feat: add blas/base/ndarray/zaxpy

lib/node_modules/@stdlib/blas/base/ndarray/zaxpy/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 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.
+
+-->
+
+# zaxpy
+
+> Multiply a one-dimensional double-precision complex floating-point ndarray `x` by a constant `alpha` and add the result to a one-dimensional double-precision complex floating-point ndarray `y`.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var zaxpy = require( '@stdlib/blas/base/ndarray/zaxpy' );
+```
+
+#### zaxpy( arrays )
+
+Multiplies a one-dimensional double-precision complex floating-point ndarray `x` by a constant `alpha` and adds the result to a one-dimensional double-precision complex floating-point ndarray `y`.
+
+```javascript
+var Complex128Array = require( '@stdlib/array/complex128' );
+var Complex128 = require( '@stdlib/complex/float64/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/base/from-scalar' );
+var ndarray = require( '@stdlib/ndarray/base/ctor' );
+
+var xbuf = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var x = new ndarray( 'complex128', xbuf, [ 3 ], [ 1 ], 0, 'row-major' );
+
+var ybuf = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] );
+var y = new ndarray( 'complex128', ybuf, [ 3 ], [ 1 ], 0, 'row-major' );
+
+var alpha = scalar2ndarray( new Complex128( 1.0, 2.0 ), 'complex128', 'row-major' );
+var z = zaxpy( [ x, y, alpha ] );
+// returns <ndarray>[ <Complex128>[ -2.0, 5.0 ], <Complex128>[ -4.0, 11.0 ], <Complex128>[ -6.0, 17.0 ] ]
+
+var bool = ( y === z );
+// returns true
+```
+
+The function has the following parameters:
+
+-   **arrays**: array-like object containing an input ndarray, an output ndarray, and a zero-dimensional ndarray containing a scalar constant.
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var Complex128Array = require( '@stdlib/array/complex128' );
+var Complex128 = require( '@stdlib/complex/float64/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray = require( '@stdlib/ndarray/base/ctor' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var zaxpy = require( '@stdlib/blas/base/ndarray/zaxpy' );
+
+var opts = {
+    'dtype': 'float64'
+};
+
+var xbuf = new Complex128Array( discreteUniform( 10, 0, 100, opts ) );
+var x = new ndarray( 'complex128', xbuf, [ xbuf.length ], [ 1 ], 0, 'row-major' );
+console.log( ndarray2array( x ) );
+
+var ybuf = new Complex128Array( discreteUniform( xbuf.length*2, 0, 10, opts ) );
+var y = new ndarray( 'complex128', ybuf, [ ybuf.length ], [ 1 ], 0, 'row-major' );
+console.log( ndarray2array( y ) );
+
+var alpha = scalar2ndarray( new Complex128( 1.0, 2.0 ), {
+    'dtype': 'complex128'
+});
+var out = zaxpy( [ x, y, alpha ] );
+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">
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/blas/base/ndarray/zaxpy/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var real = require( '@stdlib/complex/float64/real' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var ndarray = require( '@stdlib/ndarray/base/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/base/from-scalar' );
+var Complex128Array = require( '@stdlib/array/complex128' );
+var Complex128 = require( '@stdlib/complex/float64/ctor' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var zaxpy = require( './../lib' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'complex128'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+	var alpha;
+	var xbuf;
+	var ybuf;
+	var x;
+	var y;
+
+	xbuf = uniform( len*2, -100.0, 100.0, {
+		'dtype': 'float64'
+	});
+	x = new ndarray( options.dtype, new Complex128Array( xbuf ), [ len ], [ 1 ], 0, 'row-major' );
+
+	ybuf = uniform( len*2, -100.0, 100.0, {
+		'dtype': 'float64'
+	});
+	y = new ndarray( options.dtype, new Complex128Array( ybuf ), [ len ], [ 1 ], 0, 'row-major' );
+
+	alpha = scalar2ndarray( new Complex128( 1.0, 2.0 ), options.dtype, 'row-major' );
+
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var z;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = zaxpy( [ x, y, alpha ] );
+			if ( typeof z !== 'object' ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( real( z.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( format( '%s:len=%d', pkg, len ), f );
+	}
+}
+
+main();

lib/node_modules/@stdlib/blas/base/ndarray/zaxpy/docs/repl.txt

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+
+{{alias}}( arrays )
+    Multiplies a one-dimensional double-precision complex floating-point
+    ndarray `x` by a constant `alpha` and adds the result to a one-dimensional
+    double-precision complex floating-point ndarray `y`.
+
+    If provided an empty input ndarray, the function returns the output ndarray
+    unchanged.
+
+    Parameters
+    ----------
+    arrays: ArrayLikeObject<ndarray>
+        Array-like object containing an input ndarray, an output ndarray, and
+        a zero-dimensional ndarray containing a scalar constant `alpha`.
+
+    Returns
+    -------
+    out: ndarray
+        Output ndarray.
+
+    Examples
+    --------
+    > var xbuf = new {{alias:@stdlib/array/complex128}}( [ 4.0, 2.0, -3.0, 5.0 ] );
+    > var ybuf = new {{alias:@stdlib/array/complex128}}( [ 2.0, 6.0, -1.0, -4.0 ] );
+    > var dt = 'complex128';
+    > var sh = [ xbuf.length ];
+    > var st = [ 1 ];
+    > var oo = 0;
+    > var ord = 'row-major';
+    > var x = new {{alias:@stdlib/ndarray/ctor}}( dt, xbuf, sh, st, oo, ord );
+    > var y = new {{alias:@stdlib/ndarray/ctor}}( dt, ybuf, sh, st, oo, ord );
+    > var ca = new {{alias:@stdlib/complex/float64/ctor}}( 1.0, 2.0 );
+    > var alpha = {{alias:@stdlib/ndarray/base/from-scalar}}( ca, dt, ord );
+
+    > {{alias}}( [ x, y, alpha ] );
+    > y
+    <ndarray>[ <Complex128>[ 2.0, 16.0 ], <Complex128>[ -14.0, -5.0 ] ]
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/blas/base/ndarray/zaxpy/docs/types/index.d.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { complex128ndarray } from '@stdlib/types/ndarray';
+
+/**
+* Multiplies a one-dimensional double-precision complex floating-point ndarray `x` by a constant `alpha` and adds the result to a one-dimensional double-precision complex floating-point ndarray `y`.
+*
+* @param arrays - array-like object containing an input ndarray, an output ndarray, and a zero-dimensional ndarray containing a scalar constant
+* @returns output ndarray
+*
+* @example
+* var Complex128Array = require( '@stdlib/array/complex128' );
+* var Complex128 = require( '@stdlib/complex/float64/ctor' );
+* var scalar2ndarray = require( '@stdlib/ndarray/base/from-scalar' );
+* var ndarray = require( '@stdlib/ndarray/base/ctor' );
+*
+* var xbuf = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 ] );
+* var x = new ndarray( 'complex128', xbuf, [ 5 ], [ 1 ], 0, 'row-major' );
+*
+* var ybuf = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] );
+* var y = new ndarray( 'complex128', ybuf, [ 5 ], [ 1 ], 0, 'row-major' );
+*
+* var alpha = scalar2ndarray( new Complex128( 1.0, 2.0 ), 'complex128', 'row-major' );
+*
+* var z = zaxpy( [ x, y, alpha ] );
+* // returns <ndarray>[ <Complex128>[ -2.0, 5.0 ], <Complex128>[ -4.0, 11.0 ], <Complex128>[ -6.0, 17.0 ], <Complex128>[ -8.0, 23.0 ], <Complex128>[ -10.0, 29.0 ] ]
+*
+* var bool = ( z === y );
+* // returns true
+*/
+declare function zaxpy( arrays: [ complex128ndarray, complex128ndarray, complex128ndarray ] ): complex128ndarray;
+
+
+// EXPORTS //
+
+export = zaxpy;