From a65bc4363ab3809beec0d42bddc3a206d3620480 Mon Sep 17 00:00:00 2001
From: Aman Singh <amansingh080704@gmail.com>
Date: Thu, 18 Dec 2025 22:33:31 +0530
Subject: [PATCH 1/5] feat: add blas/ext/base/ndarray/gapx

---
 .../blas/ext/base/ndarray/gapx/README.md      | 129 ++++++++++++++
 .../base/ndarray/gapx/benchmark/benchmark.js  | 101 +++++++++++
 .../blas/ext/base/ndarray/gapx/docs/repl.txt  |  28 +++
 .../base/ndarray/gapx/docs/types/index.d.ts   |  48 ++++++
 .../ext/base/ndarray/gapx/docs/types/test.ts  |  62 +++++++
 .../ext/base/ndarray/gapx/examples/index.js   |  34 ++++
 .../blas/ext/base/ndarray/gapx/lib/index.js   |  46 +++++
 .../blas/ext/base/ndarray/gapx/lib/main.js    |  71 ++++++++
 .../blas/ext/base/ndarray/gapx/package.json   |  74 ++++++++
 .../blas/ext/base/ndarray/gapx/test/test.js   | 161 ++++++++++++++++++
 10 files changed, 754 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/package.json
 create mode 100644 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/test/test.js

diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
new file mode 100644
index 000000000000..1ca029341454
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
@@ -0,0 +1,129 @@
+<!--
+
+@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.
+
+-->
+
+# gapx
+
+> Add a scalar constant to each element in an ndarray.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var gapx = require( '@stdlib/blas/ext/base/ndarray/gapx' );
+```
+
+#### gapx( x, alpha )
+
+Adds a scalar constant to each element in an ndarray.
+
+```javascript
+var ndarray = require( '@stdlib/ndarray/ctor' );
+
+var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+
+gapx( x, 5.0 );
+
+var y = x.data;
+// returns [ 6.0, 7.0, 8.0, 9.0 ]
+```
+
+The function has the following parameters:
+
+-   **x**: input ndarray.
+-   **alpha**: scalar constant.
+
+Note that indexing is relative to the first index. To introduce an offset, use [`ndarray`][@stdlib/ndarray/ctor] view creation.
+
+```javascript
+var ndarray = require( '@stdlib/ndarray/ctor' );
+
+// Initial array:
+var xbuf = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+
+// Create an ndarray view:
+var x = new ndarray( 'generic', xbuf, [ 3 ], [ 1 ], 2, 'row-major' );
+
+gapx( x, 5.0 );
+
+var y = x.data;
+// returns [ 1.0, 2.0, 8.0, 9.0, 10.0 ]
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   The function **mutates** the input ndarray.
+-   The function supports generic arrays and typed arrays.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var ndarray = require( '@stdlib/ndarray/ctor' );
+var gapx = require( '@stdlib/blas/ext/base/ndarray/gapx' );
+
+var xbuf = discreteUniform( 10, 0, 100, {
+    'dtype': 'generic'
+});
+var x = new ndarray( 'generic', xbuf, [ 10 ], [ 1 ], 0, 'row-major' );
+
+console.log( x.data );
+
+gapx( x, 5.0 );
+
+console.log( x.data );
+```
+
+</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/ndarray-ctor
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
new file mode 100644
index 000000000000..c1079569390f
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
@@ -0,0 +1,101 @@
+/**
+* @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 discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var ndarray = require( '@stdlib/ndarray/ctor' );
+var pkg = require( './../package.json' ).name;
+var gapx = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+	var x;
+
+	x = new ndarray( 'generic', discreteUniform( len, -100, 100, {
+		'dtype': 'generic'
+	}), [ len ], [ 1 ], 0, '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 = gapx( x, 5.0 );
+			if ( isnan( z.data[ i % len ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( z.data[ 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+':len='+len, f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
new file mode 100644
index 000000000000..040d28ecbf44
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
@@ -0,0 +1,28 @@
+{{alias}}( x, alpha )
+    Adds a scalar constant to each element in an ndarray.
+
+    Parameters
+    ----------
+    x: ndarray
+        Input ndarray.
+
+    alpha: number
+        Scalar constant.
+
+    Returns
+    -------
+    out: ndarray
+        Input ndarray.
+
+    Examples
+    --------
+    > var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+    > var x = {{alias:@stdlib/ndarray/ctor}}( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+    > {{alias}}( x, 5.0 )
+    <ndarray>
+    > x.data
+    [ 6.0, 7.0, 8.0, 9.0 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
new file mode 100644
index 000000000000..5bca6d2bfd5f
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
@@ -0,0 +1,48 @@
+/*
+* @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.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { ndarray } from '@stdlib/types/ndarray';
+
+/**
+* Adds a scalar constant to each element in an ndarray.
+*
+* @param x - input ndarray
+* @param alpha - scalar constant
+* @returns input ndarray
+*
+* @example
+* var ndarray = require( '@stdlib/ndarray/ctor' );
+*
+* var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+* var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+*
+* gapx( x, 5.0 );
+*
+* var y = x.data;
+* // returns [ 6.0, 7.0, 8.0, 9.0 ]
+*/
+declare function gapx( x: ndarray, alpha: number ): ndarray;
+
+
+// EXPORTS //
+
+export = gapx;
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/test.ts b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/test.ts
new file mode 100644
index 000000000000..b56e787af233
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/test.ts
@@ -0,0 +1,62 @@
+/*
+* @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.
+*/
+
+import gapx = require( './index' );
+
+
+// TESTS //
+
+// The function returns an ndarray...
+{
+	const x: any = null;
+	gapx( x, 5.0 ); // $ExpectType ndarray
+}
+
+// The compiler throws an error if the function is provided a first argument which is not an ndarray...
+{
+	gapx( 123, 5.0 ); // $ExpectError
+	gapx( true, 5.0 ); // $ExpectError
+	gapx( false, 5.0 ); // $ExpectError
+	gapx( null, 5.0 ); // $ExpectError
+	gapx( undefined, 5.0 ); // $ExpectError
+	gapx( '5', 5.0 ); // $ExpectError
+	gapx( [ '1', '2' ], 5.0 ); // $ExpectError
+	gapx( {}, 5.0 ); // $ExpectError
+	gapx( ( x: number ): number => x, 5.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a number...
+{
+	const x: any = null;
+	gapx( x, '5' ); // $ExpectError
+	gapx( x, true ); // $ExpectError
+	gapx( x, false ); // $ExpectError
+	gapx( x, null ); // $ExpectError
+	gapx( x, undefined ); // $ExpectError
+	gapx( x, [ '1' ] ); // $ExpectError
+	gapx( x, {} ); // $ExpectError
+	gapx( x, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const x: any = null;
+	gapx(); // $ExpectError
+	gapx( x ); // $ExpectError
+	gapx( x, 5.0, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/examples/index.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/examples/index.js
new file mode 100644
index 000000000000..0c94bba87269
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/examples/index.js
@@ -0,0 +1,34 @@
+/**
+* @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';
+
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var ndarray = require( '@stdlib/ndarray/ctor' );
+var gapx = require( './../lib' );
+
+var xbuf = discreteUniform( 10, 0, 100, {
+	'dtype': 'generic'
+});
+var x = new ndarray( 'generic', xbuf, [ 10 ], [ 1 ], 0, 'row-major' );
+
+console.log( x.data );
+
+gapx( x, 5.0 );
+
+console.log( x.data );
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
new file mode 100644
index 000000000000..6431a3ce5cba
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
@@ -0,0 +1,46 @@
+/**
+* @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';
+
+/**
+* Add a scalar constant to each element in an ndarray.
+*
+* @module @stdlib/blas/ext/base/ndarray/gapx
+*
+* @example
+* var ndarray = require( '@stdlib/ndarray/ctor' );
+* var gapx = require( '@stdlib/blas/ext/base/ndarray/gapx' );
+*
+* var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+* var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+*
+* gapx( x, 5.0 );
+*
+* var y = x.data;
+* // returns [ 6.0, 7.0, 8.0, 9.0 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/main.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/main.js
new file mode 100644
index 000000000000..ef583ac93740
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/main.js
@@ -0,0 +1,71 @@
+/**
+* @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 numelDimension = require( '@stdlib/ndarray/base/numel-dimension' );
+var strided = require( '@stdlib/blas/ext/base/gapx' ).ndarray;
+var getStride = require( '@stdlib/ndarray/base/stride' );
+var getOffset = require( '@stdlib/ndarray/base/offset' );
+var getData = require( '@stdlib/ndarray/base/data-buffer' );
+
+
+// MAIN //
+
+/**
+* Adds a scalar constant to each element in an ndarray.
+*
+* @param {ndarray} x - input ndarray
+* @param {number} alpha - scalar constant
+* @returns {ndarray} input ndarray
+*
+* @example
+* var ndarray = require( '@stdlib/ndarray/ctor' );
+*
+* var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+* var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+*
+* gapx( x, 5.0 );
+*
+* var y = x.data;
+* // returns [ 6.0, 7.0, 8.0, 9.0 ]
+*/
+function gapx( x, alpha ) {
+	var buf;
+	var sx;
+	var ox;
+	var N;
+
+	N = numelDimension( x, 0 );
+	if ( N <= 0 ) {
+		return x;
+	}
+	buf = getData( x );
+	sx = getStride( x, 0 );
+	ox = getOffset( x );
+
+	strided( N, alpha, buf, sx, ox );
+	return x;
+}
+
+
+// EXPORTS //
+
+module.exports = gapx;
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/package.json b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/package.json
new file mode 100644
index 000000000000..48e75fd3771b
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/package.json
@@ -0,0 +1,74 @@
+{
+  "name": "@stdlib/blas/ext/base/ndarray/gapx",
+  "version": "0.0.0",
+  "description": "Add a scalar constant to each element in an ndarray.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "stdmath",
+    "mathematics",
+    "math",
+    "blas",
+    "level 1",
+    "gapx",
+    "linear",
+    "algebra",
+    "subroutines",
+    "ndarray",
+    "vector",
+    "array",
+    "multidimensional",
+    "add",
+    "constant",
+    "plus",
+    "increment",
+    "augment",
+    "generic"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/test/test.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/test/test.js
new file mode 100644
index 000000000000..560748028f6c
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/test/test.js
@@ -0,0 +1,161 @@
+/**
+* @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 tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var ndarray = require( '@stdlib/ndarray/ctor' );
+var gapx = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof gapx, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function adds a scalar constant to each element in an ndarray', function test( t ) {
+	var expected;
+	var xbuf;
+	var x;
+
+	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+	x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+
+	expected = new Float64Array( [ 6.0, 7.0, 8.0, 9.0 ] );
+
+	gapx( x, 5.0 );
+
+	t.deepEqual( x.data, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns the input ndarray', function test( t ) {
+	var xbuf;
+	var x;
+	var y;
+
+	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+	x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+
+	y = gapx( x, 5.0 );
+
+	t.strictEqual( y, x, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function supports ndarrays with negative strides', function test( t ) {
+	var expected;
+	var xbuf;
+	var x;
+
+	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+	x = new ndarray( 'float64', xbuf, [ 4 ], [ -1 ], 3, 'row-major' );
+
+	expected = new Float64Array( [ 6.0, 7.0, 8.0, 9.0 ] );
+
+	gapx( x, 5.0 );
+
+	t.deepEqual( x.data, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function supports ndarrays with an offset', function test( t ) {
+	var expected;
+	var xbuf;
+	var x;
+
+	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
+	x = new ndarray( 'float64', xbuf, [ 3 ], [ 1 ], 2, 'row-major' );
+
+	expected = new Float64Array( [ 1.0, 2.0, 8.0, 9.0, 10.0 ] );
+
+	gapx( x, 5.0 );
+
+	t.deepEqual( x.data, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function supports zero-length ndarrays', function test( t ) {
+	var expected;
+	var xbuf;
+	var x;
+
+	xbuf = new Float64Array( [] );
+	x = new ndarray( 'float64', xbuf, [ 0 ], [ 1 ], 0, 'row-major' );
+
+	expected = new Float64Array( [] );
+
+	gapx( x, 5.0 );
+
+	t.deepEqual( x.data, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function supports adding zero', function test( t ) {
+	var expected;
+	var xbuf;
+	var x;
+
+	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+	x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+
+	expected = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+	gapx( x, 0.0 );
+
+	t.deepEqual( x.data, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function supports negative constants', function test( t ) {
+	var expected;
+	var xbuf;
+	var x;
+
+	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+	x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+
+	expected = new Float64Array( [ -4.0, -3.0, -2.0, -1.0 ] );
+
+	gapx( x, -5.0 );
+
+	t.deepEqual( x.data, expected, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function supports generic arrays', function test( t ) {
+	var expected;
+	var xbuf;
+	var x;
+
+	xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+	x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+
+	expected = [ 6.0, 7.0, 8.0, 9.0 ];
+
+	gapx( x, 5.0 );
+
+	t.deepEqual( x.data, expected, 'returns expected value' );
+	t.end();
+});

From 5c7a0d5b0984c4206b68d65f29ea61be6195bdc4 Mon Sep 17 00:00:00 2001
From: Aman Singh <amansingh080704@gmail.com>
Date: Fri, 19 Dec 2025 17:56:15 +0530
Subject: [PATCH 2/5] docs: update return annotations to use ndarray instance
 notation

---
 .../@stdlib/blas/ext/base/ndarray/gapx/README.md     | 12 ++++--------
 .../@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt |  4 +---
 .../blas/ext/base/ndarray/gapx/docs/types/index.d.ts |  6 ++----
 .../@stdlib/blas/ext/base/ndarray/gapx/lib/index.js  |  6 ++----
 4 files changed, 9 insertions(+), 19 deletions(-)

diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
index 1ca029341454..4ed9e1fc4f27 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
@@ -40,10 +40,8 @@ var ndarray = require( '@stdlib/ndarray/ctor' );
 var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
 var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
 
-gapx( x, 5.0 );
-
-var y = x.data;
-// returns [ 6.0, 7.0, 8.0, 9.0 ]
+var out = gapx( x, 5.0 );
+// returns <ndarray>[ 6.0, 7.0, 8.0, 9.0 ]
 ```
 
 The function has the following parameters:
@@ -62,10 +60,8 @@ var xbuf = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
 // Create an ndarray view:
 var x = new ndarray( 'generic', xbuf, [ 3 ], [ 1 ], 2, 'row-major' );
 
-gapx( x, 5.0 );
-
-var y = x.data;
-// returns [ 1.0, 2.0, 8.0, 9.0, 10.0 ]
+var out = gapx( x, 5.0 );
+// returns <ndarray>[ 1.0, 2.0, 8.0, 9.0, 10.0 ]
 ```
 
 </section>
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
index 040d28ecbf44..ddc69311de33 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
@@ -19,9 +19,7 @@
     > var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
     > var x = {{alias:@stdlib/ndarray/ctor}}( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
     > {{alias}}( x, 5.0 )
-    <ndarray>
-    > x.data
-    [ 6.0, 7.0, 8.0, 9.0 ]
+    <ndarray>[ 6.0, 7.0, 8.0, 9.0 ]
 
     See Also
     --------
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
index 5bca6d2bfd5f..7bd84999a63c 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
@@ -35,10 +35,8 @@ import { ndarray } from '@stdlib/types/ndarray';
 * var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
 * var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
 *
-* gapx( x, 5.0 );
-*
-* var y = x.data;
-* // returns [ 6.0, 7.0, 8.0, 9.0 ]
+* var out = gapx( x, 5.0 );
+* // returns <ndarray>[ 6.0, 7.0, 8.0, 9.0 ]
 */
 declare function gapx( x: ndarray, alpha: number ): ndarray;
 
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
index 6431a3ce5cba..40b3a03842f9 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
@@ -30,10 +30,8 @@
 * var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
 * var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
 *
-* gapx( x, 5.0 );
-*
-* var y = x.data;
-* // returns [ 6.0, 7.0, 8.0, 9.0 ]
+* var out = gapx( x, 5.0 );
+* // returns <ndarray>[ 6.0, 7.0, 8.0, 9.0 ]
 */
 
 // MODULES //

From 0ac2249bfe07fb00e28aab4bfd3a5bf31f709fcd Mon Sep 17 00:00:00 2001
From: Aman Singh <amansingh080704@gmail.com>
Date: Fri, 19 Dec 2025 18:01:55 +0530
Subject: [PATCH 3/5] fix: correct ndarray instance notation for offset example

---
 lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
index 4ed9e1fc4f27..0ff625e01d33 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
@@ -61,7 +61,7 @@ var xbuf = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
 var x = new ndarray( 'generic', xbuf, [ 3 ], [ 1 ], 2, 'row-major' );
 
 var out = gapx( x, 5.0 );
-// returns <ndarray>[ 1.0, 2.0, 8.0, 9.0, 10.0 ]
+// returns <ndarray>[ 8.0, 9.0, 10.0 ]
 ```
 
 </section>

From a58566f92ec45fa8a42bc553ac73cc8a579313bc Mon Sep 17 00:00:00 2001
From: Aman Singh <amansingh080704@gmail.com>
Date: Sun, 21 Dec 2025 12:00:53 +0530
Subject: [PATCH 4/5] fix: refactor gapx to use arrays API pattern

---
 .../blas/ext/base/ndarray/gapx/README.md      |  51 ++++---
 .../base/ndarray/gapx/benchmark/benchmark.js  |  27 ++--
 .../blas/ext/base/ndarray/gapx/docs/repl.txt  |  20 +--
 .../base/ndarray/gapx/docs/types/index.d.ts   |  20 ++-
 .../ext/base/ndarray/gapx/docs/types/test.ts  |  47 +++---
 .../ext/base/ndarray/gapx/examples/index.js   |  17 ++-
 .../blas/ext/base/ndarray/gapx/lib/index.js   |  15 +-
 .../blas/ext/base/ndarray/gapx/lib/main.js    |  36 ++---
 .../blas/ext/base/ndarray/gapx/package.json   |   2 +-
 .../blas/ext/base/ndarray/gapx/test/test.js   | 138 ++++++------------
 10 files changed, 182 insertions(+), 191 deletions(-)

diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
index 0ff625e01d33..9c4156868a1f 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/README.md
@@ -20,7 +20,7 @@ limitations under the License.
 
 # gapx
 
-> Add a scalar constant to each element in an ndarray.
+> Add a scalar constant to each element in a one-dimensional ndarray.
 
 <section class="usage">
 
@@ -30,38 +30,50 @@ limitations under the License.
 var gapx = require( '@stdlib/blas/ext/base/ndarray/gapx' );
 ```
 
-#### gapx( x, alpha )
+#### gapx( arrays )
 
-Adds a scalar constant to each element in an ndarray.
+Adds a scalar constant to each element in a one-dimensional ndarray.
 
 ```javascript
 var ndarray = require( '@stdlib/ndarray/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
 
 var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
 var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
 
-var out = gapx( x, 5.0 );
-// returns <ndarray>[ 6.0, 7.0, 8.0, 9.0 ]
+var alpha = scalar2ndarray( 5.0, {
+    'dtype': 'generic'
+});
+
+var out = gapx( [ x, alpha ] );
+// returns <ndarray>[ 6, 7, 8, 9 ]
+
+var bool = ( out === x );
+// returns true
+
+var arr = ndarray2array( out );
+// returns [ 6, 7, 8, 9 ]
 ```
 
 The function has the following parameters:
 
--   **x**: input ndarray.
--   **alpha**: scalar constant.
-
-Note that indexing is relative to the first index. To introduce an offset, use [`ndarray`][@stdlib/ndarray/ctor] view creation.
+-   **arrays**: array-like object containing a one-dimensional input ndarray and a zero-dimensional ndarray containing a scalar constant.
 
 ```javascript
 var ndarray = require( '@stdlib/ndarray/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
 
 // Initial array:
 var xbuf = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
 
 // Create an ndarray view:
 var x = new ndarray( 'generic', xbuf, [ 3 ], [ 1 ], 2, 'row-major' );
-
-var out = gapx( x, 5.0 );
-// returns <ndarray>[ 8.0, 9.0, 10.0 ]
+var alpha = scalar2ndarray( 5.0, {
+    'dtype': 'generic'
+});
+var out = gapx( [ x, alpha ] );
+// returns <ndarray>[ 8, 9, 10 ]
 ```
 
 </section>
@@ -72,7 +84,6 @@ var out = gapx( x, 5.0 );
 
 ## Notes
 
--   The function **mutates** the input ndarray.
 -   The function supports generic arrays and typed arrays.
 
 </section>
@@ -88,18 +99,22 @@ var out = gapx( x, 5.0 );
 ```javascript
 var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
 var ndarray = require( '@stdlib/ndarray/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
 var gapx = require( '@stdlib/blas/ext/base/ndarray/gapx' );
 
 var xbuf = discreteUniform( 10, 0, 100, {
     'dtype': 'generic'
 });
 var x = new ndarray( 'generic', xbuf, [ 10 ], [ 1 ], 0, 'row-major' );
+console.log( ndarray2array( x ) );
 
-console.log( x.data );
-
-gapx( x, 5.0 );
+var alpha = scalar2ndarray( 5.0, {
+    'dtype': 'generic'
+});
 
-console.log( x.data );
+gapx( [ x, alpha ] );
+console.log( ndarray2array( x ) );
 ```
 
 </section>
@@ -118,8 +133,6 @@ console.log( x.data );
 
 <section class="links">
 
-[@stdlib/ndarray/ctor]: https://github.com/stdlib-js/ndarray-ctor
-
 </section>
 
 <!-- /.links -->
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
index c1079569390f..1a4cc6093a6a 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
@@ -22,13 +22,20 @@
 
 var bench = require( '@stdlib/bench' );
 var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var pow = require( '@stdlib/math/base/special/pow' );
 var ndarray = require( '@stdlib/ndarray/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
 var pkg = require( './../package.json' ).name;
 var gapx = require( './../lib' );
 
 
+// VARIABLES //
+
+var options = {
+	'dtype': 'generic'
+};
+
+
 // FUNCTIONS //
 
 /**
@@ -39,11 +46,13 @@ var gapx = require( './../lib' );
 * @returns {Function} benchmark function
 */
 function createBenchmark( len ) {
+	var alpha;
+	var xbuf;
 	var x;
 
-	x = new ndarray( 'generic', discreteUniform( len, -100, 100, {
-		'dtype': 'generic'
-	}), [ len ], [ 1 ], 0, 'row-major' );
+	xbuf = discreteUniform( len, -100, 100, options );
+	x = new ndarray( options.dtype, xbuf, [ len ], [ 1 ], 0, 'row-major' );
+	alpha = scalar2ndarray( 5.0, options );
 
 	return benchmark;
 
@@ -59,14 +68,14 @@ function createBenchmark( len ) {
 
 		b.tic();
 		for ( i = 0; i < b.iterations; i++ ) {
-			z = gapx( x, 5.0 );
-			if ( isnan( z.data[ i % len ] ) ) {
-				b.fail( 'should not return NaN' );
+			z = gapx( [ x, alpha ] );
+			if ( typeof z !== 'object' ) {
+				b.fail( 'should return an ndarray' );
 			}
 		}
 		b.toc();
-		if ( isnan( z.data[ i % len ] ) ) {
-			b.fail( 'should not return NaN' );
+		if ( typeof z !== 'object' ) {
+			b.fail( 'should return an ndarray' );
 		}
 		b.pass( 'benchmark finished' );
 		b.end();
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
index ddc69311de33..ac96e86bdd98 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/repl.txt
@@ -1,13 +1,12 @@
-{{alias}}( x, alpha )
-    Adds a scalar constant to each element in an ndarray.
+
+{{alias}}( arrays )
+    Adds a scalar constant to each element in a one-dimensional ndarray.
 
     Parameters
     ----------
-    x: ndarray
-        Input ndarray.
-
-    alpha: number
-        Scalar constant.
+    arrays: ArrayLikeObject<ndarray>
+        Array-like object containing a one-dimensional input ndarray and a
+        zero-dimensional ndarray containing a scalar constant.
 
     Returns
     -------
@@ -18,8 +17,11 @@
     --------
     > var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
     > var x = {{alias:@stdlib/ndarray/ctor}}( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
-    > {{alias}}( x, 5.0 )
-    <ndarray>[ 6.0, 7.0, 8.0, 9.0 ]
+    > var alpha = {{alias:@stdlib/ndarray/from-scalar}}( 5.0, { 'dtype': 'generic' } );
+    > {{alias}}( [ x, alpha ] )
+    <ndarray>[ 6, 7, 8, 9 ]
+    > var data = x.data
+    [ 6, 7, 8, 9 ]
 
     See Also
     --------
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
index 7bd84999a63c..d3dcd3089d4d 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/index.d.ts
@@ -23,22 +23,30 @@
 import { ndarray } from '@stdlib/types/ndarray';
 
 /**
-* Adds a scalar constant to each element in an ndarray.
+* Adds a scalar constant to each element in a one-dimensional ndarray.
 *
-* @param x - input ndarray
-* @param alpha - scalar constant
+* @param arrays - array-like object containing a one-dimensional input ndarray and a zero-dimensional ndarray containing a scalar constant
 * @returns input ndarray
 *
 * @example
 * var ndarray = require( '@stdlib/ndarray/ctor' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var ndarray2array = require( '@stdlib/ndarray/to-array' );
 *
 * var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
 * var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
 *
-* var out = gapx( x, 5.0 );
-* // returns <ndarray>[ 6.0, 7.0, 8.0, 9.0 ]
+* var alpha = scalar2ndarray( 5.0, {
+*     'dtype': 'generic'
+* });
+*
+* var out = gapx( [ x, alpha ] );
+* // returns <ndarray>
+*
+* var arr = ndarray2array( out );
+* // returns [ 6, 7, 8, 9 ]
 */
-declare function gapx( x: ndarray, alpha: number ): ndarray;
+declare function gapx( arrays: [ ndarray, ndarray ] ): ndarray;
 
 
 // EXPORTS //
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/test.ts b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/test.ts
index b56e787af233..b3a1de9964bf 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/test.ts
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/docs/types/test.ts
@@ -16,6 +16,8 @@
 * limitations under the License.
 */
 
+import zeros = require( '@stdlib/ndarray/base/zeros' );
+import scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
 import gapx = require( './index' );
 
 
@@ -23,40 +25,29 @@ import gapx = require( './index' );
 
 // The function returns an ndarray...
 {
-	const x: any = null;
-	gapx( x, 5.0 ); // $ExpectType ndarray
+	const x = zeros( 'generic', [ 3 ], 'row-major' );
+	const alpha = scalar2ndarray( 5.0, { 'dtype': 'generic' } );
+	gapx( [ x, alpha ] ); // $ExpectType ndarray
 }
 
-// The compiler throws an error if the function is provided a first argument which is not an ndarray...
+// The compiler throws an error if the function is provided a first argument which is not an array-like object containing ndarrays...
 {
-	gapx( 123, 5.0 ); // $ExpectError
-	gapx( true, 5.0 ); // $ExpectError
-	gapx( false, 5.0 ); // $ExpectError
-	gapx( null, 5.0 ); // $ExpectError
-	gapx( undefined, 5.0 ); // $ExpectError
-	gapx( '5', 5.0 ); // $ExpectError
-	gapx( [ '1', '2' ], 5.0 ); // $ExpectError
-	gapx( {}, 5.0 ); // $ExpectError
-	gapx( ( x: number ): number => x, 5.0 ); // $ExpectError
-}
-
-// The compiler throws an error if the function is provided a second argument which is not a number...
-{
-	const x: any = null;
-	gapx( x, '5' ); // $ExpectError
-	gapx( x, true ); // $ExpectError
-	gapx( x, false ); // $ExpectError
-	gapx( x, null ); // $ExpectError
-	gapx( x, undefined ); // $ExpectError
-	gapx( x, [ '1' ] ); // $ExpectError
-	gapx( x, {} ); // $ExpectError
-	gapx( x, ( x: number ): number => x ); // $ExpectError
+	const alpha = scalar2ndarray( 5.0, { 'dtype': 'generic' } );
+	gapx( 123 ); // $ExpectError
+	gapx( true ); // $ExpectError
+	gapx( false ); // $ExpectError
+	gapx( null ); // $ExpectError
+	gapx( undefined ); // $ExpectError
+	gapx( '5' ); // $ExpectError
+	gapx( [ '1', '2' ] ); // $ExpectError
+	gapx( {} ); // $ExpectError
+	gapx( ( x: number ): number => x ); // $ExpectError
 }
 
 // The compiler throws an error if the function is provided an unsupported number of arguments...
 {
-	const x: any = null;
+	const x = zeros( 'generic', [ 3 ], 'row-major' );
+	const alpha = scalar2ndarray( 5.0, { 'dtype': 'generic' } );
 	gapx(); // $ExpectError
-	gapx( x ); // $ExpectError
-	gapx( x, 5.0, 10 ); // $ExpectError
+	gapx( [ x, alpha ], 10 ); // $ExpectError
 }
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/examples/index.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/examples/index.js
index 0c94bba87269..ea189e30179a 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/examples/index.js
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/examples/index.js
@@ -18,17 +18,26 @@
 
 'use strict';
 
+// MODULES //
+
 var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
 var ndarray = require( '@stdlib/ndarray/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
 var gapx = require( './../lib' );
 
+
+// MAIN //
+
 var xbuf = discreteUniform( 10, 0, 100, {
 	'dtype': 'generic'
 });
 var x = new ndarray( 'generic', xbuf, [ 10 ], [ 1 ], 0, 'row-major' );
+console.log( ndarray2array( x ) );
 
-console.log( x.data );
-
-gapx( x, 5.0 );
+var alpha = scalar2ndarray( 5.0, {
+	'dtype': 'generic'
+});
 
-console.log( x.data );
+gapx( [ x, alpha ] );
+console.log( ndarray2array( x ) );
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
index 40b3a03842f9..c52de49b34b5 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/index.js
@@ -19,19 +19,28 @@
 'use strict';
 
 /**
-* Add a scalar constant to each element in an ndarray.
+* Add a scalar constant to each element in a one-dimensional ndarray.
 *
 * @module @stdlib/blas/ext/base/ndarray/gapx
 *
 * @example
 * var ndarray = require( '@stdlib/ndarray/ctor' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var ndarray2array = require( '@stdlib/ndarray/to-array' );
 * var gapx = require( '@stdlib/blas/ext/base/ndarray/gapx' );
 *
 * var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
 * var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
 *
-* var out = gapx( x, 5.0 );
-* // returns <ndarray>[ 6.0, 7.0, 8.0, 9.0 ]
+* var alpha = scalar2ndarray( 5.0, {
+*     'dtype': 'generic'
+* });
+*
+* var out = gapx( [ x, alpha ] );
+* // returns <ndarray>
+*
+* var arr = ndarray2array( out );
+* // returns [ 6, 7, 8, 9 ]
 */
 
 // MODULES //
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/main.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/main.js
index ef583ac93740..6bbb2d3ed40d 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/main.js
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/lib/main.js
@@ -25,43 +25,39 @@ var strided = require( '@stdlib/blas/ext/base/gapx' ).ndarray;
 var getStride = require( '@stdlib/ndarray/base/stride' );
 var getOffset = require( '@stdlib/ndarray/base/offset' );
 var getData = require( '@stdlib/ndarray/base/data-buffer' );
+var ndarraylike2scalar = require( '@stdlib/ndarray/base/ndarraylike2scalar' );
 
 
 // MAIN //
 
 /**
-* Adds a scalar constant to each element in an ndarray.
+* Adds a scalar constant to each element in a one-dimensional ndarray.
 *
-* @param {ndarray} x - input ndarray
-* @param {number} alpha - scalar constant
+* @param {ArrayLikeObject<Object>} arrays - array-like object containing a one-dimensional input ndarray and a zero-dimensional ndarray containing a scalar constant
 * @returns {ndarray} input ndarray
 *
 * @example
 * var ndarray = require( '@stdlib/ndarray/ctor' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var ndarray2array = require( '@stdlib/ndarray/to-array' );
 *
 * var xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
 * var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
 *
-* gapx( x, 5.0 );
+* var alpha = scalar2ndarray( 5.0, {
+*     'dtype': 'generic'
+* });
 *
-* var y = x.data;
-* // returns [ 6.0, 7.0, 8.0, 9.0 ]
+* var out = gapx( [ x, alpha ] );
+* // returns <ndarray>
+*
+* var arr = ndarray2array( out );
+* // returns [ 6, 7, 8, 9 ]
 */
-function gapx( x, alpha ) {
-	var buf;
-	var sx;
-	var ox;
-	var N;
-
-	N = numelDimension( x, 0 );
-	if ( N <= 0 ) {
-		return x;
-	}
-	buf = getData( x );
-	sx = getStride( x, 0 );
-	ox = getOffset( x );
+function gapx( arrays ) {
+	var x = arrays[ 0 ];
 
-	strided( N, alpha, buf, sx, ox );
+	strided( numelDimension( x, 0 ), ndarraylike2scalar( arrays[ 1 ] ), getData( x ), getStride( x, 0 ), getOffset( x ) ); // eslint-disable-line max-len
 	return x;
 }
 
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/package.json b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/package.json
index 48e75fd3771b..95064334ef22 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/package.json
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/package.json
@@ -1,7 +1,7 @@
 {
   "name": "@stdlib/blas/ext/base/ndarray/gapx",
   "version": "0.0.0",
-  "description": "Add a scalar constant to each element in an ndarray.",
+  "description": "Add a scalar constant to each element in a one-dimensional ndarray.",
   "license": "Apache-2.0",
   "author": {
     "name": "The Stdlib Authors",
diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/test/test.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/test/test.js
index 560748028f6c..f0f31b59d4fe 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/test/test.js
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/test/test.js
@@ -21,8 +21,9 @@
 // MODULES //
 
 var tape = require( 'tape' );
-var Float64Array = require( '@stdlib/array/float64' );
 var ndarray = require( '@stdlib/ndarray/ctor' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var getData = require( '@stdlib/ndarray/base/data-buffer' );
 var gapx = require( './../lib' );
 
 
@@ -36,126 +37,79 @@ tape( 'main export is a function', function test( t ) {
 
 tape( 'the function adds a scalar constant to each element in an ndarray', function test( t ) {
 	var expected;
+	var alpha;
 	var xbuf;
 	var x;
-
-	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-	x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
-
-	expected = new Float64Array( [ 6.0, 7.0, 8.0, 9.0 ] );
-
-	gapx( x, 5.0 );
-
-	t.deepEqual( x.data, expected, 'returns expected value' );
+	xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+	x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+	expected = [ 6, 7, 8, 9 ];
+	alpha = scalar2ndarray( 5.0, {
+		'dtype': 'generic'
+	});
+	gapx( [ x, alpha ] );
+	t.deepEqual( getData( x ), expected, 'returns expected value' );
 	t.end();
 });
 
 tape( 'the function returns the input ndarray', function test( t ) {
+	var alpha;
 	var xbuf;
 	var x;
 	var y;
-
-	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-	x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
-
-	y = gapx( x, 5.0 );
-
+	xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+	x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
+	alpha = scalar2ndarray( 5.0, {
+		'dtype': 'generic'
+	});
+	y = gapx( [ x, alpha ] );
 	t.strictEqual( y, x, 'returns expected value' );
 	t.end();
 });
 
 tape( 'the function supports ndarrays with negative strides', function test( t ) {
 	var expected;
+	var alpha;
 	var xbuf;
 	var x;
-
-	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-	x = new ndarray( 'float64', xbuf, [ 4 ], [ -1 ], 3, 'row-major' );
-
-	expected = new Float64Array( [ 6.0, 7.0, 8.0, 9.0 ] );
-
-	gapx( x, 5.0 );
-
-	t.deepEqual( x.data, expected, 'returns expected value' );
+	xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
+	x = new ndarray( 'generic', xbuf, [ 4 ], [ -1 ], 3, 'row-major' );
+	expected = [ 6, 7, 8, 9 ];
+	alpha = scalar2ndarray( 5.0, {
+		'dtype': 'generic'
+	});
+	gapx( [ x, alpha ] );
+	t.deepEqual( getData( x ), expected, 'returns expected value' );
 	t.end();
 });
 
-tape( 'the function supports ndarrays with an offset', function test( t ) {
+tape( 'the function supports ndarrays with non-zero offsets', function test( t ) {
 	var expected;
+	var alpha;
 	var xbuf;
 	var x;
-
-	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
-	x = new ndarray( 'float64', xbuf, [ 3 ], [ 1 ], 2, 'row-major' );
-
-	expected = new Float64Array( [ 1.0, 2.0, 8.0, 9.0, 10.0 ] );
-
-	gapx( x, 5.0 );
-
-	t.deepEqual( x.data, expected, 'returns expected value' );
+	xbuf = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+	x = new ndarray( 'generic', xbuf, [ 3 ], [ 1 ], 2, 'row-major' );
+	expected = [ 1, 2, 8, 9, 10 ];
+	alpha = scalar2ndarray( 5.0, {
+		'dtype': 'generic'
+	});
+	gapx( [ x, alpha ] );
+	t.deepEqual( getData( x ), expected, 'returns expected value' );
 	t.end();
 });
 
 tape( 'the function supports zero-length ndarrays', function test( t ) {
 	var expected;
+	var alpha;
 	var xbuf;
 	var x;
-
-	xbuf = new Float64Array( [] );
-	x = new ndarray( 'float64', xbuf, [ 0 ], [ 1 ], 0, 'row-major' );
-
-	expected = new Float64Array( [] );
-
-	gapx( x, 5.0 );
-
-	t.deepEqual( x.data, expected, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function supports adding zero', function test( t ) {
-	var expected;
-	var xbuf;
-	var x;
-
-	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-	x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
-
-	expected = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-
-	gapx( x, 0.0 );
-
-	t.deepEqual( x.data, expected, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function supports negative constants', function test( t ) {
-	var expected;
-	var xbuf;
-	var x;
-
-	xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
-	x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
-
-	expected = new Float64Array( [ -4.0, -3.0, -2.0, -1.0 ] );
-
-	gapx( x, -5.0 );
-
-	t.deepEqual( x.data, expected, 'returns expected value' );
-	t.end();
-});
-
-tape( 'the function supports generic arrays', function test( t ) {
-	var expected;
-	var xbuf;
-	var x;
-
-	xbuf = [ 1.0, 2.0, 3.0, 4.0 ];
-	x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
-
-	expected = [ 6.0, 7.0, 8.0, 9.0 ];
-
-	gapx( x, 5.0 );
-
-	t.deepEqual( x.data, expected, 'returns expected value' );
+	xbuf = [];
+	x = new ndarray( 'generic', xbuf, [ 0 ], [ 1 ], 0, 'row-major' );
+	expected = [];
+	alpha = scalar2ndarray( 5.0, {
+		'dtype': 'generic'
+	});
+	gapx( [ x, alpha ] );
+	t.deepEqual( getData( x ), expected, 'returns expected value' );
 	t.end();
 });

From b9f7a389b9d4c2dfc64c4afa236eaabb3f481dad Mon Sep 17 00:00:00 2001
From: Aman Singh <amansingh080704@gmail.com>
Date: Mon, 22 Dec 2025 08:15:01 +0530
Subject: [PATCH 5/5] fix: gapx benchmark - use @stdlib/string/format per RFC
 #8647

---
 .../@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js  | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
index 1a4cc6093a6a..cb75d033c53a 100644
--- a/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/blas/ext/base/ndarray/gapx/benchmark/benchmark.js
@@ -25,6 +25,7 @@ var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
 var pow = require( '@stdlib/math/base/special/pow' );
 var ndarray = require( '@stdlib/ndarray/ctor' );
 var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var format = require( '@stdlib/string/format' );
 var pkg = require( './../package.json' ).name;
 var gapx = require( './../lib' );
 
@@ -103,7 +104,7 @@ function main() {
 	for ( i = min; i <= max; i++ ) {
 		len = pow( 10, i );
 		f = createBenchmark( len );
-		bench( pkg+':len='+len, f );
+		bench( format( '%s:len=%d', pkg, len ), f );
 	}
 }