diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/README.md b/lib/node_modules/@stdlib/lapack/base/dlae2/README.md
new file mode 100644
index 00000000000..5cdcf96b865
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/README.md
@@ -0,0 +1,221 @@
+
+
+# dlae2
+
+> Compute the eigenvalues of a 2x2 symmetric matrix.
+
+
+
+## Usage
+
+```javascript
+var dlae2 = require( '@stdlib/lapack/base/dlae2' );
+```
+
+#### dlae2( A, B, C, out )
+
+Computes the eigenvalues of a 2x2 symmetric matrix.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var out = new Float64Array( 2 );
+out = dlae2( 2.0, 3.0, 4.0, out );
+// out => [ ~6.162, ~-0.162 ]
+```
+
+The function has the following parameters:
+
+- **A**: the (0,0) element of a 2x2 symmetric matrix.
+- **B**: the (0,1) and (1,0) elements of a 2x2 symmetric matrix.
+- **C**: the (1,1) element of a 2x2 symmetric matrix.
+- **out**: output [`Float64Array`][mdn-float64array] containing the eigenvalues of the larger and smaller absolute values, respectively.
+
+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 array:
+var out0 = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+
+// Create an offset view...
+var out1 = new Float64Array( out0.buffer, out0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+dlae2( 2.0, 3.0, 4.0, out1 );
+// out0 => [ 0.0, ~6.162, ~-0.162 ]
+```
+
+#### dlae2.ndarray( A, B, C, out, strideOut, offsetOut )
+
+Computes the eigenvalues of a 2x2 symmetric matrix using alternative indexing semantics.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var out = new Float64Array( 2 );
+out = dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 );
+// out => [ ~6.162, ~-0.162 ]
+```
+
+The function has the following additional parameters:
+
+- **strideOut**: stride length for `out`.
+- **offsetOut**: starting index of `out`
+
+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 out = new Float64Array( [ 0.0, 0.0, 0.0 ] );
+out = dlae2.ndarray( 2.0, 3.0, 4.0, out, -2, 2 );
+// out => [ ~-0.162, 0.0, ~6.162 ]
+```
+
+
+
+
+
+
+
+## Notes
+
+- `dlae2()` corresponds to the [LAPACK][lapack] routine [`dlae2`][lapack-dlae2].
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+var dlae2 = require( '@stdlib/lapack/base/dlae2' );
+
+var out = new Float64Array( 2 );
+out = dlae2( 2.0, 3.0, 4.0, out );
+console.log( out );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+TODO
+```
+
+#### TODO
+
+TODO.
+
+```c
+TODO
+```
+
+TODO
+
+```c
+TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[lapack]: https://www.netlib.org/lapack/explore-html/
+
+[lapack-dlae2]: https://www.netlib.org/lapack/explore-html/d7/dea/group__lae2_ga44e727d32752c2fa22d7deaff099249b.html#ga44e727d32752c2fa22d7deaff099249b
+
+[mdn-float64array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float64Array
+
+[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/dlae2/benchmark/benchmark.js b/lib/node_modules/@stdlib/lapack/base/dlae2/benchmark/benchmark.js
new file mode 100644
index 00000000000..19662b2fade
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/benchmark/benchmark.js
@@ -0,0 +1,60 @@
+/**
+* @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 Float64Array = require( '@stdlib/array/float64' );
+var randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var dlae2 = require( './../lib/dlae2.js' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var out;
+ var A;
+ var B;
+ var C;
+ var i;
+
+ b.tic();
+ A = ( randu() * 100.0 ) - 50.0;
+ B = ( randu() * 100.0 ) - 50.0;
+ C = ( randu() * 100.0 ) - 50.0;
+ out = new Float64Array( 2 );
+ for ( i = 0; i < b.iterations; i++ ) {
+ out = dlae2( A, B, C, out );
+ A = out[ i%out.length ];
+ B = out[ i%out.length ];
+ C = out[ i%out.length ];
+ if ( isnan( out[ i%out.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( out[ i%out.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlae2/benchmark/benchmark.ndarray.js
new file mode 100644
index 00000000000..25b81eebf0b
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/benchmark/benchmark.ndarray.js
@@ -0,0 +1,61 @@
+/**
+* @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 Float64Array = require( '@stdlib/array/float64' );
+var randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var dlae2 = require( './../lib/ndarray.js' );
+
+
+// MAIN //
+
+bench( pkg+':ndarray', function benchmark( b ) {
+ var out;
+ var A;
+ var B;
+ var C;
+ var i;
+
+ A = ( randu() * 100.0 ) - 50.0;
+ B = ( randu() * 100.0 ) - 50.0;
+ C = ( randu() * 100.0 ) - 50.0;
+ out = new Float64Array( 2 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ out = dlae2( A, B, C, out, 1, 0 );
+ A = out[ i%out.length ];
+ B = out[ i%out.length ];
+ C = out[ i%out.length ];
+ if ( isnan( out[ i%out.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( out[ i%out.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/docs/repl.txt b/lib/node_modules/@stdlib/lapack/base/dlae2/docs/repl.txt
new file mode 100644
index 00000000000..df9bacaa7bc
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/docs/repl.txt
@@ -0,0 +1,76 @@
+
+{{alias}}( A, B, C, out )
+ Computes the eigenvalues of a 2x2 symmetric matrix.
+
+ Indexing is relative to the first index. To introduce an offset, use typed
+ array views.
+
+ Parameters
+ ----------
+ A: number
+ The (0,0) element of a 2x2 symmetric matrix.
+
+ B: number
+ The (0,1) and (1,0) elements of a 2x2 symmetric matrix.
+
+ C: number
+ The (1,1) element of a 2x2 symmetric matrix.
+
+ out: Float64Array
+ Output array containing eigenvalues of the larger and smaller absolute
+ values, respectively.
+
+ Returns
+ -------
+ out: Float64Array
+ Output array.
+
+ Examples
+ --------
+ > var out = new {{alias:@stdlib/array/float64}}( 2 );
+ > {{alias}}( 2.0, 3.0, 4.0, out )
+ [ ~6.162, ~-0.162 ]
+
+
+{{alias}}.ndarray( A, B, C, out, strideOut, offsetOut )
+ Computes the eigenvalues of a 2x2 symmetric matrix 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.
+
+ Parameters
+ ----------
+ A: number
+ The (0,0) element of a 2x2 symmetric matrix matrix.
+
+ B: number
+ The (0,1) and (1,0) elements of a 2x2 symmetric matrix matrix.
+
+ C: number
+ The (1,1) element of a 2x2 symmetric matrix matrix.
+
+ out: Float64Array
+ Output array containing eigenvalues of the larger and smaller absolute
+ values, respectively.
+
+ strideOut: integer
+ Stride length for `out`.
+
+ offsetOut: integer
+ Starting index of `out`.
+
+ Returns
+ -------
+ out: Float64Array
+ Output matrix.
+
+ Examples
+ --------
+ > var out = new {{alias:@stdlib/array/float64}}( [ 0.0, 0.0, 0.0 ] );
+ > {{alias}}.ndarray( 2.0, 3.0, 4.0, out, 1, 1 )
+ [ 0.0, ~6.162, ~-0.162 ]
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/docs/types/index.d.ts b/lib/node_modules/@stdlib/lapack/base/dlae2/docs/types/index.d.ts
new file mode 100644
index 00000000000..9a2bca4e136
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/docs/types/index.d.ts
@@ -0,0 +1,94 @@
+/**
+* @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
+
+///
+/**
+* Interface describing `dlae2`.
+*/
+interface Routine {
+ /**
+ * Computes the eigenvalues of a 2x2 symmetric matrix.
+ *
+ * @param A - the (0,0) element of a 2x2 symmetric matrix
+ * @param B - the (0,1) and (1,0) element of a 2x2 symmetric matrix
+ * @param C - the (1,1) element of a 2x2 symmetric matrix
+ * @param out - output array containing eigenvalues of the larger and smaller absolute values, respectively
+ * @returns output array
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var out = new Float64Array( 2 );
+ * out = dlae2( 2.0, 3.0, 4.0, out );
+ * // out => [ ~6.162, ~-0.162 ]
+ */
+ ( A: number, B: number, C: number, out: Float64Array ): Float64Array;
+
+ /**
+ * Computes the eigenvalues of a 2x2 symmetric matrix using alternative indexing semantics.
+ *
+ * @type {Function}
+ * @param A - the (0,0) element of a 2x2 symmetric matrix
+ * @param B - the (0,1) and (1,0) element of a 2x2 symmetric matrix
+ * @param C - the (1,1) element of a 2x2 symmetric matrix
+ * @param out - output array containing eigenvalues of the larger and smaller absolute values, respectively
+ * @param strideOut - stride length for `out`
+ * @param offsetOut - starting index of `out`
+ * @returns output array
+ *
+ * @example
+ * var Float64Array = require( '@stdlib/array/float64' );
+ *
+ * var out = new Float64Array( 2 );
+ * out = dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 );
+ * // out => [ ~6.162, ~-0.162 ]
+ */
+ ndarray( A: number, B: number, C: number, out: Float64Array, strideOut: number, offsetOut: number ): Float64Array;
+}
+
+/**
+* Computes the eigenvalues of a 2x2 symmetric matrix.
+*
+* @param A - the (0,0) element of a 2x2 symmetric matrix
+* @param B - the (0,1) and (1,0) element of a 2x2 symmetric matrix
+* @param C - the (1,1) element of a 2x2 symmetric matrix
+* @param out - output array containing eigenvalues of the larger and smaller absolute values, respectively
+* @returns output array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var out = new Float64Array( 2 );
+* out = dlae2( 2.0, 3.0, 4.0, out );
+* // out => [ ~6.162, ~-0.162 ]
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var out = new Float64Array( 2 );
+* out = dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 );
+* // out => [ ~6.162, ~-0.162 ]
+*/
+declare var dlae2: Routine;
+
+
+// EXPORTS //
+
+export = dlae2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/docs/types/test.ts b/lib/node_modules/@stdlib/lapack/base/dlae2/docs/types/test.ts
new file mode 100644
index 00000000000..1917d97a752
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/docs/types/test.ts
@@ -0,0 +1,200 @@
+/*
+* @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 dlae2 = require( './index' );
+
+
+// TESTS //
+
+// The function returns a Float64Array...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2( 2.0, 3.0, 4.0, out ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2( '5', 3.0, 4.0, out ); // $ExpectError
+ dlae2( true, 3.0, 4.0, out ); // $ExpectError
+ dlae2( false, 3.0, 4.0, out ); // $ExpectError
+ dlae2( null, 3.0, 4.0, out ); // $ExpectError
+ dlae2( void 0, 3.0, 4.0, out ); // $ExpectError
+ dlae2( [], 3.0, 4.0, out ); // $ExpectError
+ dlae2( {}, 3.0, 4.0, out ); // $ExpectError
+ dlae2( ( x: number ): number => x, 3.0, 4.0, out ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a number...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2( 2.0, '5', 4.0, out ); // $ExpectError
+ dlae2( 2.0, true, 4.0, out ); // $ExpectError
+ dlae2( 2.0, false, 4.0, out ); // $ExpectError
+ dlae2( 2.0, null, 4.0, out ); // $ExpectError
+ dlae2( 2.0, void 0, 4.0, out ); // $ExpectError
+ dlae2( 2.0, [], 4.0, out ); // $ExpectError
+ dlae2( 2.0, {}, 4.0, out ); // $ExpectError
+ dlae2( 2.0, ( x: number ): number => x, 4.0, out ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2( 2.0, 3.0, '5', out ); // $ExpectError
+ dlae2( 2.0, 3.0, true, out ); // $ExpectError
+ dlae2( 2.0, 3.0, false, out ); // $ExpectError
+ dlae2( 2.0, 3.0, null, out ); // $ExpectError
+ dlae2( 2.0, 3.0, void 0, out ); // $ExpectError
+ dlae2( 2.0, 3.0, [], out ); // $ExpectError
+ dlae2( 2.0, 3.0, {}, out ); // $ExpectError
+ dlae2( 2.0, 3.0, ( x: number ): number => x, out ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a Float64Array...
+{
+
+ dlae2( 2.0, 3.0, 4.0, '5' ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, 5 ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, true ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, false ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, null ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, void 0 ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, [] ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, {} ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2(); // $ExpectError
+ dlae2( 2.0 ); // $ExpectError
+ dlae2( 2.0, 3.0 ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0 ); // $ExpectError
+ dlae2( 2.0, 3.0, 4.0, out, 10 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns a Float64Array...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2.ndarray( '5', 3.0, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( true, 3.0, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( false, 3.0, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( null, 3.0, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( void 0, 3.0, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( [], 3.0, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( {}, 3.0, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( ( x: number ): number => x, 3.0, 4.0, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a number...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2.ndarray( 2.0, '5', 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, true, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, false, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, null, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, void 0, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, [], 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, {}, 4.0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, ( x: number ): number => x, 4.0, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2.ndarray( 2.0, 3.0, '5', out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, true, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, false, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, null, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, void 0, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, [], out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, {}, out, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, ( x: number ): number => x, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a Float64Array...
+{
+
+ dlae2.ndarray( 2.0, 3.0, 4.0, '5', 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, 5, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, true, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, false, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, null, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, void 0, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, [], 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, {}, 1, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, ( 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 out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, '5', 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, true, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, false, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, null, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, void 0, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, [], 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, {}, 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, ( 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 out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, '5' ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, true ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, false ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, null ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, void 0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, [] ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, {} ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments...
+{
+ const out = new Float64Array( [ 1.0, 2.0 ] );
+
+ dlae2.ndarray(); // $ExpectError
+ dlae2.ndarray( 2.0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1 ); // $ExpectError
+ dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, 0, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/examples/index.js b/lib/node_modules/@stdlib/lapack/base/dlae2/examples/index.js
new file mode 100644
index 00000000000..e113aa25be6
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/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 dlae2 = require( './../lib' );
+
+var out = new Float64Array( 2 );
+out = dlae2( 2.0, 3.0, 4.0, out );
+console.log( out );
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/lib/base.js b/lib/node_modules/@stdlib/lapack/base/dlae2/lib/base.js
new file mode 100644
index 00000000000..8e3d9f8aa1f
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/lib/base.js
@@ -0,0 +1,104 @@
+/**
+* @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 sqrt = require( '@stdlib/math/base/special/sqrt' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var pow = require( '@stdlib/math/base/special/pow' );
+
+
+// MAIN //
+
+/**
+* Computes the eigenvalues of a 2x2 symmetric matrix.
+*
+* @private
+* @param {number} A - the (0,0) element of a 2x2 symmetric matrix
+* @param {number} B - the (0,1) and (1,0) element of a 2x2 symmetric matrix
+* @param {number} C - the (1,1) element of a 2x2 symmetric matrix
+* @param {Float64Array} out - output array containing eigenvalues of the larger and smaller absolute values, respectively
+* @param {integer} strideOut - stride length for `out`
+* @param {NonNegativeInteger} offsetOut - starting index of `out`
+* @returns {Float64Array} output array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var out = new Float64Array( 2 );
+* out = dlae2( 2.0, 3.0, 4.0, out, 1, 0 );
+* // out => [ ~6.162, ~-0.162 ]
+*/
+function dlae2( A, B, C, out, strideOut, offsetOut ) {
+ var acmx;
+ var acmn;
+ var adf;
+ var rt1;
+ var rt2;
+ var ab;
+ var df;
+ var sm;
+ var rt;
+ var tb;
+
+ sm = A + C;
+ df = A - C;
+ adf = abs( df );
+ tb = B + B;
+ ab = abs( tb );
+ if ( abs( A ) > abs( C ) ) {
+ acmx = A;
+ acmn = C;
+ } else {
+ acmx = C;
+ acmn = A;
+ }
+ if ( adf > ab ) {
+ rt = adf * sqrt( 1.0 + pow( ( ab / adf ), 2 ) );
+ } else if ( adf < ab ) {
+ rt = ab * sqrt( 1.0 + pow( ( adf / ab ), 2 ) );
+ } else {
+ // Includes case AB = ADF = 0.0
+ rt = ab * sqrt( 2.0 );
+ }
+ if ( sm < 0.0 ) {
+ rt1 = 0.5 * ( sm - rt );
+
+ // Order of execution is important. To get fully accurate smaller eigenvalue, next line needs to be executed in higher precision.
+ rt2 = ( ( acmx / rt1 ) * acmn ) - ( ( B / rt1 ) * B );
+ } else if ( sm > 0.0 ) {
+ rt1 = 0.5 * ( sm + rt );
+
+ // Order of execution is important. To get fully accurate smaller eigenvalue, next line needs to be executed in higher precision.
+ rt2 = ( ( acmx / rt1 ) * acmn ) - ( ( B / rt1 ) * B );
+ } else {
+ // Includes case RT1 = RT2 = 0.0
+ rt1 = 0.5 * rt;
+ rt2 = -0.5 * rt;
+ }
+ out[ offsetOut ] = rt1;
+ out[ offsetOut + strideOut ] = rt2;
+ return out;
+}
+
+
+// EXPORTS //
+
+module.exports = dlae2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/lib/dlae2.js b/lib/node_modules/@stdlib/lapack/base/dlae2/lib/dlae2.js
new file mode 100644
index 00000000000..13b40b96e6c
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/lib/dlae2.js
@@ -0,0 +1,51 @@
+/**
+* @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 base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Computes the eigenvalues of a 2x2 symmetric matrix.
+*
+* @param {number} A - the (0,0) element of a 2x2 symmetric matrix
+* @param {number} B - the (0,1) and (1,0) element of a 2x2 symmetric matrix
+* @param {number} C - the (1,1) element of a 2x2 symmetric matrix
+* @param {Float64Array} out - output array containing eigenvalues of the larger and smaller absolute values, respectively
+* @returns {Float64Array} output array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var out = new Float64Array( 2 );
+* out = dlae2( 2.0, 3.0, 4.0, out );
+* // out => [ ~6.162, ~-0.162 ]
+*/
+function dlae2( A, B, C, out ) {
+ return base( A, B, C, out, 1, 0 );
+}
+
+
+// EXPORTS //
+
+module.exports = dlae2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/lib/index.js b/lib/node_modules/@stdlib/lapack/base/dlae2/lib/index.js
new file mode 100644
index 00000000000..769f4741775
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/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 eigenvalues of a 2x2 symmetric matrix.
+*
+* @module @stdlib/lapack/base/dlae2
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dlae2 = require( '@stdlib/lapack/base/dlae2' );
+*
+* var out = new Float64Array( 2 );
+* out = dlae2( 2.0, 3.0, 4.0, out );
+* // out => [ ~6.162, ~-0.162 ]
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+* var dlae2 = require( '@stdlib/lapack/base/dlae2' );
+*
+* var out = new Float64Array( 2 );
+* out = dlae2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 );
+* // out => [ ~6.162, ~-0.162 ]
+*/
+
+// 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 dlae2;
+var tmp = tryRequire( join( __dirname, './native.js' ) );
+if ( isError( tmp ) ) {
+ dlae2 = main;
+} else {
+ dlae2 = tmp;
+}
+
+
+// EXPORTS //
+
+module.exports = dlae2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/lib/main.js b/lib/node_modules/@stdlib/lapack/base/dlae2/lib/main.js
new file mode 100644
index 00000000000..57ca56c9189
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/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 dlae2 = require( './dlae2.js' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+setReadOnly( dlae2, 'ndarray', ndarray );
+
+
+// EXPORTS //
+
+module.exports = dlae2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/lib/ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlae2/lib/ndarray.js
new file mode 100644
index 00000000000..7aa2fb01dcd
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/lib/ndarray.js
@@ -0,0 +1,53 @@
+/**
+* @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 base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Computes the eigenvalues of a 2x2 symmetric matrix using alternative indexing semantics.
+*
+* @name dlae2
+* @type {Function}
+* @param {number} A - the (0,0) element of a 2x2 symmetric matrix
+* @param {number} B - the (0,1) and (1,0) element of a 2x2 symmetric matrix
+* @param {number} C - the (1,1) element of a 2x2 symmetric matrix
+* @param {Float64Array} out - output array containing eigenvalues of the larger and smaller absolute values, respectively
+* @param {integer} strideOut - stride length for `out`
+* @param {NonNegativeInteger} offsetOut - starting index of `out`
+* @returns {Float64Array} output array
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var out = new Float64Array( 2 );
+* out = dlae2( 2.0, 3.0, 4.0, out, 1, 0 );
+* // out => [ ~6.162, ~-0.162 ]
+*/
+var dlae2 = base;
+
+
+// EXPORTS //
+
+module.exports = dlae2;
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/package.json b/lib/node_modules/@stdlib/lapack/base/dlae2/package.json
new file mode 100644
index 00000000000..bc128a81664
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/package.json
@@ -0,0 +1,70 @@
+{
+ "name": "@stdlib/lapack/base/dlae2",
+ "version": "0.0.0",
+ "description": "Compute the eigenvalues of a 2x2 symmetric matrix.",
+ "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",
+ "dlae2",
+ "eigenvalues",
+ "symmetric",
+ "linear",
+ "algebra",
+ "subroutines",
+ "array",
+ "ndarray",
+ "matrix",
+ "float64",
+ "double",
+ "float64array"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/test/test.dlae2.js b/lib/node_modules/@stdlib/lapack/base/dlae2/test/test.dlae2.js
new file mode 100644
index 00000000000..1ebcb369a6f
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/test/test.dlae2.js
@@ -0,0 +1,112 @@
+/**
+* @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 dlae2 = require( './../lib/dlae2.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 dlae2, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 4', function test( t ) {
+ t.strictEqual( dlae2.length, 4, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function computes the eigenvalues of a 2x2 symmetric matrix', function test( t ) {
+ var expected;
+ var out;
+
+ out = new Float64Array( 2 );
+ out = dlae2( 2.0, 3.0, 4.0, out );
+ expected = new Float64Array( [ 6.16227766016838, -0.1622776601683793 ] );
+ isApprox( t, out, expected, 1.0 );
+
+ out = dlae2( -1.0, 3.0, 9.4, out );
+ expected = new Float64Array( [ 10.203332407921454, -1.8033324079214537 ] );
+ isApprox( t, out, expected, 1.0 );
+
+ out = dlae2( -99.9, -67.124, -4.24, out );
+ expected = new Float64Array( [ -134.49172211255961, 30.35172211255962 ] );
+ isApprox( t, out, expected, 1.0 );
+ t.end();
+});
+
+tape( 'the function computes eigenvalues of a 2x2 diagonal matrix', function test( t ) {
+ var expected;
+ var out;
+
+ out = new Float64Array( 2 );
+ out = dlae2( 2.0, 0.0, 4.0, out );
+ expected = new Float64Array( [ 4.0, 2.0 ] );
+ isApprox( t, out, expected, 1.0 );
+
+ out = dlae2( -1.0, 0.0, 9.4, out );
+ expected = new Float64Array( [ 9.4, -1.0 ] );
+ isApprox( t, out, expected, 1.0 );
+
+ out = dlae2( -99.9, 0.0, -4.24, out );
+ expected = new Float64Array( [ -99.9, -4.24 ] );
+ isApprox( t, out, expected, 1.0 );
+
+ out = dlae2( 1.0, 0.0, 1.0, out );
+ expected = new Float64Array( [ 1.0, 1.0 ] );
+ isApprox( t, out, expected, 1.0 );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/test/test.js b/lib/node_modules/@stdlib/lapack/base/dlae2/test/test.js
new file mode 100644
index 00000000000..f5d8e78e8e7
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/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 dlae2 = 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 dlae2, '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 dlae2.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 dlae2 = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( dlae2, 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 dlae2;
+ var main;
+
+ main = require( './../lib/dlae2.js' );
+
+ dlae2 = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( dlae2, main, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return new Error( 'Cannot find module' );
+ }
+});
diff --git a/lib/node_modules/@stdlib/lapack/base/dlae2/test/test.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlae2/test/test.ndarray.js
new file mode 100644
index 00000000000..388014e5a83
--- /dev/null
+++ b/lib/node_modules/@stdlib/lapack/base/dlae2/test/test.ndarray.js
@@ -0,0 +1,92 @@
+/**
+* @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 dlae2 = 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 dlae2, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 6', function test( t ) {
+ t.strictEqual( dlae2.length, 6, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports complex access pattern to store computed values', function test( t ) {
+ var expected;
+ var out;
+
+ out = new Float64Array( [ 999.9, 999.9, 0.0, 999.9, 999.9, 0.0 ] );
+ expected = new Float64Array( [ 999.9, 999.9, 6.16227766016838, 999.9, 999.9, -0.1622776601683793 ] );
+ out = dlae2( 2.0, 3.0, 4.0, out, 3, 2 );
+ isApprox( t, out, expected, 1.0 );
+ t.end();
+});
+
+tape( 'the function supports accessing elements in reverse order to store computed values', function test( t ) {
+ var expected;
+ var out;
+
+ out = new Float64Array( [ 999.9, 999.9, 0.0, 999.9, 999.9, 0.0 ] );
+ expected = new Float64Array( [ 999.9, 999.9, -0.1622776601683793, 999.9, 999.9, 6.16227766016838 ] );
+ out = dlae2( 2.0, 3.0, 4.0, out, -3, out.length-1 );
+ isApprox( t, out, expected, 1.0 );
+ t.end();
+});