diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/README.md b/lib/node_modules/@stdlib/lapack/base/dlauu2/README.md
new file mode 100644
index 000000000000..19905be8a529
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/README.md
@@ -0,0 +1,234 @@
+
+
+# dlauu2
+
+> Compute the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A`.
+
+
+
+## Usage
+
+```javascript
+var dlauu2 = require( '@stdlib/lapack/base/dlauu2' );
+```
+
+#### dlauu2( order, uplo, N, A, LDA )
+
+Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A`.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+var out = dlauu2( 'row-major', 'upper', 2, A, 2 );
+// returns 0
+```
+
+The function has the following parameters:
+
+- **order**: storage layout.
+- **uplo**: specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`.
+- **N**: order of triangular factor `U` or `L`.
+- **A**: input `Float64Array` containing the triangular factor `U` or `L`.
+- **LDA**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
+
+Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+// Initial arrays...
+var A0 = new Float64Array( [ 0.0, 1.0, 2.0, 3.0, 4.0 ] );
+
+// Create offset views...
+var A1 = new Float64Array( A0.buffer, A0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+dlauu2( 'row-major', 'upper', 2, A1, 2 );
+// A0 => [ 0.0, 5.0, 8.0, 3.0, 16.0 ]
+```
+
+#### dlauu2.ndarray( uplo, N, A, strideA1, strideA2, offsetA )
+
+Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A` using alternative indexing semantics.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+var out = dlauu2.ndarray( 'upper', 2, A, 2, 1, 0 );
+// returns 0
+```
+
+The function has the following additional parameters:
+
+- **order**: storage layout.
+- **uplo**: specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`.
+- **N**: order of triangular factor `U` or `L`.
+- **A**: input `Float64Array` containing the triangular factor `U` or `L`.
+- **strideA1**: stride of the first dimension of `A`.
+- **strideA2**: stride of the second dimension of `A`.
+- **offsetA**: starting index for `A`.
+
+While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example,
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var A = new Float64Array( [ 0.0, 1.0, 2.0, 3.0, 4.0 ] );
+var out = dlauu2.ndarray( 'upper', 2, A, 2, 1, 1 );
+// returns 0
+```
+
+
+
+
+
+
+
+## Notes
+
+- Both functions mutate the input array `A`.
+
+- Both functions return a status code indicating success or failure. A status code indicates the following conditions:
+
+ - `0`: successful exit.
+ - `<0`: the k-th argument had an illegal value, where `-k` equals the status code value.
+
+- `dlauu2()` corresponds to the [LAPACK][LAPACK] routine [`dlauu2`][lapack-dlauu2].
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var dlauu2 = require( '@stdlib/lapack/base/dlauu2' );
+
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+dlauu2( 'row-major', 'upper', 2, A, 2 );
+console.log( 'A: ', A );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+TODO
+```
+
+#### TODO
+
+TODO.
+
+```c
+TODO
+```
+
+TODO
+
+```c
+TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[lapack]: https://www.netlib.org/lapack/explore-html/
+
+[lapack-dlauu2]: https://netlib.org/lapack/explore-html//d3/d8f/group__lauu2_ga52dc4db093f8513ca2f74195f3aaf689.html
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+
+
+
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/benchmark/benchmark.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/benchmark/benchmark.js
new file mode 100644
index 000000000000..3a5330dc9a83
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/benchmark/benchmark.js
@@ -0,0 +1,99 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 floor = require( '@stdlib/math/base/special/floor' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var pkg = require( './../package.json' ).name;
+var dlauu2 = require( './../lib/dlauu2.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var N = floor( pow( len, 0.5 ) );
+ var M = floor( N / 2 );
+ var A = uniform( M * N, 0.0, 100.0, options );
+ return benchmark;
+
+ function benchmark( b ) {
+ var d;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ d = dlauu2( 'row-major', 'upper', M, A, N );
+ if ( isnan( d ) || isnan( A[i%A.length] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( d ) || isnan( A[i%A.length] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var len;
+ var min;
+ var max;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ len = pow( 10, i );
+ f = createBenchmark( len );
+ bench( pkg+':order=row-major,len='+len, f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/benchmark/benchmark.ndarray.js
new file mode 100644
index 000000000000..f902bcfd4937
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/benchmark/benchmark.ndarray.js
@@ -0,0 +1,99 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 floor = require( '@stdlib/math/base/special/floor' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var pkg = require( './../package.json' ).name;
+var dlauu2 = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var N = floor( pow( len, 0.5 ) );
+ var M = floor( N / 2 );
+ var A = uniform( M * N, 0.0, 100.0, options );
+ return benchmark;
+
+ function benchmark( b ) {
+ var d;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ d = dlauu2( 'upper', M, A, N, 1, 0 );
+ if ( isnan( d ) || isnan( A[i%A.length] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( d ) || isnan( A[i%A.length] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var len;
+ var min;
+ var max;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ len = pow( 10, i );
+ f = createBenchmark( len );
+ bench( pkg+':ndarray:order=row-major,len='+len, f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/repl.txt b/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/repl.txt
new file mode 100644
index 000000000000..b570f29fade5
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/repl.txt
@@ -0,0 +1,98 @@
+
+{{alias}}( order, uplo, N, A, LDA )
+ Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or
+ `L` is stored in the upper or lower triangular part of array `A`.
+
+ Indexing is relative to the first index. To introduce an offset, use typed
+ array views.
+
+ The function mutates `A`.
+
+ Parameters
+ ----------
+ order: string
+ Storage layout.
+
+ uplo: string
+ Specifies whether to copy the upper or lower triangular/trapezoidal
+ part of matrix `A`.
+
+ N: integer
+ Order of triangular factor `U` or `L`.
+
+ A: Float64Array
+ Input array.
+
+ LDA: integer
+ Stride of the first dimension of `A` (a.k.a., leading dimension of the
+ matrix `A`).
+
+ Returns
+ -------
+ info: integer
+ Status code. The status code indicates the following conditions:
+
+ - if equal to zero, then the operation was successful.
+ - if less than zero, then the k-th argument had an illegal value, where
+ `k = -info`.
+
+ Examples
+ --------
+ > var A = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] );
+ > {{alias}}( 'row-major', 'upper', 2, A, 2 )
+ 0
+ > A
+ [ 5.0, 8.0, 3.0, 16.0 ]
+
+
+{{alias}}.ndarray( uplo, N, A, strideA1, strideA2, offsetA )
+ Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U`
+ or `L` is stored in the upper or lower triangular part of array `A` using
+ alternative indexing semantics.
+
+ While typed array views mandate a view offset based on the underlying
+ buffer, the offset parameters support indexing semantics based on starting
+ indices.
+
+ The function mutates both `D` and `E`.
+
+ Parameters
+ ----------
+ uplo: string
+ Specifies whether to copy the upper or lower triangular/trapezoidal
+ part of matrix `A`.
+
+ N: integer
+ Order of triangular factor `U` or `L`.
+
+ A: Float64Array
+ Input array.
+
+ strideA1: integer
+ Stride length for the first dimension of `A`.
+
+ strideA2: integer
+ Stride length for the second dimension of `A`.
+
+ offsetA: integer
+ Starting index for `A`.
+
+ Returns
+ -------
+ info: integer
+ Status code. The status code indicates the following conditions:
+
+ - if equal to zero, then the operation was successful.
+ - if less than zero, then the k-th argument had an illegal value, where
+ `k = -info`.
+
+ Examples
+ --------
+ > var A = new {{alias:@stdlib/array/float64}}( [ 0.0, 1.0, 2.0, 3.0, 4.0 ] );
+ > {{alias}}.ndarray( 'upper', 2, A, 2, 1, 1 )
+ 0
+ > A
+ [ 0.0, 5.0, 8.0, 3.0, 16.0 ]
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/types/index.d.ts b/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/types/index.d.ts
new file mode 100644
index 000000000000..1323f563144e
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/types/index.d.ts
@@ -0,0 +1,98 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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
+
+///
+
+import { Layout, MatrixTriangle } from '@stdlib/types/blas';
+
+/**
+* Interface describing `dlauu2`.
+*/
+interface Routine {
+ /**
+ * Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A`.
+ *
+ * @param order - storage layout
+ * @param uplo - specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`
+ * @param N - order of triangular factor `U` or `L`.
+ * @param A - input array
+ * @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+ * @returns status code
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+ * var out = dlauu2( 'row-major', 'upper', 2, A, 2 );
+ * // returns 0
+ */
+ ( order: Layout, uplo: MatrixTriangle, N: number, A: Float64Array, LDA: number ): number;
+
+ /**
+ * Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A` using alternative indexing semantics.
+ *
+ * @param uplo - specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`
+ * @param N - order of triangular factor `U` or `L`.
+ * @param A - input array
+ * @param strideA1 - stride of the first dimension of `A`
+ * @param strideA2 - stride of the second dimension of `A`
+ * @param offsetA - starting index for `A`
+ * @returns status code
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+ * var out = dlauu2.ndarray( 'upper', 2, A, 2, 1, 0 );
+ * // returns 0
+ */
+ ndarray( uplo: MatrixTriangle, N: number, A: Float64Array, strideA1: number, strideA2: number, offsetA: number ): number;
+}
+
+/**
+* Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A`.
+*
+* @param order - storage layout
+* @param uplo - specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`
+* @param N - order of triangular factor `U` or `L`.
+* @param A - input array
+* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @returns status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+* var out = dlauu2( 'row-major', 'upper', 2, A, 2 );
+* // returns 0
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+* var out = dlauu2.ndarray( 'upper', 2, A, 2, 1, 0 );
+* // returns 0
+*/
+declare var dlauu2: Routine;
+
+
+// EXPORTS //
+
+export = dlauu2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/types/test.ts b/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/types/test.ts
new file mode 100644
index 000000000000..39174f7dcc43
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/docs/types/test.ts
@@ -0,0 +1,215 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import dlauu2 = require( './index' );
+
+
+// TESTS //
+
+// The function returns a Float64Array...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2( 'row-major', 'upper', 2, A, 2 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a string...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2( 5, 'upper', 2, A, 2 ); // $ExpectError
+ dlauu2( true, 'upper', 2, A, 2 ); // $ExpectError
+ dlauu2( false, 'upper', 2, A, 2 ); // $ExpectError
+ dlauu2( null, 'upper', 2, A, 2 ); // $ExpectError
+ dlauu2( void 0, 'upper', 2, A, 2 ); // $ExpectError
+ dlauu2( [], 'upper', 2, A, 2 ); // $ExpectError
+ dlauu2( {}, 'upper', 2, A, 2 ); // $ExpectError
+ dlauu2( ( x: number ): number => x, 'upper', 2, A, 2 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a string...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2( 'row-major', 5, 2, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', true, 2, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', false, 2, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', null, 2, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', void 0, 2, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', [], 2, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', {}, 2, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', ( x: number ): number => x, 2, A, 2 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2( 'row-major', 'upper', '5', A, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', true, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', false, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', null, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', void 0, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', [], A, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', {}, A, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', ( x: number ): number => x, A, 2 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a Float64Array...
+{
+
+ dlauu2( 'row-major', 'upper', 2, '5', 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, 5, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, true, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, false, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, null, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, void 0, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, [], 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, {}, 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, ( x: number ): number => x, 2 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2( 'row-major', 'upper', 2, A, '5' ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A, true ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A, false ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A, null ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A, void 0 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A, [] ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A, {} ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2(); // $ExpectError
+ dlauu2( 'row-major' ); // $ExpectError
+ dlauu2( 'row-major', 'upper' ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2 ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A ); // $ExpectError
+ dlauu2( 'row-major', 'upper', 2, A, 2, 10 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns a Float64Array...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, 0 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a string...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2.ndarray( 5, 2, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( true, 2, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( false, 2, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( null, 2, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( void 0, 2, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( [], 2, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( {}, 2, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( ( x: number ): number => x, 2, A, 2, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a number...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2.ndarray( 'upper', '5', A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', true, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', false, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', null, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', void 0, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', [], A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', {}, A, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', ( x: number ): number => x, A, 2, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a Float64Array...
+{
+
+ dlauu2.ndarray( 'upper', 2, '5', 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, 5, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, true, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, false, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, null, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, void 0, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, [], 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, {}, 2, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, ( x: number ): number => x, 2, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2.ndarray( 'upper', 2, A, '5', 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, true, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, false, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, null, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, void 0, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, [], 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, {}, 1, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2.ndarray( 'upper', 2, A, 2, '5', 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, true, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, false, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, null, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, void 0, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, [], 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, {}, 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a number...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, '5' ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, true ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, false ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, null ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, void 0 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, [] ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, {} ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments...
+{
+ const A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ dlauu2.ndarray(); // $ExpectError
+ dlauu2.ndarray( 'upper' ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1 ); // $ExpectError
+ dlauu2.ndarray( 'upper', 2, A, 2, 1, 0, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/examples/index.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/examples/index.js
new file mode 100644
index 000000000000..79cccfbe5a4e
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/examples/index.js
@@ -0,0 +1,26 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 Float64Array = require( '@stdlib/array/float64' );
+var dlauu2 = require( './../lib' );
+
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+dlauu2( 'row-major', 'upper', 2, A, 2 );
+console.log( 'A: ', A );
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/base.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/base.js
new file mode 100644
index 000000000000..c44381df5460
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/base.js
@@ -0,0 +1,114 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' );
+var dgemv = require( '@stdlib/blas/base/dgemv' ).ndarray;
+var dscal = require( '@stdlib/blas/base/dscal' ).ndarray;
+var ddot = require( '@stdlib/blas/base/ddot' ).ndarray;
+
+
+// MAIN //
+
+/**
+* Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A`.
+*
+* @private
+* @param {string} uplo - specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`
+* @param {NonNegativeInteger} N - order of triangular factor `U` or `L`.
+* @param {Float64Array} A - input array
+* @param {integer} strideA1 - stride of the first dimension of `A`
+* @param {integer} strideA2 - stride of the second dimension of `A`
+* @param {NonNegativeInteger} offsetA - starting index for `A`
+* @returns {integer} status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+* var out = dlauu2( 'upper', 2, A, 2, 1, 0 );
+* // returns 0
+*/
+function dlauu2( uplo, N, A, strideA1, strideA2, offsetA ) {
+ var aii;
+ var i;
+
+ // Quick return if possible
+ if ( N === 0 ) {
+ return 0;
+ }
+ if ( uplo === 'upper' ) {
+ // Compute the product U*U^T.
+ if ( isRowMajor( [ strideA1, strideA2 ] ) ) {
+ for ( i = 0; i < N; i++ ) {
+ aii = A[ offsetA + ( i * strideA1 ) + ( i * strideA2 ) ];
+ if ( i < N - 1 ) {
+ A[ offsetA + ( i * strideA1 ) + ( i * strideA2 ) ] = ddot( N - i, A, strideA2, offsetA + ( i * strideA1 ) + ( i * strideA2 ), A, strideA2, offsetA + ( i * strideA1 ) + ( i * strideA2 ) );
+ dgemv( 'no-transpose', i, N - i - 1, 1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA2 ), A, strideA2, offsetA + ( ( i + 1 ) * strideA2 ) + ( i * strideA1 ), aii, A, strideA1, offsetA + ( i * strideA2 ) );
+ } else {
+ dscal( i + 1, aii, A, strideA1, offsetA + ( i * strideA2 ) );
+ }
+ }
+ return 0;
+ }
+ // column-major
+ for ( i = 0; i < N; i++ ) {
+ aii = A[ offsetA + ( i * strideA1 ) + ( i * strideA2 ) ];
+ if ( i < N - 1 ) {
+ A[ offsetA + ( i * strideA1 ) + ( i * strideA2 ) ] = ddot( N - i, A, strideA2, offsetA + ( i * strideA1 ) + ( i * strideA2 ), A, strideA2, offsetA + ( i * strideA1 ) + ( i * strideA2 ) );
+ dgemv( 'no-transpose', i, N - i - 1, 1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA1 ), A, strideA1, offsetA + ( ( i + 1 ) * strideA1 ) + ( i * strideA2 ), aii, A, strideA2, offsetA + ( i * strideA1 ) );
+ } else {
+ dscal( i + 1, aii, A, strideA1, offsetA + ( i * strideA2 ) );
+ }
+ }
+ return 0;
+ }
+ // Lower
+ // Compute the product L^T*L.
+ if ( isRowMajor( [ strideA1, strideA2 ] ) ) {
+ for (i = 0; i < N; i++ ) {
+ aii = A[ offsetA + ( i * strideA1 ) + ( i * strideA2 ) ];
+ if ( i < N - 1 ) {
+ A[ offsetA + ( i * strideA1 ) + ( i * strideA2 ) ] = ddot( N - i, A, strideA1, offsetA + ( i * strideA1 ) + ( i * strideA2 ), A, strideA1, offsetA + ( i * strideA1 ) + ( i * strideA2 ) );
+ dgemv( 'transpose', N - i - 1, i, 1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA1 ), A, strideA1, offsetA + ( i * strideA2 ) + ( ( i + 1 ) * strideA1 ), aii, A, strideA2, offsetA + ( i * strideA1 ) );
+ } else {
+ dscal( i + 1, aii, A, strideA2, offsetA + ( i * strideA1 ) );
+ }
+ }
+ return 0;
+ }
+ // column-major
+ for (i = 0; i < N; i++ ) {
+ aii = A[ offsetA + ( i * strideA2 ) + ( i * strideA1 ) ];
+ if ( i < N - 1 ) {
+ A[ offsetA + ( i * strideA2 ) + ( i * strideA1 ) ] = ddot( N - i, A, strideA1, offsetA + ( i * strideA2 ) + ( i * strideA1 ), A, strideA1, offsetA + ( i * strideA2 ) + ( i * strideA1 ) );
+ dgemv( 'transpose', N - i - 1, i, 1.0, A, strideA1, strideA2, offsetA + ( ( i + 1 ) * strideA1 ), A, strideA1, offsetA + ( i * strideA2 ) + ( ( i + 1 ) * strideA1 ), aii, A, strideA2, offsetA + ( i * strideA1 ) );
+ } else {
+ dscal( i + 1, aii, A, strideA2, offsetA + ( i * strideA1 ) );
+ }
+ }
+ return 0;
+}
+
+
+// EXPORTS //
+
+module.exports = dlauu2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/dlauu2.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/dlauu2.js
new file mode 100644
index 000000000000..84b336a6668f
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/dlauu2.js
@@ -0,0 +1,72 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 isLayout = require( '@stdlib/blas/base/assert/is-layout' );
+var isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' );
+var format = require( '@stdlib/string/format' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A`.
+*
+* @param {string} order - storage layout
+* @param {string} uplo - specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`
+* @param {NonNegativeInteger} N - order of triangular factor `U` or `L`.
+* @param {Float64Array} A - input array
+* @param {NonNegativeInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @throws {TypeError} first argument must be a valid order
+* @throws {TypeError} second argument must specify whether the lower or upper triangular matrix is supplied
+* @returns {integer} status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+* var out = dlauu2( 'row-major', 'upper', 2, A, 2 );
+* // returns 0
+*/
+function dlauu2( order, uplo, N, A, LDA ) {
+ var sa1;
+ var sa2;
+ if ( !isLayout( order ) ) {
+ throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
+ }
+ if ( !isMatrixTriangle( uplo ) ) {
+ throw new TypeError( format( 'invalid argument. second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
+ }
+ if ( order === 'column-major' ) {
+ sa1 = 1;
+ sa2 = LDA;
+ } else { // order === 'row-major'
+ sa1 = LDA;
+ sa2 = 1;
+ }
+ return base( uplo, N, A, sa1, sa2, 0 );
+}
+
+
+// EXPORTS //
+
+module.exports = dlauu2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/index.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/index.js
new file mode 100644
index 000000000000..943d5afb9208
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/index.js
@@ -0,0 +1,64 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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';
+
+/**
+* LAPACK routine to compute the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A`.
+*
+* @module @stdlib/lapack/base/dlauu2
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dlauu2 = require( '@stdlib/lapack/base/dlauu2' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+* var out = dlauu2( 'row-major', 'upper', 2, A, 2 );
+* // returns 0
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dlauu2 = require( '@stdlib/lapack/base/dlauu2' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+* var out = dlauu2.ndarray( 'upper', 2, A, 2, 1, 0 );
+* // returns 0
+*/
+
+// MODULES //
+
+var join = require( 'path' ).join;
+var tryRequire = require( '@stdlib/utils/try-require' );
+var isError = require( '@stdlib/assert/is-error' );
+var main = require( './main.js' );
+
+
+// MAIN //
+
+var dlauu2;
+var tmp = tryRequire( join( __dirname, './native.js' ) );
+if ( isError( tmp ) ) {
+ dlauu2 = main;
+} else {
+ dlauu2 = tmp;
+}
+
+
+// EXPORTS //
+
+module.exports = dlauu2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/main.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/main.js
new file mode 100644
index 000000000000..e393f0251095
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/main.js
@@ -0,0 +1,35 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var dlauu2 = require( './dlauu2.js' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+setReadOnly( dlauu2, 'ndarray', ndarray );
+
+
+// EXPORTS //
+
+module.exports = dlauu2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/ndarray.js
new file mode 100644
index 000000000000..43e22b4d9656
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/lib/ndarray.js
@@ -0,0 +1,59 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' );
+var format = require( '@stdlib/string/format' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Computes the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array `A` using alternative indexing semantics.
+*
+* @param {string} uplo - specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`
+* @param {NonNegativeInteger} N - order of triangular factor `U` or `L`.
+* @param {Float64Array} A - input array
+* @param {integer} strideA1 - stride of the first dimension of `A`
+* @param {integer} strideA2 - stride of the second dimension of `A`
+* @param {NonNegativeInteger} offsetA - starting index for `A`
+* @throws {TypeError} first argument must specify whether the lower or upper triangular matrix is supplied
+* @returns {integer} status code
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+* var out = dlauu2( 'upper', 2, A, 2, 1, 0 );
+* // returns 0
+*/
+function dlauu2( uplo, N, A, strideA1, strideA2, offsetA ) {
+ if ( !isMatrixTriangle( uplo ) ) {
+ throw new TypeError( format( 'invalid argument. first argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
+ }
+ return base( uplo, N, A, strideA1, strideA2, offsetA );
+}
+
+
+// EXPORTS //
+
+module.exports = dlauu2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/package.json b/lib/node_modules/@stdlib/lapack/base/dlauu2/package.json
new file mode 100644
index 000000000000..73379903ded8
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/package.json
@@ -0,0 +1,69 @@
+{
+ "name": "@stdlib/lapack/base/dlauu2",
+ "version": "0.0.0",
+ "description": "Compute the product `U*U^T` or `L^T*L`, where the triangular factor `U` or `L` is stored in the upper or lower triangular part of array.",
+ "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",
+ "lapack",
+ "triangular",
+ "multiply",
+ "linear",
+ "algebra",
+ "subroutines",
+ "array",
+ "ndarray",
+ "matrix",
+ "float64",
+ "double",
+ "float64array"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.dlauu2.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.dlauu2.js
new file mode 100644
index 000000000000..4f220b8258b1
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.dlauu2.js
@@ -0,0 +1,216 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var dlauu2 = require( './../lib/dlauu2.js' );
+
+
+// FUNCTIONS //
+
+/**
+* Tests for element-wise approximate equality.
+*
+* @private
+* @param {Object} t - test object
+* @param {Collection} actual - actual values
+* @param {Collection} expected - expected values
+* @param {number} rtol - relative tolerance
+*/
+function isApprox( t, actual, expected, rtol ) {
+ var delta;
+ var tol;
+ var i;
+
+ t.strictEqual( actual.length, expected.length, 'returns expected value' );
+ for ( i = 0; i < expected.length; i++ ) {
+ if ( actual[ i ] === expected[ i ] ) {
+ t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
+ } else {
+ delta = abs( actual[ i ] - expected[ i ] );
+ tol = rtol * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+}
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof dlauu2, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 5', function test( t ) {
+ t.strictEqual( dlauu2.length, 5, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid first argument', function test( t ) {
+ var values;
+ var A;
+ var i;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop',
+ -5,
+ NaN,
+ true,
+ false,
+ null,
+ void 0,
+ [],
+ {},
+ function noop() {}
+ ];
+
+ A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ 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() {
+ dlauu2( value, 'upper', 2, A, 2 );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid second argument', function test( t ) {
+ var values;
+ var A;
+ var i;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop',
+ -5,
+ NaN,
+ true,
+ false,
+ null,
+ void 0,
+ [],
+ {},
+ function noop() {}
+ ];
+
+ A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ 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() {
+ dlauu2( 'row-major', value, 2, A, 2 );
+ };
+ }
+});
+
+tape( 'the function correctly sets upper triangular part of matrix with `U*U^T` ( row-major )', function test( t ) {
+ var expected;
+ var out;
+ var A;
+
+ expected = new Float64Array( [ 5.0, 8.0, 3.0, 16.0 ] );
+ A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+ out = dlauu2( 'row-major', 'upper', 2, A, 2 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, 1.0 );
+
+ expected = new Float64Array( [ 17.0, 20.0, 2.0, 25.0, 3.0, 6.0 ] );
+ A = new Float64Array( [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ] );
+ out = dlauu2( 'row-major', 'upper', 2, A, 2 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, 1.0 );
+ t.end();
+});
+
+tape( 'the function correctly sets upper triangular part of matrix with `U*U^T` ( column-major )', function test( t ) {
+ var expected;
+ var out;
+ var A;
+
+ expected = new Float64Array( [ 5.0, 3.0, 8.0, 16.0 ] );
+ A = new Float64Array( [ 1.0, 3.0, 2.0, 4.0 ] );
+ out = dlauu2( 'column-major', 'upper', 2, A, 2 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, 1.0 );
+
+ expected = new Float64Array( [ 10.0, 2.0, 12.0, 16.0, 5.0, 6.0 ] );
+ A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ out = dlauu2( 'column-major', 'upper', 2, A, 2 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, 1.0 );
+ t.end();
+});
+
+tape( 'the function correctly sets lower triangular part of matrix with `L^T*L` ( row-major )', function test( t ) {
+ var expected;
+ var out;
+ var A;
+
+ expected = new Float64Array( [ 66.0, 2.0, 3.0, 76.0, 89.0, 6.0, 63.0, 72.0, 81.0 ] );
+ A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 ] );
+ out = dlauu2( 'row-major', 'lower', 3, A, 3 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, 1.0 );
+
+ expected = new Float64Array( [ 66.0, 2.0, 3.0, 76.0, 89.0, 6.0, 63.0, 72.0, 81.0, 10.0, 11.0, 12.0 ] );
+ A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
+ out = dlauu2( 'row-major', 'lower', 3, A, 3 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, 1.0 );
+ t.end();
+});
+
+tape( 'the function correctly sets lower triangular part of matrix with `L^T*L` ( column-major )', function test( t ) {
+ var expected;
+ var out;
+ var A;
+
+ expected = new Float64Array( [ 66.0, 76.0, 63.0, 2.0, 89.0, 72.0, 3.0, 6.0, 81.0 ] );
+ A = new Float64Array( [ 1.0, 4.0, 7.0, 2.0, 5.0, 8.0, 3.0, 6.0, 9.0 ] );
+ out = dlauu2( 'column-major', 'lower', 3, A, 3 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, 1.0 );
+
+ expected = new Float64Array( [ 66.0, 76.0, 63.0, 2.0, 89.0, 72.0, 3.0, 6.0, 81.0, 10.0, 11.0, 12.0 ] );
+ A = new Float64Array( [ 1.0, 4.0, 7.0, 2.0, 5.0, 8.0, 3.0, 6.0, 9.0, 10.0, 11.0, 12.0 ] );
+ out = dlauu2( 'column-major', 'lower', 3, A, 3 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, 1.0 );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.js
new file mode 100644
index 000000000000..bd0f13128cdb
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.js
@@ -0,0 +1,82 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 proxyquire = require( 'proxyquire' );
+var IS_BROWSER = require( '@stdlib/assert/is-browser' );
+var dlauu2 = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+ 'skip': IS_BROWSER
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof dlauu2, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'attached to the main export is a method providing an ndarray interface', function test( t ) {
+ t.strictEqual( typeof dlauu2.ndarray, 'function', 'method is a function' );
+ t.end();
+});
+
+tape( 'if a native implementation is available, the main export is the native implementation', opts, function test( t ) {
+ var dlauu2 = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( dlauu2, mock, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return mock;
+ }
+
+ function mock() {
+ // Mock...
+ }
+});
+
+tape( 'if a native implementation is not available, the main export is a JavaScript implementation', opts, function test( t ) {
+ var dlauu2;
+ var main;
+
+ main = require( './../lib/dlauu2.js' );
+
+ dlauu2 = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( dlauu2, main, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return new Error( 'Cannot find module' );
+ }
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.ndarray.js
new file mode 100644
index 000000000000..e3ffb0afeb5d
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlauu2/test/test.ndarray.js
@@ -0,0 +1,198 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float64Array = require( '@stdlib/array/float64' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var dlauu2 = require( './../lib/ndarray.js' );
+
+
+// FUNCTIONS //
+
+/**
+* Tests for element-wise approximate equality.
+*
+* @private
+* @param {Object} t - test object
+* @param {Collection} actual - actual values
+* @param {Collection} expected - expected values
+* @param {number} rtol - relative tolerance
+*/
+function isApprox( t, actual, expected, rtol ) {
+ var delta;
+ var tol;
+ var i;
+
+ t.strictEqual( actual.length, expected.length, 'returns expected value' );
+ for ( i = 0; i < expected.length; i++ ) {
+ if ( actual[ i ] === expected[ i ] ) {
+ t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
+ } else {
+ delta = abs( actual[ i ] - expected[ i ] );
+ tol = rtol * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+}
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof dlauu2, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 6', function test( t ) {
+ t.strictEqual( dlauu2.length, 6, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid first argument', function test( t ) {
+ var values;
+ var A;
+ var i;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop',
+ -5,
+ NaN,
+ true,
+ false,
+ null,
+ void 0,
+ [],
+ {},
+ function noop() {}
+ ];
+
+ A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );
+
+ 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() {
+ dlauu2( value, 2, A, 2, 1, 0 );
+ };
+ }
+});
+
+tape( 'the function supports accessing elements from non-contiguous arrangement of row and column', function test( t ) {
+ var expected;
+ var out;
+ var A;
+
+ /* eslint-disable array-element-newline, no-multi-spaces */
+
+ A = new Float64Array([
+ 999, 999, 999, 999, 999, 999,
+ 999, 1, 999, 2, 999, 3,
+ 999, 999, 999, 999, 999, 999,
+ 999, 4, 999, 5, 999, 6,
+ 999, 999, 999, 999, 999, 999,
+ 999, 7, 999, 8, 999, 9,
+ 999, 999, 999, 999, 999, 999
+ ]);
+ expected = new Float64Array([
+ 999, 999, 999, 999, 999, 999,
+ 999, 66, 999, 2, 999, 3,
+ 999, 999, 999, 999, 999, 999,
+ 999, 76, 999, 89, 999, 6,
+ 999, 999, 999, 999, 999, 999,
+ 999, 63, 999, 72, 999, 81,
+ 999, 999, 999, 999, 999, 999
+ ]);
+
+ /* eslint-enable array-element-newline, no-multi-spaces */
+ out = dlauu2( 'lower', 3, A, 12, 2, 7 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, EPS );
+
+ /* eslint-disable array-element-newline, no-multi-spaces */
+
+ A = new Float64Array([
+ 999, 999, 999, 999, 999, 999,
+ 999, 1, 999, 2, 999, 3,
+ 999, 999, 999, 999, 999, 999,
+ 999, 4, 999, 5, 999, 6,
+ 999, 999, 999, 999, 999, 999,
+ 999, 7, 999, 8, 999, 9,
+ 999, 999, 999, 999, 999, 999
+ ]);
+ expected = new Float64Array([
+ 999, 999, 999, 999, 999, 999,
+ 999, 14, 999, 28, 999, 27,
+ 999, 999, 999, 999, 999, 999,
+ 999, 4, 999, 61, 999, 54,
+ 999, 999, 999, 999, 999, 999,
+ 999, 7, 999, 8, 999, 81,
+ 999, 999, 999, 999, 999, 999
+ ]);
+
+ /* eslint-enable array-element-newline, no-multi-spaces */
+ out = dlauu2( 'upper', 3, A, 12, 2, 7 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ isApprox( t, A, expected, EPS );
+ t.end();
+});
+
+tape( 'the function supports accessing elements from non-contiguous arrangement of row and column and in different orders', function test( t ) {
+ var expected;
+ var out;
+ var A;
+
+ /* eslint-disable array-element-newline, no-multi-spaces */
+
+ A = new Float64Array([
+ 999, 999, 999, 999, 999, 999,
+ 999, 1, 999, 2, 999, 3,
+ 999, 999, 999, 999, 999, 999,
+ 999, 4, 999, 5, 999, 6,
+ 999, 999, 999, 999, 999, 999,
+ 999, 7, 999, 8, 999, 9,
+ 999, 999, 999, 999, 999, 999
+ ]);
+ expected = new Float64Array([
+ 999, 999, 999, 999, 999, 999,
+ 999, 1, 999, 2, 999, 3,
+ 999, 999, 999, 999, 999, 999,
+ 999, 4, 999, 29, 999, 36,
+ 999, 999, 999, 999, 999, 999,
+ 999, 7, 999, 8, 999, 126,
+ 999, 999, 999, 999, 999, 999
+ ]);
+
+ /* eslint-enable array-element-newline, no-multi-spaces */
+ out = dlauu2( 'lower', 3, A, -12, -2, 35 );
+ t.strictEqual( out, 0, 'returns expected value' );
+ console.log( A );
+ isApprox( t, A, expected, EPS );
+ t.end();
+});