From addf74e4f23209dcf8b604dd48d413521f72979a Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Sun, 9 Aug 2026 15:18:50 +0530
Subject: [PATCH 1/4] feat: add fft/base/fftpack/ndarray/cosqi

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
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---
---
 .../fft/base/fftpack/ndarray/cosqi/README.md  | 136 ++++++++
 .../ndarray/cosqi/benchmark/benchmark.js      | 115 +++++++
 .../base/fftpack/ndarray/cosqi/docs/repl.txt  |  44 +++
 .../ndarray/cosqi/docs/types/index.d.ts       |  76 +++++
 .../fftpack/ndarray/cosqi/docs/types/test.ts  |  63 ++++
 .../fftpack/ndarray/cosqi/examples/index.js   |  36 ++
 .../base/fftpack/ndarray/cosqi/lib/index.js   |  63 ++++
 .../base/fftpack/ndarray/cosqi/lib/main.js    |  86 +++++
 .../base/fftpack/ndarray/cosqi/package.json   |  66 ++++
 .../base/fftpack/ndarray/cosqi/test/test.js   | 315 ++++++++++++++++++
 10 files changed, 1000 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/README.md
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/package.json
 create mode 100644 lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/README.md
new file mode 100644
index 000000000000..f161182957e9
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/README.md
@@ -0,0 +1,136 @@
+<!--
+
+@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.
+
+-->
+
+# cosqi
+
+> Initialize a workspace array for performing a quarter-wave cosine transform on a one-dimensional ndarray.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/cosqi' );
+```
+
+#### cosqi( arrays )
+
+Initializes a workspace array for performing a quarter-wave cosine transform on a one-dimensional ndarray.
+
+```javascript
+var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var Slice = require( '@stdlib/slice/ctor' );
+var slice = require( '@stdlib/ndarray/slice' );
+
+var N = 8;
+var len = scalar2ndarray( N, {
+    'dtype': 'int32'
+});
+
+var w = new Float64Vector( ( 3*N ) + 34 );
+
+var out = cosqi( [ w, len ] );
+// returns <ndarray>
+
+var bool = ( out === w );
+// returns true
+
+var cosineTable = slice( w, new Slice( 0, N ) );
+// returns <ndarray>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+
+var twiddleFactors = slice( w, new Slice( 2*N, 3*N ) );
+// returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+
+var factors = slice( w, new Slice( 3*N, ( 3*N ) + 4 ) );
+// returns <ndarray>[ 8, 2, 2, 4 ]
+```
+
+The function has the following parameters:
+
+-   **arrays**: array-like object containing the following ndarrays:
+
+    -   a one-dimensional input ndarray.
+    -   a zero-dimensional ndarray containing the length of the sequence to transform.
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   If provided an empty one-dimensional input ndarray, the function returns the output ndarray unchanged.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/cosqi' );
+
+var N = 8;
+
+var w = new Float64Vector( ( 3*N ) + 34 );
+console.log( ndarray2array( w ) );
+
+var len = scalar2ndarray( N, {
+    'dtype': 'int32'
+});
+
+var out = cosqi( [ w, len ] );
+console.log( ndarray2array( out ) );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js
new file mode 100644
index 000000000000..861bf41cc1d1
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js
@@ -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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var zeros = require( '@stdlib/ndarray/zeros' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var cosqi = require( './../lib' );
+
+
+// VARIABLES //
+
+var options = {
+	'dtype': 'generic'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - sequence length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var len;
+	var w;
+
+	len = scalar2ndarray( N, options );
+	w = zeros( [ ( 3*N ) + 34 ], options );
+
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var v;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			v = cosqi( [ w, len ] );
+			if ( typeof v !== 'object' ) {
+				b.fail( 'should return an ndarray' );
+			}
+		}
+		b.toc();
+		if ( isnan( v.get( 2*N ) ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var lengths;
+	var N;
+	var f;
+	var i;
+
+	lengths = [
+		8,
+		16,
+		32,
+		64,
+		128,
+		256,
+		512,
+		1024
+	];
+
+	for ( i = 0; i < lengths.length; i++ ) {
+		N = lengths[ i ];
+		f = createBenchmark( N );
+		bench( format( '%s:N=%d', pkg, N ), f );
+	}
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/repl.txt
new file mode 100644
index 000000000000..3e449e9e8fbd
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/repl.txt
@@ -0,0 +1,44 @@
+
+{{alias}}( arrays )
+    Initializes a workspace array for performing a quarter-wave cosine
+    transform on a one-dimensional ndarray.
+
+    If provided an empty input ndarray, the function returns the output ndarray
+    unchanged.
+
+    Parameters
+    ----------
+    arrays: ArrayLikeObject<ndarray>
+        Array-like object containing the following ndarrays:
+
+        - a one-dimensional input ndarray.
+        - a zero-dimensional ndarray containing the length of the sequence to
+        transform.
+
+    Returns
+    -------
+    out: ndarray
+        Output ndarray.
+
+    Examples
+    --------
+    > var N = 8;
+    > var w = new {{alias:@stdlib/ndarray/vector/float64}}( ( 3*N ) + 34 );
+    > var len = {{alias:@stdlib/ndarray/from-scalar}}( N, { 'dtype': 'int32' });
+    > var out = {{alias}}( [ w, len ] )
+    <ndarray>
+    > var bool = ( out === w )
+    true
+    > var s = new {{alias:@stdlib/slice/ctor}}( 0, N );
+    > var cosineTable = {{alias:@stdlib/ndarray/slice}}( w, s )
+    <ndarray>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+    > s = new {{alias:@stdlib/slice/ctor}}( 2*N, 3*N );
+    > var twiddleFactors = {{alias:@stdlib/ndarray/slice}}( w, s )
+    <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+    > s = new {{alias:@stdlib/slice/ctor}}( 3*N, ( 3*N ) + 4 );
+    > var factors = {{alias:@stdlib/ndarray/slice}}( w, s )
+    <ndarray>[ 8, 2, 2, 4 ]
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/index.d.ts
new file mode 100644
index 000000000000..01a07436dfae
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/index.d.ts
@@ -0,0 +1,76 @@
+/*
+* @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 { typedndarray, floatndarray, genericndarray } from '@stdlib/types/ndarray';
+
+/**
+* Input array.
+*/
+type InputArray = floatndarray | genericndarray<number>;
+
+/**
+* Initializes a workspace array for performing a quarter-wave cosine transform on a one-dimensional ndarray.
+*
+* ## Notes
+*
+* -   The function expects the following ndarrays:
+*
+*     -   a one-dimensional input ndarray.
+*     -   a zero-dimensional ndarray containing the length of the sequence to transform.
+*
+* @param arrays - array-like object containing ndarrays
+* @returns output ndarray
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var Slice = require( '@stdlib/slice/ctor' );
+* var slice = require( '@stdlib/ndarray/slice' );
+*
+* var N = 8;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 3*N ) + 34 );
+*
+* var out = cosqi( [ w, len ] );
+* // returns <ndarray>
+*
+* var bool = ( out === w );
+* // returns true
+*
+* var cosineTable = slice( w, new Slice( 0, N ) );
+* // returns <ndarray>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = slice( w, new Slice( 2*N, 3*N ) );
+* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = slice( w, new Slice( 3*N, ( 3*N ) + 4 ) );
+* // returns <ndarray>[ 8, 2, 2, 4 ]
+*/
+declare function cosqi<T extends InputArray = InputArray>( arrays: [ T, typedndarray<number> ] ): T;
+
+
+// EXPORTS //
+
+export = cosqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/test.ts
new file mode 100644
index 000000000000..51b2f6a75024
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/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 cosqi = require( './index' );
+
+
+// TESTS //
+
+// The function returns an ndarray...
+{
+	const w = zeros( [ 10 ], {
+		'dtype': 'float64'
+	});
+	const N = zeros( [], {
+		'dtype': 'int32'
+	});
+
+	cosqi( [ w, N ] ); // $ExpectType float64ndarray
+}
+
+// The compiler throws an error if the function is provided a first argument which is not an array of ndarrays...
+{
+	cosqi( '10' ); // $ExpectError
+	cosqi( 10 ); // $ExpectError
+	cosqi( true ); // $ExpectError
+	cosqi( false ); // $ExpectError
+	cosqi( null ); // $ExpectError
+	cosqi( undefined ); // $ExpectError
+	cosqi( [] ); // $ExpectError
+	cosqi( {} ); // $ExpectError
+	cosqi( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	const w = zeros( [ 10 ], {
+		'dtype': 'float64'
+	});
+	const N = zeros( [], {
+		'dtype': 'int32'
+	});
+
+	cosqi(); // $ExpectError
+	cosqi( [ w, N ], {} ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/examples/index.js
new file mode 100644
index 000000000000..aadd503244b6
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/examples/index.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';
+
+var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+var ndarray2array = require( '@stdlib/ndarray/to-array' );
+var cosqi = require( './../lib' );
+
+var N = 8;
+
+var w = new Float64Vector( ( 3*N ) + 34 );
+console.log( ndarray2array( w ) );
+
+var len = scalar2ndarray( N, {
+	'dtype': 'int32'
+});
+
+var out = cosqi( [ w, len ] );
+console.log( ndarray2array( out ) );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/index.js
new file mode 100644
index 000000000000..57bae4edf840
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/index.js
@@ -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.
+*/
+
+'use strict';
+
+/**
+* Initialize a workspace array for performing a quarter-wave cosine transform on a one-dimensional ndarray.
+*
+* @module @stdlib/fft/base/fftpack/ndarray/cosqi
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var Slice = require( '@stdlib/slice/ctor' );
+* var slice = require( '@stdlib/ndarray/slice' );
+* var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/cosqi' );
+*
+* var N = 8;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 3*N ) + 34 );
+*
+* var out = cosqi( [ w, len ] );
+* // returns <ndarray>
+*
+* var bool = ( out === w );
+* // returns true
+*
+* var cosineTable = slice( w, new Slice( 0, N ) );
+* // returns <ndarray>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = slice( w, new Slice( 2*N, 3*N ) );
+* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = slice( w, new Slice( 3*N, ( 3*N ) + 4 ) );
+* // returns <ndarray>[ 8, 2, 2, 4 ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/main.js
new file mode 100644
index 000000000000..e58b2a46586e
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/main.js
@@ -0,0 +1,86 @@
+/**
+* @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 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/cosqi' );
+var ndarraylike2scalar = require( '@stdlib/ndarray/base/ndarraylike2scalar' );
+
+
+// MAIN //
+
+/**
+* Initializes a workspace array for performing a quarter-wave cosine transform on a one-dimensional ndarray.
+*
+* ## Notes
+*
+* -   The function expects the following ndarrays:
+*
+*     -   a one-dimensional input ndarray.
+*     -   a zero-dimensional ndarray containing the length of the sequence to transform.
+*
+* @param {ArrayLikeObject<Object>} arrays - array-like object containing ndarrays
+* @returns {ndarrayLike} output ndarray
+*
+* @example
+* var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
+* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
+* var Slice = require( '@stdlib/slice/ctor' );
+* var slice = require( '@stdlib/ndarray/slice' );
+*
+* var N = 8;
+* var len = scalar2ndarray( N, {
+*     'dtype': 'int32'
+* });
+*
+* var w = new Float64Vector( ( 3*N ) + 34 );
+*
+* var out = cosqi( [ w, len ] );
+* // returns <ndarray>
+*
+* var bool = ( out === w );
+* // returns true
+*
+* var cosineTable = slice( w, new Slice( 0, N ) );
+* // returns <ndarray>[ ~0.98, ~0.92, ~0.83, ~0.7, ~0.56, ~0.38, ~0.2, ~0.0 ]
+*
+* var twiddleFactors = slice( w, new Slice( 2*N, 3*N ) );
+* // returns <ndarray>[ ~0.707, ~0.707, 0, 0, 0, 0, 0, 0 ]
+*
+* var factors = slice( w, new Slice( 3*N, ( 3*N ) + 4 ) );
+* // returns <ndarray>[ 8, 2, 2, 4 ]
+*/
+function cosqi( arrays ) {
+	var w;
+	var N;
+
+	w = arrays[ 0 ];
+	N = ndarraylike2scalar( arrays[ 1 ] );
+	strided( N, getData( w ), getStride( w, 0 ), getOffset( w ) );
+	return w;
+}
+
+
+// EXPORTS //
+
+module.exports = cosqi;
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/package.json
new file mode 100644
index 000000000000..90c3a92d244b
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/package.json
@@ -0,0 +1,66 @@
+{
+  "name": "@stdlib/fft/base/fftpack/ndarray/cosqi",
+  "version": "0.0.0",
+  "description": "Initialize a workspace array for performing a quarter-wave cosine transform on a 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",
+    "cosqi",
+    "fourier",
+    "transform",
+    "twiddle",
+    "cosine",
+    "workspace",
+    "initialization",
+    "real",
+    "ndarray"
+  ],
+  "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js
new file mode 100644
index 000000000000..b1483282124b
--- /dev/null
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js
@@ -0,0 +1,315 @@
+/**
+* @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 max-len */
+
+'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 cosqi = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Returns a one-dimensional ndarray.
+*
+* @private
+* @param {Float64Array} 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 cosqi, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has an arity of 1', function test( t ) {
+	t.strictEqual( cosqi.length, 1, 'has expected arity' );
+	t.end();
+});
+
+tape( 'the function correctly initializes cosine, twiddle and integer factors in a one-dimensional ndarray `w`', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var expectedCosines;
+	var wBuf;
+	var ulps;
+	var len;
+	var N;
+	var w;
+	var v;
+	var i;
+	var y;
+	var e;
+
+	N = 8;
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+	wBuf = new Float64Array( ( 3*N ) + 34 );
+	w = vector( wBuf, ( 3*N ) + 34, 1, 0 );
+	v = cosqi( [ w, len ] );
+	t.strictEqual( v, w, 'returns expected workspace reference' );
+
+	expectedCosines = new Float64Array( [ 0.9807852804032304, 0.9238795325112867, 0.8314696123025452, 0.7071067811865476, 0.5555702330196023, 0.38268343236508984, 0.19509032201612833, 6.123233995736766e-17 ] );
+	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
+
+	ulps = 1;
+	for ( i = 0; i < expectedCosines.length; i++ ) {
+		y = wBuf[ i ];
+		e = expectedCosines[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = wBuf[ ( 2*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 = wBuf[ ( 3*N ) + i ];
+		e = expectedFactors[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = N; i < 2*N; i++ ) {
+		y = wBuf[ i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+
+	t.end();
+});
+
+tape( 'if provided an empty ndarray, the function returns the output ndarray unchanged', function test( t ) {
+	var expected;
+	var wBuf;
+	var len;
+	var w;
+	var N;
+	var v;
+
+	N = 4;
+	wBuf = new Float64Array( [] );
+	w = vector( wBuf, 0, 1, 0 );
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+
+	v = cosqi( [ w, len ] );
+
+	expected = new Float64Array( [] );
+	t.strictEqual( v, w, '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 expectedTwiddles;
+	var expectedFactors;
+	var expectedCosines;
+	var wBuf;
+	var ulps;
+	var len;
+	var w;
+	var y;
+	var e;
+	var i;
+	var N;
+	var v;
+
+	N = 8;
+	wBuf = new Float64Array( ( 6*N ) + 68 );
+	w = vector( wBuf, ( 3*N ) + 34, 2, 0 );
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+
+	v = cosqi( [ w, len ] );
+
+	expectedCosines = new Float64Array( [ 0.9807852804032304, 0.9238795325112867, 0.8314696123025452, 0.7071067811865476, 0.5555702330196023, 0.38268343236508984, 0.19509032201612833, 6.123233995736766e-17 ] );
+	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
+	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
+
+	t.strictEqual( v, w, 'returns expected value' );
+
+	ulps = 1;
+	for ( i = 0; i < expectedCosines.length; i++ ) {
+		y = wBuf[ 2*i ];
+		e = expectedCosines[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = wBuf[ ( 4*N ) + ( 2*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 = wBuf[ ( 6*N ) + ( 2*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 = wBuf[ ( 2*N ) + ( 2*i ) ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+
+		y = wBuf[ ( 4*N ) + ( 2*i ) + 1 ];
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+
+	t.end();
+});
+
+tape( 'the function supports a one-dimensional ndarray having a negative stride', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var expectedCosines;
+	var wBuf;
+	var ulps;
+	var len;
+	var w;
+	var v;
+	var y;
+	var e;
+	var i;
+	var N;
+
+	N = 8;
+	wBuf = new Float64Array( ( 3*N ) + 34 );
+	w = vector( wBuf, ( 3*N ) + 34, -1, ( 3*N ) + 33 );
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+
+	v = cosqi( [ w, len ] );
+	t.strictEqual( v, w, 'returns expected value' );
+
+	expectedCosines = new Float64Array( [ 0.9807852804032304, 0.9238795325112867, 0.8314696123025452, 0.7071067811865476, 0.5555702330196023, 0.38268343236508984, 0.19509032201612833, 6.123233995736766e-17 ] );
+	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 < expectedCosines.length; i++ ) {
+		y = wBuf[ ( 3*N ) + 33 - i ];
+		e = expectedCosines[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = wBuf[ N + 33 - 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 = wBuf[ 33 - 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 = wBuf[ ( 2*N ) + 33 - i ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+
+	t.end();
+});
+
+tape( 'the function supports a one-dimensional ndarray having a non-zero offset', function test( t ) {
+	var expectedTwiddles;
+	var expectedFactors;
+	var expectedCosines;
+	var wBuf;
+	var ulps;
+	var len;
+	var w;
+	var v;
+	var y;
+	var e;
+	var i;
+	var N;
+
+	N = 8;
+	wBuf = new Float64Array( ( 3*N ) + 34 + 2 );
+	w = vector( wBuf, ( 3*N ) + 34, 1, 2 );
+	len = scalar2ndarray( N, {
+		'dtype': 'int32'
+	});
+
+	v = cosqi( [ w, len ] );
+
+	t.strictEqual( v, w, 'returns expected value' );
+
+	expectedCosines = new Float64Array( [ 0.9807852804032304, 0.9238795325112867, 0.8314696123025452, 0.7071067811865476, 0.5555702330196023, 0.38268343236508984, 0.19509032201612833, 6.123233995736766e-17 ] );
+	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 < expectedCosines.length; i++ ) {
+		y = wBuf[ i+2 ];
+		e = expectedCosines[ i ];
+		t.strictEqual( isAlmostSameValue( y, e, ulps ), true, 'within ' + ulps + ' ULPs. N: ' + N + '. y: ' + y + '. E: ' + e );
+	}
+
+	for ( i = 0; i < expectedTwiddles.length; i++ ) {
+		y = wBuf[ ( 2*N ) + i + 2 ];
+		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 = wBuf[ ( 3*N ) + i + 2 ];
+		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 = wBuf[ N+i+2 ];
+		e = 0.0;
+		t.strictEqual( y, e, 'returns expected value' );
+	}
+
+	t.end();
+});

From 51da61046b67c363b84ec91ad16a7027295dfed7 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Tue, 11 Aug 2026 08:40:48 +0530
Subject: [PATCH 2/4] test: use integers

Signed-off-by: Gunj Joshi <gunjjoshi8372@gmail.com>
---
 .../@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js       | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js
index b1483282124b..d7d32eee87a6 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js
@@ -227,7 +227,7 @@ tape( 'the function supports a one-dimensional ndarray having a negative stride'
 
 	expectedCosines = new Float64Array( [ 0.9807852804032304, 0.9238795325112867, 0.8314696123025452, 0.7071067811865476, 0.5555702330196023, 0.38268343236508984, 0.19509032201612833, 6.123233995736766e-17 ] );
 	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 ] );
+	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
 
 	ulps = 1;
 	for ( i = 0; i < expectedCosines.length; i++ ) {
@@ -284,7 +284,7 @@ tape( 'the function supports a one-dimensional ndarray having a non-zero offset'
 
 	expectedCosines = new Float64Array( [ 0.9807852804032304, 0.9238795325112867, 0.8314696123025452, 0.7071067811865476, 0.5555702330196023, 0.38268343236508984, 0.19509032201612833, 6.123233995736766e-17 ] );
 	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 ] );
+	expectedFactors = new Float64Array( [ 8, 2, 2, 4 ] );
 
 	ulps = 1;
 	for ( i = 0; i < expectedCosines.length; i++ ) {

From b8a1fd48f7abec16fffaadbcb48bfd5f4865d831 Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Sat, 15 Aug 2026 15:11:20 +0530
Subject: [PATCH 3/4] bench: use correct dtype for len

Signed-off-by: Gunj Joshi <gunjjoshi8372@gmail.com>
---
 .../fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js    | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js
index 861bf41cc1d1..486c73210539 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js
@@ -34,6 +34,9 @@ var cosqi = require( './../lib' );
 var options = {
 	'dtype': 'generic'
 };
+var nopts = {
+	'dtype': 'int32'
+};
 
 
 // FUNCTIONS //
@@ -49,7 +52,7 @@ function createBenchmark( N ) {
 	var len;
 	var w;
 
-	len = scalar2ndarray( N, options );
+	len = scalar2ndarray( N, nopts );
 	w = zeros( [ ( 3*N ) + 34 ], options );
 
 	return benchmark;

From 37a010dee8423c4102250277c47d27d513d472ed Mon Sep 17 00:00:00 2001
From: Gunj Joshi <gunjjoshi8372@gmail.com>
Date: Mon, 24 Aug 2026 20:33:08 +0530
Subject: [PATCH 4/4] chore: move to generic namespace

---
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
---
---
 .../ndarray/{ => generic}/cosqi/README.md     | 29 +++++++++++++++++--
 .../cosqi/benchmark/benchmark.js              |  0
 .../ndarray/{ => generic}/cosqi/docs/repl.txt | 11 +++----
 .../{ => generic}/cosqi/docs/types/index.d.ts |  2 +-
 .../{ => generic}/cosqi/docs/types/test.ts    |  0
 .../{ => generic}/cosqi/examples/index.js     |  0
 .../ndarray/{ => generic}/cosqi/lib/index.js  |  4 +--
 .../ndarray/{ => generic}/cosqi/lib/main.js   |  4 +--
 .../ndarray/{ => generic}/cosqi/package.json  |  2 +-
 .../ndarray/{ => generic}/cosqi/test/test.js  |  4 +--
 10 files changed, 40 insertions(+), 16 deletions(-)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/README.md (64%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/benchmark/benchmark.js (100%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/docs/repl.txt (86%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/docs/types/index.d.ts (98%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/docs/types/test.ts (100%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/examples/index.js (100%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/lib/index.js (92%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/lib/main.js (95%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/package.json (95%)
 rename lib/node_modules/@stdlib/fft/base/fftpack/ndarray/{ => generic}/cosqi/test/test.js (98%)

diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/README.md b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/README.md
similarity index 64%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/README.md
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/README.md
index f161182957e9..4c22c26580f4 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/README.md
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/README.md
@@ -33,7 +33,7 @@ limitations under the License.
 ## Usage
 
 ```javascript
-var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/cosqi' );
+var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/generic/cosqi' );
 ```
 
 #### cosqi( arrays )
@@ -84,7 +84,30 @@ The function has the following parameters:
 
 ## Notes
 
--   If provided an empty one-dimensional input ndarray, the function returns the output ndarray unchanged.
+-   Let `N` equal the number of elements in the input ndarray. The input ndarray is divided into four sections:
+
+    ```text
+            size = N              N                   N          2+ceil(log2(N)/2)
+                ↓                 ↓                   ↓                  ↓
+        | cosine table | scratch / workspace | twiddle factors | radix factor table |
+                ↑                 ↑                   ↑                  ↑
+    i = 0      ...     N         ...        2N       ...      3N        ...
+    ```
+
+    -   **cosine table**: a table of precomputed cosine coefficients used by quarter-wave cosine transforms.
+    -   **scratch/workspace**: used as a scratch space when performing transforms. This section is not updated during initialization.
+    -   **twiddle factors**: a table of reusable complex-exponential constants stored as cosine/sine pairs.
+    -   **radix factor table**: a table containing the sequence length `N`, the number of factors into which `N` was decomposed, and the individual integer radix factors.
+
+-   In general, an input ndarray should have `3N + 34` indexed elements (as `log2(N)/2 ≤ 32` for all `2^64`). During initialization, only the sections for storing the cosine coefficients, twiddle factors, and the factorization of `N` are updated.
+
+-   The radix factor table is comprised as follows:
+
+    ```text
+    | sequence_length | number_of_factors | integer_factors |
+    ```
+
+-   If provided an empty one-dimensional input ndarray, the function returns the input ndarray unchanged.
 
 </section>
 
@@ -100,7 +123,7 @@ The function has the following parameters:
 var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
 var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
 var ndarray2array = require( '@stdlib/ndarray/to-array' );
-var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/cosqi' );
+var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/generic/cosqi' );
 
 var N = 8;
 
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/benchmark/benchmark.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/benchmark/benchmark.js
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/benchmark/benchmark.js
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/repl.txt b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/docs/repl.txt
similarity index 86%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/repl.txt
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/docs/repl.txt
index 3e449e9e8fbd..a1b502351360 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/repl.txt
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/docs/repl.txt
@@ -1,9 +1,9 @@
 
 {{alias}}( arrays )
-    Initializes a workspace array for performing a quarter-wave cosine
-    transform on a one-dimensional ndarray.
+    Initializes a workspace array for performing a quarter-wave cosine transform
+    on a one-dimensional ndarray.
 
-    If provided an empty input ndarray, the function returns the output ndarray
+    If provided an empty input ndarray, the function returns the input ndarray
     unchanged.
 
     Parameters
@@ -18,13 +18,14 @@
     Returns
     -------
     out: ndarray
-        Output ndarray.
+        Input ndarray.
 
     Examples
     --------
     > var N = 8;
     > var w = new {{alias:@stdlib/ndarray/vector/float64}}( ( 3*N ) + 34 );
-    > var len = {{alias:@stdlib/ndarray/from-scalar}}( N, { 'dtype': 'int32' });
+    > var opts = { 'dtype': 'int32' };
+    > var len = {{alias:@stdlib/ndarray/from-scalar}}( N, opts );
     > var out = {{alias}}( [ w, len ] )
     <ndarray>
     > var bool = ( out === w )
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/index.d.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/docs/types/index.d.ts
similarity index 98%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/index.d.ts
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/docs/types/index.d.ts
index 01a07436dfae..5dc6105b8855 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/docs/types/index.d.ts
@@ -38,7 +38,7 @@ type InputArray = floatndarray | genericndarray<number>;
 *     -   a zero-dimensional ndarray containing the length of the sequence to transform.
 *
 * @param arrays - array-like object containing ndarrays
-* @returns output ndarray
+* @returns input ndarray
 *
 * @example
 * var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/test.ts b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/docs/types/test.ts
similarity index 100%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/docs/types/test.ts
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/docs/types/test.ts
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/examples/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/examples/index.js
similarity index 100%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/examples/index.js
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/examples/index.js
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/index.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/lib/index.js
similarity index 92%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/index.js
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/lib/index.js
index 57bae4edf840..b8bb27cc434a 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/index.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/lib/index.js
@@ -21,14 +21,14 @@
 /**
 * Initialize a workspace array for performing a quarter-wave cosine transform on a one-dimensional ndarray.
 *
-* @module @stdlib/fft/base/fftpack/ndarray/cosqi
+* @module @stdlib/fft/base/fftpack/ndarray/generic/cosqi
 *
 * @example
 * var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
 * var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
 * var Slice = require( '@stdlib/slice/ctor' );
 * var slice = require( '@stdlib/ndarray/slice' );
-* var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/cosqi' );
+* var cosqi = require( '@stdlib/fft/base/fftpack/ndarray/generic/cosqi' );
 *
 * var N = 8;
 * var len = scalar2ndarray( N, {
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/main.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/lib/main.js
similarity index 95%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/main.js
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/lib/main.js
index e58b2a46586e..318fd3307a26 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/lib/main.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/lib/main.js
@@ -23,7 +23,7 @@
 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/cosqi' );
+var strided = require( '@stdlib/fft/base/fftpack/generic/cosqi' );
 var ndarraylike2scalar = require( '@stdlib/ndarray/base/ndarraylike2scalar' );
 
 
@@ -40,7 +40,7 @@ var ndarraylike2scalar = require( '@stdlib/ndarray/base/ndarraylike2scalar' );
 *     -   a zero-dimensional ndarray containing the length of the sequence to transform.
 *
 * @param {ArrayLikeObject<Object>} arrays - array-like object containing ndarrays
-* @returns {ndarrayLike} output ndarray
+* @returns {ndarrayLike} input ndarray
 *
 * @example
 * var Float64Vector = require( '@stdlib/ndarray/vector/float64' );
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/package.json b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/package.json
similarity index 95%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/package.json
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/package.json
index 90c3a92d244b..9678462efe63 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/package.json
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/package.json
@@ -1,5 +1,5 @@
 {
-  "name": "@stdlib/fft/base/fftpack/ndarray/cosqi",
+  "name": "@stdlib/fft/base/fftpack/ndarray/generic/cosqi",
   "version": "0.0.0",
   "description": "Initialize a workspace array for performing a quarter-wave cosine transform on a one-dimensional ndarray.",
   "license": "Apache-2.0",
diff --git a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/test/test.js
similarity index 98%
rename from lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js
rename to lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/test/test.js
index d7d32eee87a6..f184f2e82791 100644
--- a/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/cosqi/test/test.js
+++ b/lib/node_modules/@stdlib/fft/base/fftpack/ndarray/generic/cosqi/test/test.js
@@ -83,7 +83,7 @@ tape( 'the function correctly initializes cosine, twiddle and integer factors in
 	wBuf = new Float64Array( ( 3*N ) + 34 );
 	w = vector( wBuf, ( 3*N ) + 34, 1, 0 );
 	v = cosqi( [ w, len ] );
-	t.strictEqual( v, w, 'returns expected workspace reference' );
+	t.strictEqual( v, w, 'returns expected value' );
 
 	expectedCosines = new Float64Array( [ 0.9807852804032304, 0.9238795325112867, 0.8314696123025452, 0.7071067811865476, 0.5555702330196023, 0.38268343236508984, 0.19509032201612833, 6.123233995736766e-17 ] );
 	expectedTwiddles = new Float64Array( [ 0.7071067811865476, 0.7071067811865475, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
@@ -117,7 +117,7 @@ tape( 'the function correctly initializes cosine, twiddle and integer factors in
 	t.end();
 });
 
-tape( 'if provided an empty ndarray, the function returns the output ndarray unchanged', function test( t ) {
+tape( 'if provided an empty ndarray, the function returns the input ndarray unchanged', function test( t ) {
 	var expected;
 	var wBuf;
 	var len;