From b49dc1655002dc83e22ef6fbdd7f34335328a5d2 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Wed, 28 Oct 2026 20:12:57 +0530
Subject: [PATCH 01/10] feat: add fft/rffti

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
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---
---
 lib/node_modules/@stdlib/fft/rffti/README.md  | 159 ++++++++++++++++
 .../fft/rffti/benchmark/benchmark.assign.js   | 103 ++++++++++
 .../@stdlib/fft/rffti/benchmark/benchmark.js  | 101 ++++++++++
 .../@stdlib/fft/rffti/docs/repl.txt           |  58 ++++++
 .../@stdlib/fft/rffti/docs/types/index.d.ts   | 115 ++++++++++++
 .../@stdlib/fft/rffti/docs/types/test.ts      | 133 +++++++++++++
 .../@stdlib/fft/rffti/examples/index.js       |  35 ++++
 .../@stdlib/fft/rffti/lib/assign.js           |  83 ++++++++
 .../@stdlib/fft/rffti/lib/base.js             |  84 +++++++++
 .../@stdlib/fft/rffti/lib/defaults.js         |  38 ++++
 .../@stdlib/fft/rffti/lib/dtypes.js           |  36 ++++
 .../@stdlib/fft/rffti/lib/index.js            |  75 ++++++++
 .../@stdlib/fft/rffti/lib/main.js             | 109 +++++++++++
 .../@stdlib/fft/rffti/package.json            |  65 +++++++
 .../@stdlib/fft/rffti/test/test.assign.js     | 152 +++++++++++++++
 .../@stdlib/fft/rffti/test/test.js            |  39 ++++
 .../@stdlib/fft/rffti/test/test.main.js       | 177 ++++++++++++++++++
 17 files changed, 1562 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/lib/assign.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/lib/base.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/lib/defaults.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/test/test.js
 create mode 100644 lib/node_modules/@stdlib/fft/rffti/test/test.main.js

diff --git a/lib/node_modules/@stdlib/fft/rffti/README.md b/lib/node_modules/@stdlib/fft/rffti/README.md
new file mode 100644
index 000000000000..ffcb718881e6
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/README.md
@@ -0,0 +1,159 @@
+<!--
+
+@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.
+
+-->
+
+# rffti
+
+> Return an initialized one-dimensional workspace [ndarray][@stdlib/ndarray/ctor] for computing a real-valued discrete Fourier transform.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var rffti = require( '@stdlib/fft/rffti' );
+```
+
+#### rffti( n\[, options] )
+
+Returns an initialized one-dimensional workspace [ndarray][@stdlib/ndarray/ctor] for computing a real-valued discrete Fourier transform.
+
+```javascript
+var getDType = require( '@stdlib/ndarray/dtype' );
+var getShape = require( '@stdlib/ndarray/shape' );
+
+var ws = rffti( 4 );
+// returns <ndarray>
+
+var dt = getDType( ws );
+// returns 'float64'
+
+var sh = getShape( ws );
+// returns [ 42 ]
+```
+
+The function has the following parameters:
+
+-   **n**: sequence length.
+-   **options**: function options (_optional_).
+
+The function accepts the following options:
+
+-   **dtype**: workspace [data type][@stdlib/ndarray/dtypes]. Must be a real-valued floating-point [data type][@stdlib/ndarray/dtypes]. Default: `'float64'`.
+
+To specify the workspace [data type][@stdlib/ndarray/dtypes], provide a `dtype` option.
+
+```javascript
+var getDType = require( '@stdlib/ndarray/dtype' );
+
+var ws = rffti( 4, {
+    'dtype': 'float32'
+});
+// returns <ndarray>
+
+var dt = getDType( ws );
+// returns 'float32'
+```
+
+#### rffti.assign( workspace, n )
+
+Initializes a provided one-dimensional workspace [ndarray][@stdlib/ndarray/ctor] for computing a real-valued discrete Fourier transform.
+
+```javascript
+var zeros = require( '@stdlib/ndarray/zeros' );
+
+var ws = zeros( [ 42 ], {
+    'dtype': 'float64'
+});
+// returns <ndarray>
+
+var out = rffti.assign( ws, 4 );
+// returns <ndarray>
+
+var bool = ( ws === out );
+// returns true
+```
+
+The function has the following parameters:
+
+-   **workspace**: workspace [ndarray][@stdlib/ndarray/ctor]. Must have a real-valued floating-point [data type][@stdlib/ndarray/dtypes].
+-   **n**: sequence length.
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   The returned workspace [ndarray][@stdlib/ndarray/ctor] has a length of `(2*n) + 34`.
+-   The workspace contains precomputed twiddle factors and factorization data used by the FFTPACK forward and backward real-valued FFT routines.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var getDType = require( '@stdlib/ndarray/dtype' );
+var getShape = require( '@stdlib/ndarray/shape' );
+var rffti = require( '@stdlib/fft/rffti' );
+
+// Initialize a workspace for a sequence of length 8:
+var ws = rffti( 8 );
+console.log( 'dtype: %s', getDType( ws ) );
+console.log( 'shape: [%s]', getShape( ws ).join( ', ' ) );
+
+// Initialize a single-precision workspace:
+var ws32 = rffti( 8, {
+    'dtype': 'float32'
+});
+console.log( 'dtype: %s', getDType( ws32 ) );
+console.log( 'shape: [%s]', getShape( ws32 ).join( ', ' ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[@stdlib/ndarray/ctor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/ctor
+
+[@stdlib/ndarray/dtypes]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/dtypes
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js b/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js
new file mode 100644
index 000000000000..f929119b0bb5
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js
@@ -0,0 +1,103 @@
+/**
+* @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 isndarrayLike = require( '@stdlib/assert/is-ndarray-like' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var assign = require( './../lib/assign.js' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+	var ws = zeros( [ ( 2*len ) + 34 ], options );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var out;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			out = assign( ws, len );
+			if ( !isndarrayLike( out ) ) {
+				b.fail( 'should return an ndarray' );
+			}
+		}
+		b.toc();
+		if ( !isndarrayLike( out ) ) {
+			b.fail( 'should return an ndarray' );
+		}
+		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:assign:dtype=%s,len=%d', pkg, options.dtype, len ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js
new file mode 100644
index 000000000000..37bdded76e93
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js
@@ -0,0 +1,101 @@
+/**
+* @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 isndarrayLike = require( '@stdlib/assert/is-ndarray-like' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var rffti = require( './../lib' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var ws;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			ws = rffti( len, options );
+			if ( !isndarrayLike( ws ) ) {
+				b.fail( 'should return an ndarray' );
+			}
+		}
+		b.toc();
+		if ( !isndarrayLike( ws ) ) {
+			b.fail( 'should return an ndarray' );
+		}
+		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:dtype=%s,len=%d', pkg, options.dtype, len ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/rffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/rffti/docs/repl.txt
new file mode 100644
index 000000000000..20c5f3f30b06
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/docs/repl.txt
@@ -0,0 +1,58 @@
+
+{{alias}}( n[, options] )
+    Returns an initialized one-dimensional workspace ndarray for computing a
+    real-valued discrete Fourier transform.
+
+    Parameters
+    ----------
+    n: integer
+        Sequence length.
+
+    options: Object (optional)
+        Function options.
+
+    options.dtype: string (optional)
+        Output workspace ndarray data type. Must be a real-valued floating-point
+        data type. Default: 'float64'.
+
+    Returns
+    -------
+    out: ndarray
+        Output ndarray.
+
+    Examples
+    --------
+    > var out = {{alias}}( 4 )
+    <ndarray>
+
+
+{{alias}}.assign( workspace, n )
+    Initializes a provided one-dimensional workspace ndarray for computing a
+    real-valued discrete Fourier transform.
+
+    The function modifies the workspace ndarray in-place and thus mutates the
+    input ndarray.
+
+    Parameters
+    ----------
+    workspace: ndarray
+        Workspace ndarray. Must have a real-valued floating-point data type.
+
+    n: integer
+        Sequence length.
+
+    Returns
+    -------
+    out: ndarray
+        Input ndarray.
+
+    Examples
+    --------
+    > var ws = {{alias:@stdlib/ndarray/zeros}}( [ 42 ], { 'dtype': 'float64' } );
+    > var out = {{alias}}.assign( ws, 4 )
+    <ndarray>
+    > var bool = ( out === ws )
+    true
+
+    See Also
+    --------
diff --git a/lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts
new file mode 100644
index 000000000000..8f4f1f33749c
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts
@@ -0,0 +1,115 @@
+/*
+* @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 { RealFloatingPointDataType, floatndarray } from '@stdlib/types/ndarray';
+
+/**
+* Output array.
+*/
+type OutputArray = floatndarray;
+
+/**
+* Interface defining options.
+*/
+interface Options {
+	/**
+	* Workspace data type.
+	*/
+	dtype?: RealFloatingPointDataType;
+}
+
+/**
+* Interface for initializing a workspace ndarray.
+*/
+interface Rffti {
+	/**
+	* Returns an initialized one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.
+	*
+	* @param n - sequence length
+	* @param options - function options
+	* @returns output ndarray
+	*
+	* @example
+	* var getDType = require( '@stdlib/ndarray/dtype' );
+	*
+	* var ws = rffti( 4 );
+	* // returns <ndarray>
+	*
+	* var dt = getDType( ws );
+	* // returns 'float64'
+	*/
+	( n: number, options?: Options ): OutputArray;
+
+	/**
+	* Initializes a provided one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.
+	*
+	* @param workspace - workspace ndarray
+	* @param n - sequence length
+	* @returns input ndarray
+	*
+	* @example
+	* var zeros = require( '@stdlib/ndarray/zeros' );
+	*
+	* var ws = zeros( [ 42 ], { 'dtype': 'float64' } );
+	*
+	* var out = rffti.assign( ws, 4 );
+	* // returns <ndarray>
+	*
+	* var bool = ( out === ws );
+	* // returns true
+	*/
+	assign<T extends OutputArray = OutputArray>( workspace: T, n: number ): T;
+}
+
+/**
+* Returns an initialized one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.
+*
+* @param n - sequence length
+* @param options - function options
+* @returns output ndarray
+*
+* @example
+* var getDType = require( '@stdlib/ndarray/dtype' );
+*
+* var ws = rffti( 4 );
+* // returns <ndarray>
+*
+* var dt = getDType( ws );
+* // returns 'float64'
+*
+* @example
+* var zeros = require( '@stdlib/ndarray/zeros' );
+*
+* var ws = zeros( [ 42 ], { 'dtype': 'float64' } );
+*
+* var out = rffti.assign( ws, 4 );
+* // returns <ndarray>
+*
+* var bool = ( out === ws );
+* // returns true
+*/
+declare const rffti: Rffti;
+
+
+// EXPORTS //
+
+export = rffti;
diff --git a/lib/node_modules/@stdlib/fft/rffti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/rffti/docs/types/test.ts
new file mode 100644
index 000000000000..5ccdd865d035
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/docs/types/test.ts
@@ -0,0 +1,133 @@
+/*
+* @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 */
+
+/// <reference types="@stdlib/types"/>
+
+import zeros = require( '@stdlib/ndarray/zeros' );
+import rffti = require( './index' );
+
+
+// TESTS //
+
+// The function returns an ndarray...
+{
+	rffti( 4 ); // $ExpectType floatndarray
+	rffti( 4, {} ); // $ExpectType floatndarray
+	rffti( 4, { 'dtype': 'float64' } ); // $ExpectType floatndarray
+	rffti( 4, { 'dtype': 'float32' } ); // $ExpectType floatndarray
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+	rffti( '5' ); // $ExpectError
+	rffti( true ); // $ExpectError
+	rffti( false ); // $ExpectError
+	rffti( null ); // $ExpectError
+	rffti( void 0 ); // $ExpectError
+	rffti( [] ); // $ExpectError
+	rffti( {} ); // $ExpectError
+	rffti( ( x: number ): number => x ); // $ExpectError
+
+	rffti( '5', {} ); // $ExpectError
+	rffti( true, {} ); // $ExpectError
+	rffti( false, {} ); // $ExpectError
+	rffti( null, {} ); // $ExpectError
+	rffti( void 0, {} ); // $ExpectError
+	rffti( [], {} ); // $ExpectError
+	rffti( {}, {} ); // $ExpectError
+	rffti( ( x: number ): number => x, {} ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an options argument which is not an object...
+{
+	rffti( 4, '5' ); // $ExpectError
+	rffti( 4, 5 ); // $ExpectError
+	rffti( 4, true ); // $ExpectError
+	rffti( 4, false ); // $ExpectError
+	rffti( 4, null ); // $ExpectError
+	rffti( 4, [] ); // $ExpectError
+	rffti( 4, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an invalid `dtype` option...
+{
+	rffti( 4, { 'dtype': '5' } ); // $ExpectError
+	rffti( 4, { 'dtype': 5 } ); // $ExpectError
+	rffti( 4, { 'dtype': true } ); // $ExpectError
+	rffti( 4, { 'dtype': false } ); // $ExpectError
+	rffti( 4, { 'dtype': null } ); // $ExpectError
+	rffti( 4, { 'dtype': [] } ); // $ExpectError
+	rffti( 4, { 'dtype': {} } ); // $ExpectError
+	rffti( 4, { 'dtype': ( x: number ): number => x } ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	rffti(); // $ExpectError
+	rffti( 4, {}, {} ); // $ExpectError
+}
+
+// Attached to the function is an `assign` method which returns an ndarray...
+{
+	const ws = zeros( [ 42 ], {
+		'dtype': 'float64'
+	});
+
+	rffti.assign( ws, 4 ); // $ExpectType float64ndarray
+}
+
+// The compiler throws an error if the `assign` method is provided a first argument which is not an ndarray...
+{
+	rffti.assign( '5', 4 ); // $ExpectError
+	rffti.assign( 5, 4 ); // $ExpectError
+	rffti.assign( true, 4 ); // $ExpectError
+	rffti.assign( false, 4 ); // $ExpectError
+	rffti.assign( null, 4 ); // $ExpectError
+	rffti.assign( void 0, 4 ); // $ExpectError
+	rffti.assign( {}, 4 ); // $ExpectError
+	rffti.assign( ( x: number ): number => x, 4 ); // $ExpectError
+}
+
+// The compiler throws an error if the `assign` method is provided a second argument which is not a number...
+{
+	const ws = zeros( [ 42 ], {
+		'dtype': 'float64'
+	});
+
+	rffti.assign( ws, '5' ); // $ExpectError
+	rffti.assign( ws, true ); // $ExpectError
+	rffti.assign( ws, false ); // $ExpectError
+	rffti.assign( ws, null ); // $ExpectError
+	rffti.assign( ws, void 0 ); // $ExpectError
+	rffti.assign( ws, [] ); // $ExpectError
+	rffti.assign( ws, {} ); // $ExpectError
+	rffti.assign( ws, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `assign` method is provided an unsupported number of arguments...
+{
+	const ws = zeros( [ 42 ], {
+		'dtype': 'float64'
+	});
+
+	rffti.assign(); // $ExpectError
+	rffti.assign( ws ); // $ExpectError
+	rffti.assign( ws, 4, {} ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/rffti/examples/index.js b/lib/node_modules/@stdlib/fft/rffti/examples/index.js
new file mode 100644
index 000000000000..7858dece30d8
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/examples/index.js
@@ -0,0 +1,35 @@
+/**
+* @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 getDType = require( '@stdlib/ndarray/dtype' );
+var getShape = require( '@stdlib/ndarray/shape' );
+var rffti = require( './../lib' );
+
+// Initialize a workspace for a sequence of length 8:
+var ws = rffti( 8 );
+console.log( 'dtype: %s', getDType( ws ) );
+console.log( 'shape: [%s]', getShape( ws ).join( ', ' ) );
+
+// Initialize a single-precision workspace:
+var ws32 = rffti( 8, {
+	'dtype': 'float32'
+});
+console.log( 'dtype: %s', getDType( ws32 ) );
+console.log( 'shape: [%s]', getShape( ws32 ).join( ', ' ) );
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/assign.js b/lib/node_modules/@stdlib/fft/rffti/lib/assign.js
new file mode 100644
index 000000000000..e8a9799c6bb8
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/assign.js
@@ -0,0 +1,83 @@
+/**
+* @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 isPositiveInteger = require( '@stdlib/assert/is-positive-integer' ).isPrimitive;
+var isndarrayLike = require( '@stdlib/assert/is-ndarray-like' );
+var resolveStr = require( '@stdlib/ndarray/base/dtype-resolve-str' );
+var getDType = require( '@stdlib/ndarray/dtype' );
+var contains = require( '@stdlib/array/base/assert/contains' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var join = require( '@stdlib/array/base/join' );
+var format = require( '@stdlib/string/format' );
+var DTYPES = require( './dtypes.js' ).odtypes;
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Initializes a one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.
+*
+* @param {ndarrayLike} workspace - workspace ndarray
+* @param {PositiveInteger} n - sequence length
+* @throws {TypeError} first argument must be an ndarray-like object
+* @throws {TypeError} first argument must have a supported data type
+* @throws {TypeError} second argument must be a positive integer
+* @returns {ndarray} input ndarray
+*
+* @example
+* var zeros = require( '@stdlib/ndarray/zeros' );
+*
+* var ws = zeros( [ 42 ], { 'dtype': 'float64' } );
+*
+* var out = assign( ws, 4 );
+* // returns <ndarray>
+*
+* var bool = ( out === ws );
+* // returns true
+*/
+function assign( workspace, n ) {
+	var dt;
+
+	if ( !isndarrayLike( workspace ) ) {
+		throw new TypeError( format( 'invalid argument. First argument must be an ndarray. Value: `%s`.', workspace ) );
+	}
+	dt = resolveStr( getDType( workspace ) );
+	if ( !contains( DTYPES, dt ) ) {
+		throw new TypeError( format( 'invalid argument. First argument must have one of the following data types: "%s". Data type: `%s`.', join( DTYPES, '", "' ), dt ) );
+	}
+	if ( !isPositiveInteger( n ) ) {
+		throw new TypeError( format( 'invalid argument. Second argument must be a positive integer. Value: `%s`.', n ) );
+	}
+
+	// Initialize the workspace:
+	base( workspace, scalar2ndarray( n, {
+		'dtype': 'int32'
+	}));
+
+	return workspace;
+}
+
+
+// EXPORTS //
+
+module.exports = assign;
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/base.js b/lib/node_modules/@stdlib/fft/rffti/lib/base.js
new file mode 100644
index 000000000000..9b1cb2e82728
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/base.js
@@ -0,0 +1,84 @@
+/**
+* @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 dtypes = require( '@stdlib/ndarray/dtypes' );
+var factory = require( '@stdlib/ndarray/base/nullary-strided1d-dispatch-factory' );
+var drffti = require( '@stdlib/fft/base/fftpack/ndarray/float64/rffti' );
+var srffti = require( '@stdlib/fft/base/fftpack/ndarray/float32/rffti' );
+var grffti = require( '@stdlib/fft/base/fftpack/ndarray/generic/rffti' );
+var DTYPES = require( './dtypes.js' ).odtypes;
+
+
+// VARIABLES //
+
+var idtypes0 = dtypes( 'integer_and_generic' );
+var table = {
+	'types': [
+		'float64', // workspace
+		'float32'  // workspace
+	],
+	'fcns': [
+		drffti,
+		srffti
+	],
+	'default': grffti
+};
+
+
+// MAIN //
+
+/**
+* Initializes a one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.
+*
+* @private
+* @name rffti
+* @type {Function}
+* @param {ndarray} workspace - workspace ndarray
+* @param {ndarray} N - zero-dimensional ndarray containing the sequence length
+* @throws {TypeError} first argument must be an ndarray-like object
+* @throws {TypeError} first argument must have a supported data type
+* @throws {TypeError} second argument must be an ndarray-like object
+* @throws {TypeError} options argument must be an object
+* @throws {RangeError} dimension indices must not exceed input ndarray bounds
+* @throws {RangeError} number of dimension indices must not exceed the number of input ndarray dimensions
+* @throws {Error} must provide valid options
+* @returns {ndarray} workspace ndarray
+*
+* @example
+* var zeros = require( '@stdlib/ndarray/zeros' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+*
+* var ws = zeros( [ 42 ], {
+*     'dtype': 'float64'
+* });
+*
+* var out = rffti( ws, scalar2ndarray( 4, {
+*     'dtype': 'int32'
+* }));
+* // returns <ndarray>
+*/
+var rffti = factory( table, [ idtypes0 ], DTYPES );
+
+
+// EXPORTS //
+
+module.exports = rffti;
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/defaults.js b/lib/node_modules/@stdlib/fft/rffti/lib/defaults.js
new file mode 100644
index 000000000000..e45486496685
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/defaults.js
@@ -0,0 +1,38 @@
+/**
+* @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';
+
+// MAIN //
+
+/**
+* Returns default options.
+*
+* @private
+* @returns {Object} default options
+*/
+function defaults() {
+	return {
+		'dtype': 'float64'
+	};
+}
+
+
+// EXPORTS //
+
+module.exports = defaults;
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js b/lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js
new file mode 100644
index 000000000000..de783a611979
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js
@@ -0,0 +1,36 @@
+/**
+* @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 dtypes2strings = require( '@stdlib/ndarray/base/dtypes2strings' );
+var dtypes = require( '@stdlib/ndarray/dtypes' );
+
+
+// MAIN //
+
+var dt = {
+	'odtypes': dtypes2strings( dtypes( 'real_floating_point' ) )
+};
+
+
+// EXPORTS //
+
+module.exports = dt;
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/index.js b/lib/node_modules/@stdlib/fft/rffti/lib/index.js
new file mode 100644
index 000000000000..8329d7b09378
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/index.js
@@ -0,0 +1,75 @@
+/**
+* @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';
+
+/**
+* Return an initialized one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.
+*
+* @module @stdlib/fft/rffti
+*
+* @example
+* var getDType = require( '@stdlib/ndarray/dtype' );
+* var rffti = require( '@stdlib/fft/rffti' );
+*
+* var ws = rffti( 4 );
+* // returns <ndarray>
+*
+* var dt = getDType( ws );
+* // returns 'float64'
+*
+* @example
+* var getDType = require( '@stdlib/ndarray/dtype' );
+* var rffti = require( '@stdlib/fft/rffti' );
+*
+* var ws = rffti( 4, { 'dtype': 'float32' } );
+* // returns <ndarray>
+*
+* var dt = getDType( ws );
+* // returns 'float32'
+*
+* @example
+* var zeros = require( '@stdlib/ndarray/zeros' );
+* var rffti = require( '@stdlib/fft/rffti' );
+*
+* var ws = zeros( [ 42 ], { 'dtype': 'float64' } );
+*
+* var out = rffti.assign( ws, 4 );
+* // returns <ndarray>
+*
+* var bool = ( out === ws );
+* // returns true
+*/
+
+// MODULES //
+
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var main = require( './main.js' );
+var assign = require( './assign.js' );
+
+
+// MAIN //
+
+setReadOnly( main, 'assign', assign );
+
+
+// EXPORTS //
+
+module.exports = main;
+
+// exports: { "assign": "main.assign" }
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/main.js b/lib/node_modules/@stdlib/fft/rffti/lib/main.js
new file mode 100644
index 000000000000..c860e4deb72f
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/main.js
@@ -0,0 +1,109 @@
+/**
+* @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 hasOwnProp = require( '@stdlib/assert/has-own-property' );
+var isPlainObject = require( '@stdlib/assert/is-plain-object' );
+var isPositiveInteger = require( '@stdlib/assert/is-positive-integer' ).isPrimitive;
+var isDataType = require( '@stdlib/ndarray/base/assert/is-data-type' );
+var resolveStr = require( '@stdlib/ndarray/base/dtype-resolve-str' );
+var contains = require( '@stdlib/array/base/assert/contains' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var join = require( '@stdlib/array/base/join' );
+var format = require( '@stdlib/string/format' );
+var DTYPES = require( './dtypes.js' ).odtypes;
+var defaults = require( './defaults.js' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Returns an initialized one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.
+*
+* @param {PositiveInteger} n - sequence length
+* @param {Options} [options] - function options
+* @param {string} [options.dtype="float64"] - workspace data type
+* @throws {TypeError} first argument must be a positive integer
+* @throws {TypeError} options argument must be an object
+* @throws {Error} must provide valid options
+* @returns {ndarray} output ndarray
+*
+* @example
+* var getDType = require( '@stdlib/ndarray/dtype' );
+*
+* var ws = rffti( 4 );
+* // returns <ndarray>
+*
+* var dt = getDType( ws );
+* // returns 'float64'
+*
+* @example
+* var getDType = require( '@stdlib/ndarray/dtype' );
+*
+* var ws = rffti( 4, { 'dtype': 'float32' } );
+* // returns <ndarray>
+*
+* var dt = getDType( ws );
+* // returns 'float32'
+*/
+function rffti( n ) {
+	var options;
+	var opts;
+	var dt;
+	var ws;
+
+	if ( !isPositiveInteger( n ) ) {
+		throw new TypeError( format( 'invalid argument. First argument must be a positive integer. Value: `%s`.', n ) );
+	}
+	options = defaults();
+
+	if ( arguments.length > 1 ) {
+		opts = arguments[ 1 ];
+		if ( !isPlainObject( opts ) ) {
+			throw new TypeError( format( 'invalid argument. Options argument must be an object. Value: `%s`.', opts ) );
+		}
+		if ( hasOwnProp( opts, 'dtype' ) ) {
+			dt = resolveStr( opts.dtype );
+			if ( !isDataType( opts.dtype ) || !contains( DTYPES, dt ) ) {
+				throw new TypeError( format( 'invalid option. `%s` option must be one of the following: "%s". Option: `%s`.', 'dtype', join( DTYPES, '", "' ), opts.dtype ) );
+			}
+			options.dtype = dt;
+		}
+	}
+	// Create the workspace ndarray:
+	ws = zeros( [ ( 2*n ) + 34 ], {
+		'dtype': options.dtype
+	});
+
+	// Initialize the workspace:
+	base( ws, scalar2ndarray( n, {
+		'dtype': 'int32'
+	}));
+
+	return ws;
+}
+
+
+// EXPORTS //
+
+module.exports = rffti;
diff --git a/lib/node_modules/@stdlib/fft/rffti/package.json b/lib/node_modules/@stdlib/fft/rffti/package.json
new file mode 100644
index 000000000000..eb27ac331d39
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/package.json
@@ -0,0 +1,65 @@
+{
+  "name": "@stdlib/fft/rffti",
+  "version": "0.0.0",
+  "description": "Return an initialized one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.",
+  "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",
+    "fft",
+    "fourier",
+    "transform",
+    "workspace",
+    "initialize",
+    "rffti",
+    "ndarray"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js b/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
new file mode 100644
index 000000000000..096bd9420c33
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
@@ -0,0 +1,152 @@
+/**
+* @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 getDType = require( '@stdlib/ndarray/dtype' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var assign = require( './../lib/assign.js' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof assign, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function throws an error if provided a first argument which is not an ndarray-like object', function test( t ) {
+	var values;
+	var i;
+
+	values = [
+		'5',
+		5,
+		NaN,
+		true,
+		false,
+		null,
+		void 0,
+		[],
+		{},
+		function noop() {}
+	];
+	for ( i = 0; i < values.length; i++ ) {
+		t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+	}
+	t.end();
+
+	function badValue( value ) {
+		return function badValue() {
+			assign( value, 4 );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided a first argument which is not an ndarray-like object having a supported data type', function test( t ) {
+	var values;
+	var i;
+
+	values = [
+		zeros( [ 42 ], {
+			'dtype': 'int32'
+		}),
+		zeros( [ 42 ], {
+			'dtype': 'generic'
+		})
+	];
+	for ( i = 0; i < values.length; i++ ) {
+		t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+	}
+	t.end();
+
+	function badValue( value ) {
+		return function badValue() {
+			assign( value, 4 );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided a second argument which is not a positive integer', function test( t ) {
+	var values;
+	var ws;
+	var i;
+
+	ws = zeros( [ 42 ], {
+		'dtype': 'float64'
+	});
+
+	values = [
+		'5',
+		-1,
+		0,
+		3.14,
+		NaN,
+		true,
+		false,
+		null,
+		void 0,
+		[],
+		{},
+		function noop() {}
+	];
+	for ( i = 0; i < values.length; i++ ) {
+		t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+	}
+	t.end();
+
+	function badValue( value ) {
+		return function badValue() {
+			assign( ws, value );
+		};
+	}
+});
+
+tape( 'the function initializes a provided float64 workspace ndarray', function test( t ) {
+	var out;
+	var ws;
+
+	ws = zeros( [ 42 ], {
+		'dtype': 'float64'
+	});
+	out = assign( ws, 4 );
+
+	t.strictEqual( out, ws, 'returns expected value' );
+	t.strictEqual( String( getDType( out ) ), 'float64', 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'the function initializes a provided float32 workspace ndarray', function test( t ) {
+	var out;
+	var ws;
+
+	ws = zeros( [ 42 ], {
+		'dtype': 'float32'
+	});
+	out = assign( ws, 4 );
+
+	t.strictEqual( out, ws, 'returns expected value' );
+	t.strictEqual( String( getDType( out ) ), 'float32', 'returns expected value' );
+
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.js b/lib/node_modules/@stdlib/fft/rffti/test/test.js
new file mode 100644
index 000000000000..e4d642f9d7e3
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/test/test.js
@@ -0,0 +1,39 @@
+/**
+* @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 isMethod = require( '@stdlib/assert/is-method' );
+var rffti = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof rffti, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'attached to the main export is an `assign` method', function test( t ) {
+	t.strictEqual( isMethod( rffti, 'assign' ), true, 'returns expected value' );
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.main.js b/lib/node_modules/@stdlib/fft/rffti/test/test.main.js
new file mode 100644
index 000000000000..3c92adbabfc3
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/rffti/test/test.main.js
@@ -0,0 +1,177 @@
+/**
+* @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 getDType = require( '@stdlib/ndarray/dtype' );
+var getShape = require( '@stdlib/ndarray/shape' );
+var rffti = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof rffti, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function throws an error if provided a first argument which is not a positive integer', function test( t ) {
+	var values;
+	var i;
+
+	values = [
+		'5',
+		-1,
+		0,
+		3.14,
+		NaN,
+		true,
+		false,
+		null,
+		void 0,
+		[],
+		{},
+		function noop() {}
+	];
+	for ( i = 0; i < values.length; i++ ) {
+		t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+	}
+	t.end();
+
+	function badValue( value ) {
+		return function badValue() {
+			rffti( value );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided a first argument which is not a positive integer (options)', function test( t ) {
+	var values;
+	var i;
+
+	values = [
+		'5',
+		-1,
+		0,
+		3.14,
+		NaN,
+		true,
+		false,
+		null,
+		void 0,
+		[],
+		{},
+		function noop() {}
+	];
+	for ( i = 0; i < values.length; i++ ) {
+		t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+	}
+	t.end();
+
+	function badValue( value ) {
+		return function badValue() {
+			rffti( value, {} );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided a second argument which is not an object', function test( t ) {
+	var values;
+	var i;
+
+	values = [
+		'5',
+		5,
+		NaN,
+		true,
+		false,
+		null,
+		void 0,
+		[],
+		function noop() {}
+	];
+	for ( i = 0; i < values.length; i++ ) {
+		t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+	}
+	t.end();
+
+	function badValue( value ) {
+		return function badValue() {
+			rffti( 4, value );
+		};
+	}
+});
+
+tape( 'the function throws an error if provided an invalid `dtype` option', function test( t ) {
+	var values;
+	var i;
+
+	values = [
+		'foo',
+		'bool',
+		true,
+		false,
+		null,
+		void 0,
+		[],
+		{},
+		function noop() {}
+	];
+	for ( i = 0; i < values.length; i++ ) {
+		t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+	}
+	t.end();
+
+	function badValue( value ) {
+		return function badValue() {
+			rffti( 4, {
+				'dtype': value
+			});
+		};
+	}
+});
+
+tape( 'the function supports specifying an output data type', function test( t ) {
+	var ws = rffti( 4, {
+		'dtype': 'float32'
+	});
+
+	t.strictEqual( String( getDType( ws ) ), 'float32', 'returns expected value' );
+	t.deepEqual( getShape( ws ), [ 42 ], 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'the function returns a workspace of correct size', function test( t ) {
+	var ws;
+
+	ws = rffti( 1 );
+	t.deepEqual( getShape( ws ), [ 36 ], 'returns expected value' ); // 2*n + 34
+
+	ws = rffti( 8 );
+	t.deepEqual( getShape( ws ), [ 50 ], 'returns expected value' ); // 2*n + 34
+
+	ws = rffti( 16 );
+	t.deepEqual( getShape( ws ), [ 66 ], 'returns expected value' ); // 2*n + 34
+
+	t.end();
+});

From f2b84298ed13ccd5c3558f8a4081052bcab02e20 Mon Sep 17 00:00:00 2001
From: Athan <kgryte@gmail.com>
Date: Wed, 28 Oct 2026 19:21:45 +0100
Subject: [PATCH 02/10] Apply batched suggestions from code review

Co-authored-by: Athan <kgryte@gmail.com>
Signed-off-by: Athan <kgryte@gmail.com>
---
 .../@stdlib/fft/rffti/benchmark/benchmark.assign.js             | 2 +-
 lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js       | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js b/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js
index f929119b0bb5..14cc61d1578f 100644
--- a/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js
+++ b/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js
@@ -62,7 +62,7 @@ function createBenchmark( len ) {
 		b.tic();
 		for ( i = 0; i < b.iterations; i++ ) {
 			out = assign( ws, len );
-			if ( !isndarrayLike( out ) ) {
+			if ( typeof out !== 'object' ) {
 				b.fail( 'should return an ndarray' );
 			}
 		}
diff --git a/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js
index 37bdded76e93..16f0268abe95 100644
--- a/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js
@@ -60,7 +60,7 @@ function createBenchmark( len ) {
 		b.tic();
 		for ( i = 0; i < b.iterations; i++ ) {
 			ws = rffti( len, options );
-			if ( !isndarrayLike( ws ) ) {
+			if ( typeof ws !== 'object' ) {
 				b.fail( 'should return an ndarray' );
 			}
 		}

From ff11594d6e4d6c4453dad3f39585ad14d66acc4f Mon Sep 17 00:00:00 2001
From: Athan <kgryte@gmail.com>
Date: Wed, 28 Oct 2026 19:23:12 +0100
Subject: [PATCH 03/10] Apply batched suggestions from code review

Co-authored-by: Athan <kgryte@gmail.com>
Signed-off-by: Athan <kgryte@gmail.com>
---
 lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts
index 8f4f1f33749c..18770cf3d46e 100644
--- a/lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts
@@ -54,7 +54,7 @@ interface Rffti {
 	* var ws = rffti( 4 );
 	* // returns <ndarray>
 	*
-	* var dt = getDType( ws );
+	* var dt = String( getDType( ws ) );
 	* // returns 'float64'
 	*/
 	( n: number, options?: Options ): OutputArray;
@@ -93,7 +93,7 @@ interface Rffti {
 * var ws = rffti( 4 );
 * // returns <ndarray>
 *
-* var dt = getDType( ws );
+* var dt = String( getDType( ws ) );
 * // returns 'float64'
 *
 * @example

From 5febe52693fa46d2dda9834c603ba4763fbb59af Mon Sep 17 00:00:00 2001
From: Athan <kgryte@gmail.com>
Date: Wed, 28 Oct 2026 19:31:43 +0100
Subject: [PATCH 04/10] Apply suggestion from @kgryte

Signed-off-by: Athan <kgryte@gmail.com>
---
 lib/node_modules/@stdlib/fft/rffti/docs/repl.txt | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/lib/node_modules/@stdlib/fft/rffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/rffti/docs/repl.txt
index 20c5f3f30b06..3c065fe41b1e 100644
--- a/lib/node_modules/@stdlib/fft/rffti/docs/repl.txt
+++ b/lib/node_modules/@stdlib/fft/rffti/docs/repl.txt
@@ -11,7 +11,7 @@
     options: Object (optional)
         Function options.
 
-    options.dtype: string (optional)
+    options.dtype: string|DataType (optional)
         Output workspace ndarray data type. Must be a real-valued floating-point
         data type. Default: 'float64'.
 

From 6ed05a4be8c07ecae77e80cb5402dd4b28be31eb Mon Sep 17 00:00:00 2001
From: Athan <kgryte@gmail.com>
Date: Wed, 28 Oct 2026 19:38:49 +0100
Subject: [PATCH 05/10] Apply batched suggestions from code review

Co-authored-by: Athan <kgryte@gmail.com>
Signed-off-by: Athan <kgryte@gmail.com>
---
 lib/node_modules/@stdlib/fft/rffti/lib/assign.js | 8 ++++----
 lib/node_modules/@stdlib/fft/rffti/lib/base.js   | 4 ----
 lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js | 2 +-
 lib/node_modules/@stdlib/fft/rffti/lib/index.js  | 4 ++--
 4 files changed, 7 insertions(+), 11 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/assign.js b/lib/node_modules/@stdlib/fft/rffti/lib/assign.js
index e8a9799c6bb8..e095a0c5b166 100644
--- a/lib/node_modules/@stdlib/fft/rffti/lib/assign.js
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/assign.js
@@ -21,7 +21,7 @@
 // MODULES //
 
 var isPositiveInteger = require( '@stdlib/assert/is-positive-integer' ).isPrimitive;
-var isndarrayLike = require( '@stdlib/assert/is-ndarray-like' );
+var isvectorLike = require( '@stdlib/assert/is-vector-like' );
 var resolveStr = require( '@stdlib/ndarray/base/dtype-resolve-str' );
 var getDType = require( '@stdlib/ndarray/dtype' );
 var contains = require( '@stdlib/array/base/assert/contains' );
@@ -39,7 +39,7 @@ var base = require( './base.js' );
 *
 * @param {ndarrayLike} workspace - workspace ndarray
 * @param {PositiveInteger} n - sequence length
-* @throws {TypeError} first argument must be an ndarray-like object
+* @throws {TypeError} first argument must be a one-dimensional ndarray-like object
 * @throws {TypeError} first argument must have a supported data type
 * @throws {TypeError} second argument must be a positive integer
 * @returns {ndarray} input ndarray
@@ -58,8 +58,8 @@ var base = require( './base.js' );
 function assign( workspace, n ) {
 	var dt;
 
-	if ( !isndarrayLike( workspace ) ) {
-		throw new TypeError( format( 'invalid argument. First argument must be an ndarray. Value: `%s`.', workspace ) );
+	if ( !isvectorLike( workspace ) ) {
+		throw new TypeError( format( 'invalid argument. First argument must be a one-dimensional ndarray. Value: `%s`.', workspace ) );
 	}
 	dt = resolveStr( getDType( workspace ) );
 	if ( !contains( DTYPES, dt ) ) {
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/base.js b/lib/node_modules/@stdlib/fft/rffti/lib/base.js
index 9b1cb2e82728..9e6cf6acb19f 100644
--- a/lib/node_modules/@stdlib/fft/rffti/lib/base.js
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/base.js
@@ -57,10 +57,6 @@ var table = {
 * @throws {TypeError} first argument must be an ndarray-like object
 * @throws {TypeError} first argument must have a supported data type
 * @throws {TypeError} second argument must be an ndarray-like object
-* @throws {TypeError} options argument must be an object
-* @throws {RangeError} dimension indices must not exceed input ndarray bounds
-* @throws {RangeError} number of dimension indices must not exceed the number of input ndarray dimensions
-* @throws {Error} must provide valid options
 * @returns {ndarray} workspace ndarray
 *
 * @example
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js b/lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js
index de783a611979..7833cdab61cc 100644
--- a/lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js
@@ -27,7 +27,7 @@ var dtypes = require( '@stdlib/ndarray/dtypes' );
 // MAIN //
 
 var dt = {
-	'odtypes': dtypes2strings( dtypes( 'real_floating_point' ) )
+	'odtypes': dtypes2strings( dtypes( 'real_floating_point_and_generic' ) )
 };
 
 
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/index.js b/lib/node_modules/@stdlib/fft/rffti/lib/index.js
index 8329d7b09378..27abf12ee058 100644
--- a/lib/node_modules/@stdlib/fft/rffti/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/index.js
@@ -30,7 +30,7 @@
 * var ws = rffti( 4 );
 * // returns <ndarray>
 *
-* var dt = getDType( ws );
+* var dt = String( getDType( ws ) );
 * // returns 'float64'
 *
 * @example
@@ -40,7 +40,7 @@
 * var ws = rffti( 4, { 'dtype': 'float32' } );
 * // returns <ndarray>
 *
-* var dt = getDType( ws );
+* var dt = String( getDType( ws ) );
 * // returns 'float32'
 *
 * @example

From dcb0ffbc5f35f1581af48e43fc8f977c50d914f0 Mon Sep 17 00:00:00 2001
From: Athan <kgryte@gmail.com>
Date: Wed, 28 Oct 2026 19:40:59 +0100
Subject: [PATCH 06/10] Apply batched suggestions from code review

Co-authored-by: Athan <kgryte@gmail.com>
Signed-off-by: Athan <kgryte@gmail.com>
---
 lib/node_modules/@stdlib/fft/rffti/lib/main.js | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/main.js b/lib/node_modules/@stdlib/fft/rffti/lib/main.js
index c860e4deb72f..64141d16ec64 100644
--- a/lib/node_modules/@stdlib/fft/rffti/lib/main.js
+++ b/lib/node_modules/@stdlib/fft/rffti/lib/main.js
@@ -54,7 +54,7 @@ var base = require( './base.js' );
 * var ws = rffti( 4 );
 * // returns <ndarray>
 *
-* var dt = getDType( ws );
+* var dt = String( getDType( ws ) );
 * // returns 'float64'
 *
 * @example
@@ -63,7 +63,7 @@ var base = require( './base.js' );
 * var ws = rffti( 4, { 'dtype': 'float32' } );
 * // returns <ndarray>
 *
-* var dt = getDType( ws );
+* var dt = String( getDType( ws ) );
 * // returns 'float32'
 */
 function rffti( n ) {

From 7aac021da977b1b432b8c54f21ffcdf8eb13754c Mon Sep 17 00:00:00 2001
From: Athan <kgryte@gmail.com>
Date: Wed, 28 Oct 2026 19:45:04 +0100
Subject: [PATCH 07/10] Apply batched suggestions from code review

Co-authored-by: Athan <kgryte@gmail.com>
Signed-off-by: Athan <kgryte@gmail.com>
---
 lib/node_modules/@stdlib/fft/rffti/README.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/rffti/README.md b/lib/node_modules/@stdlib/fft/rffti/README.md
index ffcb718881e6..b08f9d835a06 100644
--- a/lib/node_modules/@stdlib/fft/rffti/README.md
+++ b/lib/node_modules/@stdlib/fft/rffti/README.md
@@ -41,7 +41,7 @@ var getShape = require( '@stdlib/ndarray/shape' );
 var ws = rffti( 4 );
 // returns <ndarray>
 
-var dt = getDType( ws );
+var dt = String( getDType( ws ) );
 // returns 'float64'
 
 var sh = getShape( ws );
@@ -67,7 +67,7 @@ var ws = rffti( 4, {
 });
 // returns <ndarray>
 
-var dt = getDType( ws );
+var dt = String( getDType( ws ) );
 // returns 'float32'
 ```
 

From 29a82bd51cad03a37804a8ee45ed031f755d996a Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Fri, 30 Oct 2026 00:31:18 +0530
Subject: [PATCH 08/10] test: update tests to test for values

---
 .../@stdlib/fft/rffti/test/test.assign.js     | 110 ++++++++++++++++-
 .../@stdlib/fft/rffti/test/test.main.js       | 112 ++++++++++++++++++
 2 files changed, 218 insertions(+), 4 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js b/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
index 096bd9420c33..086ee66f805a 100644
--- a/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
+++ b/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
@@ -21,7 +21,12 @@
 // MODULES //
 
 var tape = require( 'tape' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
+var Float64Array = require( '@stdlib/array/float64' );
+var Float32Array = require( '@stdlib/array/float32' );
+var Uint32Array = require( '@stdlib/array/uint32' );
 var getDType = require( '@stdlib/ndarray/dtype' );
+var getData = require( '@stdlib/ndarray/data-buffer' );
 var zeros = require( '@stdlib/ndarray/zeros' );
 var assign = require( './../lib/assign.js' );
 
@@ -122,31 +127,128 @@ tape( 'the function throws an error if provided a second argument which is not a
 });
 
 tape( 'the function initializes a provided float64 workspace ndarray', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var ulps;
 	var out;
+	var buf;
 	var ws;
+	var N;
+	var y;
+	var e;
+	var i;
 
-	ws = zeros( [ 42 ], {
+	N = 8;
+	ws = zeros( [ ( 2*N ) + 34 ], {
 		'dtype': 'float64'
 	});
-	out = assign( ws, 4 );
+	out = assign( ws, N );
 
 	t.strictEqual( out, ws, 'returns expected value' );
 	t.strictEqual( String( getDType( out ) ), 'float64', 'returns expected value' );
 
+	buf = getData( ws );
+
+	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Float64Array( [ 8.0, 2.0, 2.0, 4.0 ] );
+
+	ulps = 1;
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = buf[ N+i ];
+		e = expectedTwiddles[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		y = buf[ ( 2*N ) + i ];
+		e = expectedFactors[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+	for ( i = 0; i < N; i++ ) {
+		y = buf[ i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
 	t.end();
 });
 
 tape( 'the function initializes a provided float32 workspace ndarray', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var fview;
+	var ulps;
 	var out;
+	var buf;
 	var ws;
+	var N;
+	var y;
+	var e;
+	var i;
 
-	ws = zeros( [ 42 ], {
+	N = 8;
+	ws = zeros( [ ( 2*N ) + 34 ], {
 		'dtype': 'float32'
 	});
-	out = assign( ws, 4 );
+	out = assign( ws, N );
 
 	t.strictEqual( out, ws, 'returns expected value' );
 	t.strictEqual( String( getDType( out ) ), 'float32', 'returns expected value' );
 
+	buf = getData( ws );
+
+	expectedTwiddles = new Float32Array( [ 0.7071067690849304, 0.7071067690849304, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Uint32Array( [ 8, 2, 2, 4 ] );
+
+	ulps = 1;
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = buf[ N+i ];
+		e = expectedTwiddles[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+	fview = new Uint32Array( buf.buffer, buf.byteOffset, buf.length );
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		y = fview[ ( 2*N ) + i ];
+		e = expectedFactors[ i ];
+		t.strictEqual( y, e, 'returns expected integer factor. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+	for ( i = 0; i < N; i++ ) {
+		y = buf[ i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function initializes a provided generic workspace ndarray', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var out;
+	var buf;
+	var ws;
+	var N;
+	var i;
+
+	N = 8;
+	ws = zeros( [ ( 2*N ) + 34 ], {
+		'dtype': 'generic'
+	});
+	out = assign( ws, N );
+
+	t.strictEqual( out, ws, 'returns expected value' );
+	t.strictEqual( String( getDType( out ) ), 'generic', 'returns expected value' );
+
+	buf = getData( ws );
+
+	expectedTwiddles = [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];
+	expectedFactors = [ 8, 2, 2, 4 ];
+
+	for ( i = 0; i < N; i++ ) {
+		t.strictEqual( buf[ N+i ], expectedTwiddles[ i ], 'returns expected twiddle factor at index ' + i );
+	}
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		t.strictEqual( buf[ (2*N)+i ], expectedFactors[ i ], 'returns expected integer factor at index ' + i );
+	}
+	for ( i = 0; i < N; i++ ) {
+		t.strictEqual( buf[ i ], 0, 'returns expected scratch space value at index ' + i );
+	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.main.js b/lib/node_modules/@stdlib/fft/rffti/test/test.main.js
index 3c92adbabfc3..d7951a10fa17 100644
--- a/lib/node_modules/@stdlib/fft/rffti/test/test.main.js
+++ b/lib/node_modules/@stdlib/fft/rffti/test/test.main.js
@@ -21,8 +21,13 @@
 // MODULES //
 
 var tape = require( 'tape' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
+var Float64Array = require( '@stdlib/array/float64' );
+var Float32Array = require( '@stdlib/array/float32' );
+var Uint32Array = require( '@stdlib/array/uint32' );
 var getDType = require( '@stdlib/ndarray/dtype' );
 var getShape = require( '@stdlib/ndarray/shape' );
+var getData = require( '@stdlib/ndarray/data-buffer' );
 var rffti = require( './../lib' );
 
 
@@ -175,3 +180,110 @@ tape( 'the function returns a workspace of correct size', function test( t ) {
 
 	t.end();
 });
+
+tape( 'the function returns a float64 workspace ndarray', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var ulps;
+	var buf;
+	var ws;
+	var N;
+	var y;
+	var e;
+	var i;
+
+	N = 8;
+	ws = rffti( N );
+	buf = getData( ws );
+
+	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Float64Array( [ 8.0, 2.0, 2.0, 4.0 ] );
+
+	ulps = 1;
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = buf[ N+i ];
+		e = expectedTwiddles[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		y = buf[ ( 2*N ) + i ];
+		e = expectedFactors[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+	for ( i = 0; i < N; i++ ) {
+		y = buf[ i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function returns a float32 workspace ndarray', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var fview;
+	var ulps;
+	var buf;
+	var ws;
+	var N;
+	var y;
+	var e;
+	var i;
+
+	N = 8;
+	ws = rffti( N, {
+		'dtype': 'float32'
+	});
+	buf = getData( ws );
+
+	expectedTwiddles = new Float32Array( [ 0.7071067690849304, 0.7071067690849304, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Uint32Array( [ 8, 2, 2, 4 ] );
+
+	ulps = 1;
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = buf[ N+i ];
+		e = expectedTwiddles[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+	fview = new Uint32Array( buf.buffer, buf.byteOffset, buf.length );
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		y = fview[ ( 2*N ) + i ];
+		e = expectedFactors[ i ];
+		t.strictEqual( y, e, 'returns expected integer factor. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+	for ( i = 0; i < N; i++ ) {
+		y = buf[ i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'the function returns a generic workspace ndarray', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var buf;
+	var ws;
+	var N;
+	var i;
+
+	N = 8;
+	ws = rffti( N, {
+		'dtype': 'generic'
+	});
+	buf = getData( ws );
+
+	expectedTwiddles = [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];
+	expectedFactors = [ 8, 2, 2, 4 ];
+
+	for ( i = 0; i < N; i++ ) {
+		t.strictEqual( buf[ N+i ], expectedTwiddles[ i ], 'returns expected twiddle factor at index ' + i );
+	}
+	for ( i = 0; i < expectedFactors.length; i++ ) {
+		t.strictEqual( buf[ (2*N)+i ], expectedFactors[ i ], 'returns expected integer factor at index ' + i );
+	}
+	for ( i = 0; i < N; i++ ) {
+		t.strictEqual( buf[ i ], 0, 'returns expected scratch space value at index ' + i );
+	}
+	t.end();
+});

From a9d7fa6715ad9a80f4fbab1b7dcfa142b15dc428 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Fri, 30 Oct 2026 00:33:11 +0530
Subject: [PATCH 09/10] test: update tests to test for values

---
 lib/node_modules/@stdlib/fft/rffti/test/test.assign.js | 3 ---
 1 file changed, 3 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js b/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
index 086ee66f805a..ef2989eb0600 100644
--- a/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
+++ b/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
@@ -74,9 +74,6 @@ tape( 'the function throws an error if provided a first argument which is not an
 	values = [
 		zeros( [ 42 ], {
 			'dtype': 'int32'
-		}),
-		zeros( [ 42 ], {
-			'dtype': 'generic'
 		})
 	];
 	for ( i = 0; i < values.length; i++ ) {

From 968fbf5c778384359dd4ab2d56d7204ef134af4f Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Fri, 30 Oct 2026 00:57:51 +0530
Subject: [PATCH 10/10] chore: rename to fft/fftpack/rffti

---
 .../@stdlib/fft/{ => fftpack}/rffti/README.md             | 4 ++--
 .../fft/{ => fftpack}/rffti/benchmark/benchmark.assign.js | 0
 .../fft/{ => fftpack}/rffti/benchmark/benchmark.js        | 0
 .../@stdlib/fft/{ => fftpack}/rffti/docs/repl.txt         | 0
 .../@stdlib/fft/{ => fftpack}/rffti/docs/types/index.d.ts | 0
 .../@stdlib/fft/{ => fftpack}/rffti/docs/types/test.ts    | 0
 .../@stdlib/fft/{ => fftpack}/rffti/examples/index.js     | 0
 .../@stdlib/fft/{ => fftpack}/rffti/lib/assign.js         | 0
 .../@stdlib/fft/{ => fftpack}/rffti/lib/base.js           | 0
 .../@stdlib/fft/{ => fftpack}/rffti/lib/defaults.js       | 0
 .../@stdlib/fft/{ => fftpack}/rffti/lib/dtypes.js         | 0
 .../@stdlib/fft/{ => fftpack}/rffti/lib/index.js          | 8 ++++----
 .../@stdlib/fft/{ => fftpack}/rffti/lib/main.js           | 0
 .../@stdlib/fft/{ => fftpack}/rffti/package.json          | 2 +-
 .../@stdlib/fft/{ => fftpack}/rffti/test/test.assign.js   | 0
 .../@stdlib/fft/{ => fftpack}/rffti/test/test.js          | 0
 .../@stdlib/fft/{ => fftpack}/rffti/test/test.main.js     | 0
 17 files changed, 7 insertions(+), 7 deletions(-)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/README.md (97%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/benchmark/benchmark.assign.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/benchmark/benchmark.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/docs/repl.txt (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/docs/types/index.d.ts (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/docs/types/test.ts (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/examples/index.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/lib/assign.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/lib/base.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/lib/defaults.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/lib/dtypes.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/lib/index.js (89%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/lib/main.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/package.json (97%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/test/test.assign.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/test/test.js (100%)
 rename lib/node_modules/@stdlib/fft/{ => fftpack}/rffti/test/test.main.js (100%)

diff --git a/lib/node_modules/@stdlib/fft/rffti/README.md b/lib/node_modules/@stdlib/fft/fftpack/rffti/README.md
similarity index 97%
rename from lib/node_modules/@stdlib/fft/rffti/README.md
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/README.md
index b08f9d835a06..4e1fbaa0c2ba 100644
--- a/lib/node_modules/@stdlib/fft/rffti/README.md
+++ b/lib/node_modules/@stdlib/fft/fftpack/rffti/README.md
@@ -27,7 +27,7 @@ limitations under the License.
 ## Usage
 
 ```javascript
-var rffti = require( '@stdlib/fft/rffti' );
+var rffti = require( '@stdlib/fft/fftpack/rffti' );
 ```
 
 #### rffti( n\[, options] )
@@ -119,7 +119,7 @@ The function has the following parameters:
 ```javascript
 var getDType = require( '@stdlib/ndarray/dtype' );
 var getShape = require( '@stdlib/ndarray/shape' );
-var rffti = require( '@stdlib/fft/rffti' );
+var rffti = require( '@stdlib/fft/fftpack/rffti' );
 
 // Initialize a workspace for a sequence of length 8:
 var ws = rffti( 8 );
diff --git a/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/benchmark/benchmark.assign.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.assign.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/benchmark/benchmark.assign.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/benchmark/benchmark.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/benchmark/benchmark.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/benchmark/benchmark.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/docs/repl.txt b/lib/node_modules/@stdlib/fft/fftpack/rffti/docs/repl.txt
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/docs/repl.txt
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/docs/repl.txt
diff --git a/lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/fftpack/rffti/docs/types/index.d.ts
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/docs/types/index.d.ts
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/docs/types/index.d.ts
diff --git a/lib/node_modules/@stdlib/fft/rffti/docs/types/test.ts b/lib/node_modules/@stdlib/fft/fftpack/rffti/docs/types/test.ts
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/docs/types/test.ts
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/docs/types/test.ts
diff --git a/lib/node_modules/@stdlib/fft/rffti/examples/index.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/examples/index.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/examples/index.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/examples/index.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/assign.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/lib/assign.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/lib/assign.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/lib/assign.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/base.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/lib/base.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/lib/base.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/lib/base.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/defaults.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/lib/defaults.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/lib/defaults.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/lib/defaults.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/lib/dtypes.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/lib/dtypes.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/lib/dtypes.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/index.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/lib/index.js
similarity index 89%
rename from lib/node_modules/@stdlib/fft/rffti/lib/index.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/lib/index.js
index 27abf12ee058..1820f27a9f2f 100644
--- a/lib/node_modules/@stdlib/fft/rffti/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/fftpack/rffti/lib/index.js
@@ -21,11 +21,11 @@
 /**
 * Return an initialized one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.
 *
-* @module @stdlib/fft/rffti
+* @module @stdlib/fft/fftpack/rffti
 *
 * @example
 * var getDType = require( '@stdlib/ndarray/dtype' );
-* var rffti = require( '@stdlib/fft/rffti' );
+* var rffti = require( '@stdlib/fft/fftpack/rffti' );
 *
 * var ws = rffti( 4 );
 * // returns <ndarray>
@@ -35,7 +35,7 @@
 *
 * @example
 * var getDType = require( '@stdlib/ndarray/dtype' );
-* var rffti = require( '@stdlib/fft/rffti' );
+* var rffti = require( '@stdlib/fft/fftpack/rffti' );
 *
 * var ws = rffti( 4, { 'dtype': 'float32' } );
 * // returns <ndarray>
@@ -45,7 +45,7 @@
 *
 * @example
 * var zeros = require( '@stdlib/ndarray/zeros' );
-* var rffti = require( '@stdlib/fft/rffti' );
+* var rffti = require( '@stdlib/fft/fftpack/rffti' );
 *
 * var ws = zeros( [ 42 ], { 'dtype': 'float64' } );
 *
diff --git a/lib/node_modules/@stdlib/fft/rffti/lib/main.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/lib/main.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/lib/main.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/lib/main.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/package.json b/lib/node_modules/@stdlib/fft/fftpack/rffti/package.json
similarity index 97%
rename from lib/node_modules/@stdlib/fft/rffti/package.json
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/package.json
index eb27ac331d39..a9525c73265d 100644
--- a/lib/node_modules/@stdlib/fft/rffti/package.json
+++ b/lib/node_modules/@stdlib/fft/fftpack/rffti/package.json
@@ -1,5 +1,5 @@
 {
-  "name": "@stdlib/fft/rffti",
+  "name": "@stdlib/fft/fftpack/rffti",
   "version": "0.0.0",
   "description": "Return an initialized one-dimensional workspace ndarray for computing a real-valued discrete Fourier transform.",
   "license": "Apache-2.0",
diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.assign.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/test/test.assign.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/test/test.assign.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/test/test.assign.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/test/test.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/test/test.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/test/test.js
diff --git a/lib/node_modules/@stdlib/fft/rffti/test/test.main.js b/lib/node_modules/@stdlib/fft/fftpack/rffti/test/test.main.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/rffti/test/test.main.js
rename to lib/node_modules/@stdlib/fft/fftpack/rffti/test/test.main.js