From a575f0b8cdb3bb817a9e26126d51579963730828 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Mon, 21 Sep 2026 19:30:19 +0530
Subject: [PATCH] feat: add fft/base/fftpack/ndarray/generic/rfftf

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: passed
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../fftpack/ndarray/generic/rfftf/README.md   | 155 ++++++++++
 .../generic/rfftf/benchmark/benchmark.js      | 144 +++++++++
 .../ndarray/generic/rfftf/docs/repl.txt       |  42 +++
 .../generic/rfftf/docs/types/index.d.ts       |  69 +++++
 .../ndarray/generic/rfftf/docs/types/test.ts  |  63 ++++
 .../ndarray/generic/rfftf/examples/index.js   |  44 +++
 .../ndarray/generic/rfftf/lib/index.js        |  56 ++++
 .../fftpack/ndarray/generic/rfftf/lib/main.js |  79 +++++
 .../ndarray/generic/rfftf/package.json        |  63 ++++
 .../ndarray/generic/rfftf/test/test.js        | 285 ++++++++++++++++++
 10 files changed, 1000 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/README.md
new file mode 100644
index 000000000000..2475084b277a
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/README.md
@@ -0,0 +1,155 @@
+<!--
+
+@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.
+
+-->
+
+# rfftf
+
+> Compute the forward discrete Fourier transform (DFT) of a real-valued one-dimensional ndarray.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var rfftf = require( '@stdlib/fft/base/fftpack/ndarray/generic/rfftf' );
+```
+
+#### rfftf( arrays )
+
+Computes the forward discrete Fourier transform (DFT) of a real-valued one-dimensional ndarray.
+
+```javascript
+var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+
+var N = 4;
+var len = scalar2ndarray( N, {
+    'dtype': 'int32'
+});
+
+var w = new Float64Vector( ( 2*N ) + 34 );
+rffti( [ w, len ] );
+
+var r = new Float64Vector( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+var out = rfftf( [ r, w ] );
+// returns <ndarray>[ 10.0, -2.0, 2.0, -2.0 ]
+
+var bool = ( out === r );
+// returns true
+```
+
+The function has the following parameters:
+
+-   **arrays**: array-like object containing the following ndarrays:
+
+    -   a one-dimensional input ndarray.
+    -   a one-dimensional workspace ndarray containing pre-computed values.
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   Before calling this function, initialize the workspace ndarray by calling [`rffti`][@stdlib/fft/base/fftpack/ndarray/generic/rffti] with the same sequence length and workspace layout.
+
+-   The function performs the transform in-place (i.e., the input ndarray is **mutated**).
+
+-   For `N = 4`, the output
+
+    ```text
+    [ 10.0, -2.0, 2.0, -2.0 ]
+    ```
+
+    corresponds to a zero-frequency term `10.0`, a complex coefficient `-2.0 + 2.0i` at frequency `1`, and a Nyquist term `-2.0`.
+
+-   If `N` equals `1`, the function returns early without modifying the input, as a single data point is its own Fourier transform.
+
+-   This transform is unnormalized as a call to this function followed by a call performing a [backward transform][@stdlib/fft/base/fftpack/ndarray/generic/rfftb] will multiply the input ndarray by `N`.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var discreteUniform = require( '@stdlib/random/discrete-uniform' );
+var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+var rfftf = require( '@stdlib/fft/base/fftpack/ndarray/generic/rfftf' );
+
+var N = 4;
+var r = discreteUniform( [ N ], -10, 10, {
+    'dtype': 'generic'
+});
+var w = zeros( [ ( 2*N ) + 34 ], {
+    'dtype': 'generic'
+});
+var len = scalar2ndarray( N, {
+    'dtype': 'int32'
+});
+
+console.log( ndarray2array( r ) );
+
+rffti( [ w, len ] );
+var out = rfftf( [ r, w ] );
+
+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/fft/base/fftpack/ndarray/generic/rffti]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/ndarray/generic/rffti
+
+[@stdlib/fft/base/fftpack/ndarray/generic/rfftb]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/fft/base/fftpack/ndarray/generic/rfftb
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/benchmark/benchmark.js
new file mode 100644
index 000000000000..28f134fb3d23
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/benchmark/benchmark.js
@@ -0,0 +1,144 @@
+/**
+* @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/uniform' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var copy = require( '@stdlib/ndarray/copy' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var format = require( '@stdlib/string/format' );
+var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+var pkg = require( './../package.json' ).name;
+var rfftf = require( './../lib' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'generic'
+};
+var nopts = {
+	'dtype': 'int32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} iter - number of iterations
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( iter, N ) {
+	var len;
+	var x;
+	var w;
+	var i;
+
+	x = [];
+	for ( i = 0; i < iter; i++ ) {
+		x.push( uniform( [ N ], -100.0, 100.0, options ) );
+	}
+	len = scalar2ndarray( N, nopts );
+	w = zeros( [ ( 2*N ) + 34 ], options );
+	rffti( [ w, len ] );
+
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var xc;
+		var v;
+		var i;
+
+		xc = [];
+		for ( i = 0; i < iter; i++ ) {
+			xc.push( copy( x[ i ] ) );
+		}
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			v = rfftf( [ xc[ i ], w ] );
+			if ( typeof v !== 'object' ) {
+				b.fail( 'should return an ndarray' );
+			}
+		}
+		b.toc();
+		if ( isnan( v.get( i%N ) ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var opts;
+	var iter;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		8,
+		16,
+		32,
+		64,
+		128,
+		256,
+		512,
+		1024
+	];
+
+	iter = 1e6;
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( iter, N );
+		opts = {
+			'iterations': iter
+		};
+		bench( format( '%s:N=%d', pkg, N ), opts, f );
+		iter = floor( pow( iter, 3.0/4.0 ) );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/repl.txt
new file mode 100644
index 000000000000..eb76321f5f95
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/repl.txt
@@ -0,0 +1,42 @@
+
+{{alias}}( arrays )
+    Computes the forward discrete Fourier transform (DFT) of a real-valued
+    one-dimensional ndarray.
+
+    Before calling this function, one must first initialize the workspace
+    ndarray using the corresponding initialization function with the same
+    sequence length and workspace layout.
+
+    This transform is unnormalized as a call to this function followed by a
+    call performing a backward transform will multiply the input ndarray by the
+    sequence length.
+
+    Parameters
+    ----------
+    arrays: ArrayLikeObject<ndarray>
+        Array-like object containing the following ndarrays:
+
+        - a one-dimensional input ndarray.
+        - a one-dimensional workspace ndarray containing pre-computed values.
+
+    Returns
+    -------
+    out: ndarray
+        Input ndarray.
+
+    Examples
+    --------
+    > var N = 4;
+    > var opts = { 'dtype': 'int32' };
+    > var len = {{alias:@stdlib/ndarray/from-scalar}}( N, opts );
+    > var w = new {{alias:@stdlib/ndarray/vector/float64}}( ( 2*N ) + 34 );
+    > {{alias:@stdlib/fft/base/fftpack/ndarray/generic/rffti}}( [ w, len ] );
+    > var r = new {{alias:@stdlib/ndarray/vector/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] );
+    > var out = {{alias}}( [ r, w ] )
+    <ndarray>[ 10.0, -2.0, 2.0, -2.0 ]
+    > var bool = ( out === r )
+    true
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/types/index.d.ts
new file mode 100644
index 000000000000..57a622d57e65
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/types/index.d.ts
@@ -0,0 +1,69 @@
+/*
+* @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 { floatndarray, genericndarray } from '@stdlib/types/ndarray';
+
+/**
+* Input array.
+*/
+type InputArray = floatndarray | genericndarray<number>;
+
+/**
+* Computes the forward discrete Fourier transform (DFT) of a real-valued one-dimensional ndarray.
+*
+* ## Notes
+*
+* -   The function expects the following ndarrays:
+*
+*     -   a one-dimensional input ndarray.
+*     -   a one-dimensional workspace ndarray containing pre-computed values.
+*
+* @param arrays - array-like object containing ndarrays
+* @returns input ndarray
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+*
+* var N = 4;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 2*N ) + 34 );
+* rffti( [ w, len ] );
+*
+* var r = new Float64Vector( [ 1.0, 2.0, 3.0, 4.0 ] );
+*
+* var out = rfftf( [ r, w ] );
+* // returns <ndarray>[ 10.0, -2.0, 2.0, -2.0 ]
+*
+* var bool = ( out === r );
+* // returns true
+*/
+declare function rfftf<T extends InputArray = InputArray>( arrays: [ T, InputArray ] ): T;
+
+
+// EXPORTS //
+
+export = rfftf;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/types/test.ts
new file mode 100644
index 000000000000..93755172ed77
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/docs/types/test.ts
@@ -0,0 +1,63 @@
+/*
+* @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.
+*/
+
+/* eslint-disable space-in-parens */
+
+import zeros = require( '@stdlib/ndarray/zeros' );
+import rfftf = require( './index' );
+
+
+// TESTS //
+
+// The function returns an ndarray...
+{
+	const r = zeros( [ 4 ], {
+		'dtype': 'float64'
+	});
+	const w = zeros( [ 42 ], {
+		'dtype': 'float64'
+	});
+
+	rfftf( [ r, w ] ); // $ExpectType float64ndarray
+}
+
+// The compiler throws an error if the function is provided a first argument which is not an array of ndarrays...
+{
+	rfftf( '10' ); // $ExpectError
+	rfftf( 10 ); // $ExpectError
+	rfftf( true ); // $ExpectError
+	rfftf( false ); // $ExpectError
+	rfftf( null ); // $ExpectError
+	rfftf( undefined ); // $ExpectError
+	rfftf( [] ); // $ExpectError
+	rfftf( {} ); // $ExpectError
+	rfftf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const r = zeros( [ 4 ], {
+		'dtype': 'float64'
+	});
+	const w = zeros( [ 42 ], {
+		'dtype': 'float64'
+	});
+
+	rfftf(); // $ExpectError
+	rfftf( [ r, w ], {} ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/examples/index.js
new file mode 100644
index 000000000000..14a695b25852
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/examples/index.js
@@ -0,0 +1,44 @@
+/**
+* @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';
+
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var discreteUniform = require( '@stdlib/random/discrete-uniform' );
+var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+var rfftf = require( './../lib' );
+
+var N = 4;
+var r = discreteUniform( [ N ], -10, 10, {
+	'dtype': 'generic'
+});
+var w = zeros( [ ( 2*N ) + 34 ], {
+	'dtype': 'generic'
+});
+var len = scalar2ndarray( N, {
+	'dtype': 'int32'
+});
+
+console.log( ndarray2array( r ) );
+
+rffti( [ w, len ] );
+var out = rfftf( [ r, w ] );
+
+console.log( ndarray2array( out ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/lib/index.js
new file mode 100644
index 000000000000..817efe988e81
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/lib/index.js
@@ -0,0 +1,56 @@
+/**
+* @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';
+
+/**
+* Compute the forward discrete Fourier transform (DFT) of a real-valued one-dimensional ndarray.
+*
+* @module @stdlib/fft/base/fftpack/ndarray/generic/rfftf
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+* var rfftf = require( '@stdlib/fft/base/fftpack/ndarray/generic/rfftf' );
+*
+* var N = 4;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 2*N ) + 34 );
+* rffti( [ w, len ] );
+*
+* var r = new Float64Vector( [ 1.0, 2.0, 3.0, 4.0 ] );
+*
+* var out = rfftf( [ r, w ] );
+* // returns <ndarray>[ 10.0, -2.0, 2.0, -2.0 ]
+*
+* var bool = ( out === r );
+* // returns true
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/lib/main.js
new file mode 100644
index 000000000000..88e01e41a025
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/lib/main.js
@@ -0,0 +1,79 @@
+/**
+* @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 numelDimension = require( '@stdlib/ndarray/base/numel-dimension' );
+var getStride = require( '@stdlib/ndarray/base/stride' );
+var getOffset = require( '@stdlib/ndarray/base/offset' );
+var getData = require( '@stdlib/ndarray/base/data-buffer' );
+var strided = require( '@stdlib/fft/base/fftpack/generic/rfftf' );
+
+
+// MAIN //
+
+/**
+* Computes the forward discrete Fourier transform (DFT) of a real-valued one-dimensional ndarray.
+*
+* ## Notes
+*
+* -   The function expects the following ndarrays:
+*
+*     -   a one-dimensional input ndarray.
+*     -   a one-dimensional workspace ndarray containing pre-computed values.
+*
+* @param {ArrayLikeObject<Object>} arrays - array-like object containing ndarrays
+* @returns {ndarrayLike} input ndarray
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+*
+* var N = 4;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 2*N ) + 34 );
+* rffti( [ w, len ] );
+*
+* var r = new Float64Vector( [ 1.0, 2.0, 3.0, 4.0 ] );
+*
+* var out = rfftf( [ r, w ] );
+* // returns <ndarray>[ 10.0, -2.0, 2.0, -2.0 ]
+*
+* var bool = ( out === r );
+* // returns true
+*/
+function rfftf( arrays ) {
+	var r;
+	var w;
+
+	r = arrays[ 0 ];
+	w = arrays[ 1 ];
+	strided( numelDimension( r, 0 ), getData( r ), getStride( r, 0 ), getOffset( r ), getData( w ), getStride( w, 0 ), getOffset( w ) ); // eslint-disable-line max-len
+	return r;
+}
+
+
+// EXPORTS //
+
+module.exports = rfftf;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/package.json
new file mode 100644
index 000000000000..260d52ebbc9f
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/package.json
@@ -0,0 +1,63 @@
+{
+  "name": "@stdlib/fft/base/fftpack/ndarray/generic/rfftf",
+  "version": "0.0.0",
+  "description": "Compute the forward discrete Fourier transform (DFT) of a real-valued one-dimensional 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",
+    "fft",
+    "fftpack",
+    "rfftf",
+    "fourier",
+    "transform",
+    "forward",
+    "real",
+    "ndarray"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/test/test.js
new file mode 100644
index 000000000000..c59e23d0666e
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/rfftf/test/test.js
@@ -0,0 +1,285 @@
+/**
+* @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 tape = require( 'tape' );
+var isSameFloat64Array = require( '@stdlib/assert/is-same-float64array' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
+var Float64Array = require( '@stdlib/array/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray = require( '@stdlib/ndarray/base/ctor' );
+var getData = require( '@stdlib/ndarray/data-buffer' );
+var rffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+var rfftf = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Returns a one-dimensional ndarray.
+*
+* @private
+* @param {Collection} buffer - underlying data buffer
+* @param {NonNegativeInteger} length - number of indexed elements
+* @param {integer} stride - stride length
+* @param {NonNegativeInteger} offset - index offset
+* @returns {ndarray} one-dimensional ndarray
+*/
+function vector( buffer, length, stride, offset ) {
+	return new ndarray( 'float64', buffer, [ length ], [ stride ], offset, 'row-major' );
+}
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof rfftf, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 1', function test( t ) {
+	t.strictEqual( rfftf.length, 1, 'has expected arity' );
+	t.end();
+});
+
+tape( 'the function computes the forward discrete Fourier transform of a real-valued one-dimensional ndarray', function test( t ) {
+	var expected;
+	var wBuf;
+	var rBuf;
+	var len;
+	var N;
+	var w;
+	var r;
+	var v;
+
+	N = 4;
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+	rBuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+	r = vector( rBuf, N, 1, 0 );
+
+	wBuf = new Float64Array( ( 2*N ) + 34 );
+	w = vector( wBuf, ( 2*N ) + 34, 1, 0 );
+
+	rffti( [ w, len ] );
+	v = rfftf( [ r, w ] );
+
+	expected = new Float64Array( [ 10.0, -2.0, 2.0, -2.0 ] );
+
+	t.strictEqual( v, r, 'returns expected value' );
+	t.strictEqual( isSameFloat64Array( getData( v ), expected ), true, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if provided an empty ndarray, the function returns the input ndarray unchanged', function test( t ) {
+	var expected;
+	var wBuf;
+	var rBuf;
+	var len;
+	var N;
+	var w;
+	var r;
+	var v;
+
+	N = 4;
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+	rBuf = new Float64Array( [] );
+	r = vector( rBuf, 0, 1, 0 );
+
+	wBuf = new Float64Array( ( 2*N ) + 34 );
+	w = vector( wBuf, ( 2*N ) + 34, 1, 0 );
+
+	rffti( [ w, len ] );
+	v = rfftf( [ r, w ] );
+
+	expected = new Float64Array( [] );
+	t.strictEqual( v, r, 'returns expected value' );
+	t.strictEqual( isSameFloat64Array( getData( v ), expected ), true, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'the function supports a one-dimensional ndarray having a non-unit stride', function test( t ) {
+	var expected;
+	var wBuf;
+	var rBuf;
+	var ulps;
+	var len;
+	var N;
+	var w;
+	var r;
+	var v;
+	var i;
+
+	N = 4;
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+	rBuf = new Float64Array([
+		1.0,   // 0
+		-999.0,
+		2.0,   // 1
+		-999.0,
+		3.0,   // 2
+		-999.0,
+		4.0,   // 3
+		-999.0
+	]);
+	r = vector( rBuf, N, 2, 0 );
+
+	wBuf = new Float64Array( ( ( 2*N ) + 34 ) * 2 );
+	w = vector( wBuf, ( 2*N ) + 34, 2, 0 );
+
+	rffti( [ w, len ] );
+	rfftf( [ r, w ] );
+
+	expected = new Float64Array([
+		10.0,  // 0
+		-999.0,
+		-2.0,  // 1
+		-999.0,
+		2.0,   // 2
+		-999.0,
+		-2.0,  // 3
+		-999.0
+	]);
+
+	ulps = 1;
+	for ( i = 0; i < rBuf.length; i++ ) {
+		v = rBuf[ i ];
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], ulps ), true, 'within ' + ulps + ' ULPs. index: ' + i + '. y: ' + v + '. E: ' + expected[ i ] );
+	}
+
+	t.end();
+});
+
+tape( 'the function supports a one-dimensional ndarray having a negative stride', function test( t ) {
+	var expected;
+	var wBuf;
+	var rBuf;
+	var ulps;
+	var len;
+	var N;
+	var w;
+	var r;
+	var v;
+	var i;
+
+	N = 4;
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+	rBuf = new Float64Array([
+		4.0,   // 3
+		-999.0,
+		3.0,   // 2
+		-999.0,
+		2.0,   // 1
+		-999.0,
+		1.0    // 0
+	]);
+	r = vector( rBuf, N, -2, rBuf.length-1 );
+
+	wBuf = new Float64Array( ( 2*N ) + 34 );
+	w = vector( wBuf, ( 2*N ) + 34, -1, wBuf.length-1 );
+
+	rffti( [ w, len ] );
+	rfftf( [ r, w ] );
+
+	expected = new Float64Array([
+		-2.0,  // 3
+		-999.0,
+		2.0,   // 2
+		-999.0,
+		-2.0,  // 1
+		-999.0,
+		10.0   // 0
+	]);
+
+	ulps = 1;
+	for ( i = 0; i < rBuf.length; i++ ) {
+		v = rBuf[ i ];
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], ulps ), true, 'within ' + ulps + ' ULPs. index: ' + i + '. y: ' + v + '. E: ' + expected[ i ] );
+	}
+
+	t.end();
+});
+
+tape( 'the function supports a one-dimensional ndarray having a non-zero offset', function test( t ) {
+	var expected;
+	var wBuf;
+	var rBuf;
+	var ulps;
+	var len;
+	var N;
+	var w;
+	var r;
+	var v;
+	var i;
+
+	N = 4;
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+	rBuf = new Float64Array([
+		-999.0,
+		1.0,   // 0
+		-999.0,
+		2.0,   // 1
+		-999.0,
+		3.0,   // 2
+		-999.0,
+		4.0,   // 3
+		-999.0
+	]);
+	r = vector( rBuf, N, 2, 1 );
+
+	wBuf = new Float64Array( 3 + ( ( ( 2*N ) + 34 ) * 2 ) );
+	w = vector( wBuf, ( 2*N ) + 34, 2, 3 );
+
+	rffti( [ w, len ] );
+	rfftf( [ r, w ] );
+
+	expected = new Float64Array([
+		-999.0,
+		10.0,  // 0
+		-999.0,
+		-2.0,  // 1
+		-999.0,
+		2.0,   // 2
+		-999.0,
+		-2.0,  // 3
+		-999.0
+	]);
+
+	ulps = 1;
+	for ( i = 0; i < rBuf.length; i++ ) {
+		v = rBuf[ i ];
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], ulps ), true, 'within ' + ulps + ' ULPs. index: ' + i + '. y: ' + v + '. E: ' + expected[ i ] );
+	}
+
+	t.end();
+});