) order. The last two literals indicate to sort in descending (i.e., decreasing) order.
+
+```javascript
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var array = require( '@stdlib/ndarray/array' );
+
+var x = array( [ -1.0, 2.0, -3.0 ] );
+
+// Sort in ascending order:
+var y = toSortedhp( x, 'asc' );
+// returns <ndarray>
+
+var arr = ndarray2array( y );
+// returns [ -3.0, -1.0, 2.0 ]
+
+// Sort in descending order:
+y = toSortedhp( x, 'descending' );
+// returns <ndarray>
+
+arr = ndarray2array( y );
+// returns [ 2.0, -1.0, -3.0 ]
+```
+
+By default, the function performs the operation over all elements in a provided input [ndarray][@stdlib/ndarray/ctor]. To perform the operation over specific dimensions, provide a `dims` option.
+
+```javascript
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var array = require( '@stdlib/ndarray/array' );
+
+var x = array( [ -1.0, 2.0, -3.0, 4.0 ], {
+    'shape': [ 2, 2 ],
+    'order': 'row-major'
+});
+
+var v = ndarray2array( x );
+// returns [ [ -1.0, 2.0 ], [ -3.0, 4.0 ] ]
+
+var y = toSortedhp( x, {
+    'dims': [ 0 ]
+});
+// returns <ndarray>
+
+v = ndarray2array( y );
+// returns [ [ -3.0, 2.0 ], [ -1.0, 4.0 ] ]
+```
+
+#### toSortedhp.assign( x, y\[, sortOrder]\[, options] )
+
+Sorts the elements of an input [ndarray][@stdlib/ndarray/ctor] along one or more [ndarray][@stdlib/ndarray/ctor] dimensions using heapsort and assigns the results to an output [ndarray][@stdlib/ndarray/ctor].
+
+```javascript
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var array = require( '@stdlib/ndarray/array' );
+
+var x = array( [ -1.0, 2.0, -3.0 ] );
+var y = zeros( [ 3 ] );
+
+var out = toSortedhp.assign( x, y );
+// returns <ndarray>
+
+var arr = ndarray2array( out );
+// returns [ -3.0, -1.0, 2.0 ]
+
+var bool = ( y === out );
+// returns true
+```
+
+The function has the following parameters:
+
+-   **x**: input [ndarray][@stdlib/ndarray/ctor]. Must have a real-valued or "generic" [data type][@stdlib/ndarray/dtypes].
+-   **y**: output [ndarray][@stdlib/ndarray/ctor]. Must have a real-valued or "generic" [data type][@stdlib/ndarray/dtypes].
+-   **sortOrder**: sort order (_optional_). May be either a scalar value, string, or an [ndarray][@stdlib/ndarray/ctor] having a real-valued or "generic" [data type][@stdlib/ndarray/dtypes]. If provided an [ndarray][@stdlib/ndarray/ctor], the value must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the complement of the shape defined by `options.dims`. For example, given the input shape `[2, 3, 4]` and `options.dims=[0]`, an [ndarray][@stdlib/ndarray/ctor] sort order must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the shape `[3, 4]`. Similarly, when performing the operation over all elements in a provided input [ndarray][@stdlib/ndarray/ctor], an [ndarray][@stdlib/ndarray/ctor] sort order must be a zero-dimensional [ndarray][@stdlib/ndarray/ctor]. By default, the sort order is `1` (i.e., increasing order).
+-   **options**: function options (_optional_).
+
+The function accepts the following options:
+
+-   **dims**: list of dimensions over which to perform operation. If not provided, the function performs the operation over all elements in a provided input [ndarray][@stdlib/ndarray/ctor].
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   If `sortOrder < 0.0` or is either `'desc'` or `'descending'`, the input [ndarray][@stdlib/ndarray/ctor] is sorted in **decreasing** order. If `sortOrder > 0.0` or is either `'asc'` or `'ascending'`, the input [ndarray][@stdlib/ndarray/ctor] is sorted in **increasing** order. If `sortOrder == 0.0`, the input [ndarray][@stdlib/ndarray/ctor] is left unchanged.
+-   The algorithm distinguishes between `-0` and `+0`. When sorted in increasing order, `-0` is sorted before `+0`. When sorted in decreasing order, `-0` is sorted after `+0`.
+-   The algorithm sorts `NaN` values to the end. When sorted in increasing order, `NaN` values are sorted last. When sorted in decreasing order, `NaN` values are sorted first.
+-   The algorithm has space complexity `O(1)` and time complexity `O(N log2 N)`.
+-   The algorithm is **unstable**, meaning that the algorithm may change the order of [ndarray][@stdlib/ndarray/ctor] elements which are equal or equivalent (e.g., `NaN` values).
+-   The function iterates over [ndarray][@stdlib/ndarray/ctor] elements according to the memory layout of the input [ndarray][@stdlib/ndarray/ctor]. Accordingly, performance degradation is possible when operating over multiple dimensions of a large non-contiguous multi-dimensional input [ndarray][@stdlib/ndarray/ctor]. In such scenarios, one may want to copy an input [ndarray][@stdlib/ndarray/ctor] to contiguous memory before sorting.
+
+</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 ndarray = require( '@stdlib/ndarray/ctor' );
+var toSortedhp = require( '@stdlib/blas/ext/to-sortedhp' );
+
+// Generate an array of random numbers:
+var xbuf = discreteUniform( 25, -20, 20, {
+    'dtype': 'generic'
+});
+
+// Wrap in an ndarray:
+var x = new ndarray( 'generic', xbuf, [ 5, 5 ], [ 5, 1 ], 0, 'row-major' );
+console.log( ndarray2array( x ) );
+
+// Perform operation:
+var out = toSortedhp( x, {
+    'dims': [ 0 ]
+});
+
+// Print the results:
+console.log( ndarray2array( out ) );
+```
+
+</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">
+
+[@stdlib/ndarray/ctor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/ctor
+
+[@stdlib/ndarray/dtypes]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/dtypes
+
+[@stdlib/ndarray/base/broadcast-shapes]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/base/broadcast-shapes
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/blas/ext/to-sortedhp/benchmark/benchmark.assign.js

@@ -0,0 +1,112 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 ndarray = require( '@stdlib/ndarray/base/ctor' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var pkg = require( './../package.json' ).name;
+var assign = require( './../lib/assign.js' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+	var x;
+	var y;
+
+	x = uniform( len, -50.0, 50.0, options );
+	x = new ndarray( options.dtype, x, [ len ], [ 1 ], 0, 'row-major' );
+	y = zeros( [ len ], {
+		'dtype': options.dtype
+	});
+
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var o;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			o = assign( x, y, ( i%2 ) ? 1 : -1 );
+			if ( typeof o !== 'object' ) {
+				b.fail( 'should return an ndarray' );
+			}
+		}
+		b.toc();
+		if ( isnan( y.get( i%len ) ) ) {
+			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+':dtype='+options.dtype+',len='+len, f );
+	}
+}
+
+main();