diff --git a/lib/node_modules/@stdlib/blas/base/grot/README.md b/lib/node_modules/@stdlib/blas/base/grot/README.md
new file mode 100644
index 000000000000..eb2ad4233c8b
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/README.md
@@ -0,0 +1,201 @@
+
+
+# grot
+
+> Apply a plane rotation.
+
+
+
+This BLAS level 1 routine applies a real plane rotation to real double-precision floating-point vectors. The plane rotation is applied to `N` points, where the points to be rotated are contained in vectors `x` and `y` and where the cosine and sine of the angle of rotation are `c` and `s`, respectively. The operation is as follows:
+
+
+
+
+
+where `x_i` and `y_i` are the individual elements on which the rotation is applied.
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var grot = require( '@stdlib/blas/base/grot' );
+```
+
+#### grot( N, x, strideX, y, strideY, c, s )
+
+Applies a plane rotation.
+
+```javascript
+var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+
+grot( x.length, x, 1, y, 1, 0.8, 0.6 );
+// x => [ ~4.4, ~5.8, 7.2, 8.6, 10.0 ]
+// y => [ ~4.2, 4.4, 4.6, 4.8, 5.0 ]
+```
+
+The function has the following parameters:
+
+- **N**: number of indexed elements.
+- **x**: first input array.
+- **strideX**: index increment for `x`.
+- **y**: second input array.
+- **strideY**: index increment for `y`.
+- **c**: cosine of the angle of rotation.
+- **s**: sine of the angle of rotation.
+
+The `N` and stride parameters determine how values in the strided arrays are accessed at runtime. For example, to apply a plane rotation to every other element,
+
+```javascript
+var x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+var y = [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ];
+
+grot( 3, x, 2, y, 2, 0.8, 0.6 );
+// x => [ 5.0, 2.0, 7.8, 4.0, 10.6, 6.0 ]
+// y => [ ~5.0, 8.0, 5.4, 10.0, ~5.8, 12.0 ]
+```
+
+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 x0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var y0 = new Float64Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
+
+// Create offset views...
+var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*3 ); // start at 4th element
+
+grot( 3, x1, -2, y1, 1, 0.8, 0.6 );
+// x0 => [ 1.0, ~8.8, 3.0, 9.8, 5.0, 10.8 ]
+// y0 => [ 7.0, 8.0, 9.0, 4.4, 6.4, ~8.4 ]
+```
+
+#### grot.ndarray( N, x, strideX, offsetX, y, strideY, offsetY, c, s )
+
+Applies a plane rotation using alternative indexing semantics.
+
+```javascript
+var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+
+grot.ndarray( 4, x, 1, 1, y, 1, 1, 0.8, 0.6 );
+// x => [ 1.0, ~5.8, 7.2, 8.6, 10.0 ]
+// y => [ 6.0, 4.4, ~4.6, ~4.8, 5.0 ]
+```
+
+The function has the following additional parameters:
+
+- **offsetX**: starting index for `x`.
+- **offsetY**: starting index for `y`.
+
+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, to apply a plane rotation to every other element starting from the second element,
+
+```javascript
+var x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+var y = [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ];
+
+grot.ndarray( 3, x, 2, 1, y, 2, 1, 0.8, 0.6 );
+// x => [ 1.0, 6.4, 3.0, 9.2, 5.0, 12.0 ]
+// y => [ 7.0, 5.2, 9.0, 5.6, 11.0, ~6.0 ]
+```
+
+
+
+
+
+
+
+## Notes
+
+- If `N <= 0`, both functions leave `x` and `y` unchanged.
+- `grot()` corresponds to the [BLAS][blas] level 1 function [`drot`][drot] with the exception that this implementation works with any array type, not just Float64Arrays. Depending on the environment, the typed versions ([`drot`][@stdlib/blas/base/drot], [`srot`][@stdlib/blas/base/srot], etc.) are likely to be significantly more performant.
+- Both functions support array-like objects having getter and setter accessors for array element access (e.g., [`@stdlib/array/base/accessor`][@stdlib/array/base/accessor]).
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var grot = require( '@stdlib/blas/base/grot' );
+
+var opts = {
+ 'dtype': 'generic'
+};
+var x = discreteUniform( 10, 0, 500, opts );
+console.log( x );
+
+var y = discreteUniform( x.length, 0, 255, opts );
+console.log( y );
+
+// Apply a plane rotation:
+grot( x.length, x, 1, y, 1, 0.8, 0.6 );
+console.log( x );
+console.log( y );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[blas]: http://www.netlib.org/blas
+
+[drot]: https://www.netlib.org/lapack/explore-html-3.6.1/de/da4/group__double__blas__level1_ga54d516b6e0497df179c9831f2554b1f9.html
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+[@stdlib/blas/base/drot]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/drot
+
+[@stdlib/blas/base/srot]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/srot
+
+[@stdlib/array/base/accessor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/base/accessor
+
+
+
+
diff --git a/lib/node_modules/@stdlib/blas/base/grot/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/base/grot/benchmark/benchmark.js
new file mode 100644
index 000000000000..afad48803173
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/benchmark/benchmark.js
@@ -0,0 +1,103 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/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 grot = require( './../lib' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var x = uniform( len, -100.0, 100.0, options );
+ var y = uniform( len, -100.0, 100.0, options );
+ return benchmark;
+
+ /**
+ * Benchmark function.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var z;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ z = grot( x.length, x, 1, y, 1, 0.707, 0.707 );
+ if ( isnan( z[ i%x.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( z[ i%x.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+':len='+len, f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/blas/base/grot/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/blas/base/grot/benchmark/benchmark.ndarray.js
new file mode 100644
index 000000000000..4d68d731f78b
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/benchmark/benchmark.ndarray.js
@@ -0,0 +1,103 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/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 grot = require( './../lib' ).ndarray;
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var x = uniform( len, -100.0, 100.0, options );
+ var y = uniform( len, -100.0, 100.0, options );
+ return benchmark;
+
+ /**
+ * Benchmark function.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var z;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ z = grot( x.length, x, 1, 0, y, 1, 0, 0.707, 0.707 );
+ if ( isnan( z[ i%x.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( z[ i%x.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:len='+len, f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/blas/base/grot/docs/repl.txt b/lib/node_modules/@stdlib/blas/base/grot/docs/repl.txt
new file mode 100644
index 000000000000..a50c8ecf5a98
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/docs/repl.txt
@@ -0,0 +1,136 @@
+
+{{alias}}( N, x, strideX, y, strideY, c, s )
+ Applies a plane rotation.
+
+ The `N` and stride parameters determine which elements in the strided arrays
+ are accessed at runtime.
+
+ Indexing is relative to the first index. To introduce an offset, use typed
+ array views.
+
+ If `N` is less than or equal to `0`, the vectors are unchanged.
+
+ Parameters
+ ----------
+ N: integer
+ Number of indexed elements.
+
+ x: Array|TypedArray
+ First input array.
+
+ strideX: integer
+ Index increment for `x`.
+
+ y: Array|TypedArray
+ Second input array.
+
+ strideY: integer
+ Index increment for `y`.
+
+ c: number
+ Cosine of the angle of rotation.
+
+ s: number
+ Sine of the angle of rotation.
+
+ Returns
+ -------
+ y: Array|TypedArray
+ Input array `y`.
+
+ Examples
+ --------
+ // Standard Usage:
+ > var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ > var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+ > {{alias}}( x.length, x, 1, y, 1, 0.8, 0.6 );
+ > x
+ [ ~4.4, ~5.8, 7.2, 8.6, 10.0 ]
+ > y
+ [ ~4.2, 4.4, 4.6, 4.8, 5.0 ]
+
+ // Advanced Indexing:
+ > x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ > y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+ > {{alias}}( 2, x, -1, y, 2, 0.707, 0.707 );
+ > x
+ [ ~6.36, ~5.66, 3.0, 4.0, 5.0 ]
+ > y
+ [ ~2.83, 7.0, ~4.95, 9.0, 10.0 ]
+
+ // Using typed array views:
+ > var x0 = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+ > var y0 = new {{alias:@stdlib/array/float64}}( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
+ > var x1 = new {{alias:@stdlib/array/float64}}( x0.buffer, x0.BYTES_PER_ELEMENT*1 );
+ > var y1 = new {{alias:@stdlib/array/float64}}( y0.buffer, y0.BYTES_PER_ELEMENT*3 );
+ > {{alias}}( 3, x1, 1, y1, 1, 0.8, 0.6 );
+ > x0
+ [ 1.0, 7.6, 9.0, ~10.4, 5.0, 6.0 ]
+ > y0
+ [ 7.0, 8.0, 9.0, 6.8, ~7.0, ~7.2 ]
+
+
+{{alias}}.ndarray( N, x, strideX, offsetX, y, strideY, offsetY, c, s )
+ Applies a plane rotation 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
+ ----------
+ N: integer
+ Number of indexed elements.
+
+ x: Array|TypedArray
+ First input array.
+
+ strideX: integer
+ Index increment for `x`.
+
+ offsetX: integer
+ Starting index for `x`.
+
+ y: Array|TypedArray
+ Second input array.
+
+ strideY: integer
+ Index increment for `y`.
+
+ offsetY: integer
+ Starting index for `y`.
+
+ c: number
+ Cosine of the angle of rotation.
+
+ s: number
+ Sine of the angle of rotation.
+
+ Returns
+ -------
+ y: Array|TypedArray
+ Input array `y`.
+
+ Examples
+ --------
+ // Standard usage:
+ > var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ > var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+ > {{alias}}.ndarray( 4, x, 1, 1, y, 1, 1, 0.8, 0.6 );
+ > x
+ [ 1.0, ~5.8, 7.2, 8.6, 10.0 ]
+ > y
+ [ 6.0, 4.4, ~4.6, ~4.8, 5.0 ]
+
+ // Advanced Indexing:
+ > x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+ > y = [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ];
+ > {{alias}}.ndarray( 3, x, 2, 1, y, 2, 1, 0.8, 0.6 );
+ > x
+ [ 1.0, 6.4, 3.0, 9.2, 5.0, 12.0 ]
+ > y
+ [ 7.0, 5.2, 9.0, 5.6, 11.0, ~6.0 ]
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/blas/base/grot/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/base/grot/docs/types/index.d.ts
new file mode 100644
index 000000000000..21433e9f62cb
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/docs/types/index.d.ts
@@ -0,0 +1,114 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 { NumericArray, Collection, AccessorArrayLike } from '@stdlib/types/array';
+
+/**
+* Input array.
+*/
+type InputArray = NumericArray | Collection | AccessorArrayLike;
+
+/**
+* Interface describing `grot`.
+*/
+interface Routine {
+ /**
+ * Applies a plane rotation.
+ *
+ * @param N - number of indexed elements
+ * @param x - first input array
+ * @param strideX - `x` stride length
+ * @param y - second input array
+ * @param strideY - `y` stride length
+ * @param c - cosine of the angle of rotation
+ * @param s - sine of the angle of rotation
+ * @returns `y`
+ *
+ * @example
+ * var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ * var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+ *
+ * grot( 5, x, 1, y, 1, 0.8, 0.6 );
+ * // x => [ ~4.4, ~5.8, 7.2, 8.6, 10.0 ]
+ * // y => [ ~4.2, 4.4, 4.6, 4.8, 5.0 ]
+ */
+ ( N: number, x: InputArray, strideX: number, y: T, strideY: number, c: number, s: number ): T;
+
+ /**
+ * Applies a plane rotation using alternative indexing semantics.
+ *
+ * @param N - number of indexed elements
+ * @param x - first input array
+ * @param strideX - `x` stride length
+ * @param offsetX - starting index for `x`
+ * @param y - second input array
+ * @param strideY - `y` stride length
+ * @param offsetY - starting index for `y`
+ * @param c - cosine of the angle of rotation
+ * @param s - sine of the angle of rotation
+ * @returns `y`
+ *
+ * @example
+ * var x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+ * var y = [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ];
+ *
+ * grot.ndarray( 3, x, 2, 1, y, 2, 1, 0.8, 0.6 );
+ * // x => [ 1.0, 6.4, 3.0, 9.2, 5.0, 12.0 ]
+ * // y => [ 7.0, 5.2, 9.0, 5.6, 11.0, ~6.0 ]
+ */
+ ndarray( N: number, x: InputArray, strideX: number, offsetX: number, y: T, strideY: number, offsetY: number, c: number, s: number ): T;
+}
+
+/**
+* Applies a plane rotation.
+*
+* @param N - number of indexed elements
+* @param x - first input array
+* @param strideX - `x` stride length
+* @param y - second input array
+* @param strideY - `y` stride length
+* @param c - cosine of the angle of rotation
+* @param s - sine of the angle of rotation
+* @returns `y`
+*
+* @example
+* var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+* var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+*
+* grot( 5, x, 1, y, 1, 0.8, 0.6 );
+* // x => [ ~4.4, ~5.8, 7.2, 8.6, 10.0 ]
+* // y => [ ~4.2, 4.4, ~4.6, ~4.8, 5.0 ]
+*
+* @example
+* var x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+* var y = [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ];
+*
+* grot.ndarray( 3, x, 2, 1, y, 2, 1, 0.8, 0.6 );
+* // x => [ 1.0, 6.4, 3.0, 9.2, 5.0, 12.0 ]
+* // y => [ 7.0, 5.2, 9.0, 5.6, 11.0, ~6.0 ]
+*/
+declare var grot: Routine;
+
+
+// EXPORTS //
+
+export = grot;
diff --git a/lib/node_modules/@stdlib/blas/base/grot/docs/types/test.ts b/lib/node_modules/@stdlib/blas/base/grot/docs/types/test.ts
new file mode 100644
index 000000000000..ddd1fc22e3f7
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/docs/types/test.ts
@@ -0,0 +1,309 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 grot = require( './index' );
+
+
+// TESTS //
+
+// The function returns a Float64Array...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot( x.length, x, 1, y, 1, 1.0, 0.0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot( '10', x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( true, x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( false, x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( null, x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( undefined, x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( [], x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( {}, x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( ( x: number ): number => x, x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a Float64Array...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot( x.length, 10, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, '10', 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, true, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, false, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, null, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, undefined, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, [], 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, {}, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, ( x: number ): number => x, 1, y, 1, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot( x.length, x, '10', y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, true, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, false, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, null, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, undefined, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, [], y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, {}, y, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, ( x: number ): number => x, y, 1, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a Float64Array...
+{
+ const x = new Float64Array( 10 );
+
+ grot( x.length, x, 1, 10, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, '10', 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, true, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, false, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, null, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, undefined, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, [], 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, {}, 1, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, ( x: number ): number => x, 1, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot( x.length, x, 1, y, '10', 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, true, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, false, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, null, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, undefined, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, [], 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, {}, 1.0, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, ( x: number ): number => x, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot( x.length, x, 1, y, 1, '10', 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, 1, true, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, 1, false, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, 1, null, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, 1, undefined, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, 1, [], 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, 1, {}, 0.0 ); // $ExpectError
+ grot( x.length, x, 1, y, 1, ( x: number ): number => x, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a seventh argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot( x.length, x, 1, y, 1, 1.0, '10' ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0, true ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0, false ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0, null ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0, undefined ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0, [] ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0, {} ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot(); // $ExpectError
+ grot( x.length ); // $ExpectError
+ grot( x.length, x ); // $ExpectError
+ grot( x.length, x, 1 ); // $ExpectError
+ grot( x.length, x, 1, y ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0 ); // $ExpectError
+ grot( x.length, x, 1, y, 1, 1.0, 0.0, 10 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns a Float64Array...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the `ndarray` method is provided a first argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( '10', x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( true, x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( false, x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( null, x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( undefined, x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( [], x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( {}, x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( ( x: number ): number => x, x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a second argument which is not a Float64Array...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( x.length, 10, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, '10', 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, true, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, false, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, null, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, undefined, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, [], 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, {}, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, ( x: number ): number => x, 1, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a third argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( x.length, x, '10', 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, true, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, false, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, null, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, undefined, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, [], 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, {}, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, ( x: number ): number => x, 0, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fourth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( x.length, x, 1, '10', y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, true, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, false, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, null, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, undefined, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, [], y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, {}, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, ( x: number ): number => x, y, 1, 0, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fifth argument which is not a Float64Array...
+{
+ const x = new Float64Array( 10 );
+
+ grot.ndarray( x.length, x, 1, 0, 10, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, '10', 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, true, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, false, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, null, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, undefined, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, [], 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, {}, 1, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, ( x: number ): number => x, 1, 0, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a sixth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( x.length, x, 1, 0, y, '10', 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, true, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, false, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, null, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, undefined, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, [], 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, {}, 0, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, ( x: number ): number => x, 0, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a seventh argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( x.length, x, 1, 0, y, 1, '10', 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, true, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, false, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, null, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, undefined, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, [], 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, {}, 1.0, 0.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, ( x: number ): number => x, 1.0, 0.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a eighth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, '10', 1.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, true, 1.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, false, 1.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, null, 1.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, undefined, 1.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, [], 1.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, {}, 1.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, ( x: number ): number => x, 1.0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a ninth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, '1.0' ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, true ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, false ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, null ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, undefined ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, [] ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, {} ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1, 0, 1.0, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ grot.ndarray(); // $ExpectError
+ grot.ndarray( x.length ); // $ExpectError
+ grot.ndarray( x.length, x ); // $ExpectError
+ grot.ndarray( x.length, x, 1 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1.0 ); // $ExpectError
+ grot.ndarray( x.length, x, 1, 0, y, 1.0, 0.0, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/blas/base/grot/examples/index.js b/lib/node_modules/@stdlib/blas/base/grot/examples/index.js
new file mode 100644
index 000000000000..cdd1c1e111f2
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/examples/index.js
@@ -0,0 +1,35 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var grot = require( './../lib' );
+
+var opts = {
+ 'dtype': 'generic'
+};
+var x = discreteUniform( 10, 0, 500, opts );
+console.log( x );
+
+var y = discreteUniform( x.length, 0, 255, opts );
+console.log( y );
+
+grot( x.length, x, 1, y, 1, 0.8, 0.6 );
+console.log( x );
+console.log( y );
diff --git a/lib/node_modules/@stdlib/blas/base/grot/lib/accessors.js b/lib/node_modules/@stdlib/blas/base/grot/lib/accessors.js
new file mode 100644
index 000000000000..5014a3a3cd10
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/lib/accessors.js
@@ -0,0 +1,89 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MAIN //
+
+/**
+* Applies a plane rotation.
+*
+* @private
+* @param {PositiveInteger} N - number of indexed elements
+* @param {Object} x - input array object
+* @param {Collection} x.data - input array data
+* @param {Array} x.accessors - array element accessors
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting `x` index
+* @param {Object} y - output array object
+* @param {Collection} y.data - output array data
+* @param {Array} y.accessors - array element accessors
+* @param {integer} strideY - `y` stride length
+* @param {NonNegativeInteger} offsetY - starting `y` index
+* @param {number} c - cosine of the angle of rotation
+* @param {number} s - sine of the angle of rotation
+* @returns {Object} output array object
+*
+* @example
+* var toAccessorArray = require( '@stdlib/array/base/to-accessor-array' );
+* var arraylike2object = require( '@stdlib/array/base/arraylike2object' );
+*
+* var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+* var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+*
+* grot( 4, arraylike2object( toAccessorArray( x ) ), 1, 1, arraylike2object( toAccessorArray( y ) ), 1, 1, 0.8, 0.6 );
+* // x => [ 1.0, ~5.8, 7.2, 8.6, 10.0 ]
+* // y => [ 6.0, 4.4, ~4.6, ~4.8, 5.0 ]
+*/
+function grot( N, x, strideX, offsetX, y, strideY, offsetY, c, s ) {
+ var xbuf;
+ var ybuf;
+ var xval;
+ var yval;
+ var set;
+ var get;
+ var ix;
+ var iy;
+ var i;
+
+ // Cache references to array data:
+ xbuf = x.data;
+ ybuf = y.data;
+
+ // Cache references to element accessors:
+ get = x.accessors[ 0 ];
+ set = y.accessors[ 1 ];
+
+ ix = offsetX;
+ iy = offsetY;
+ for ( i = 0; i < N; i++ ) {
+ xval = get( xbuf, ix );
+ yval = get( ybuf, iy );
+
+ set( xbuf, ix, ( c * xval ) + ( s * yval ) );
+ set( ybuf, iy, ( c * yval ) - ( s * xval ) );
+ ix += strideX;
+ iy += strideY;
+ }
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = grot;
diff --git a/lib/node_modules/@stdlib/blas/base/grot/lib/index.js b/lib/node_modules/@stdlib/blas/base/grot/lib/index.js
new file mode 100644
index 000000000000..b15d9cf45841
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/lib/index.js
@@ -0,0 +1,61 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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';
+
+/**
+* BLAS level 1 routine to apply a plane rotation.
+*
+* @module @stdlib/blas/base/grot
+*
+* @example
+* var grot = require( '@stdlib/blas/base/grot' );
+*
+* var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+* var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+*
+* grot( 5, x, 1, y, 1, 0.8, 0.6 );
+* // x => [ ~4.4, ~5.8, 7.2, 8.6, 10.0 ]
+* // y => [ ~4.2, 4.4, 4.6, 4.8, 5.0 ]
+*
+* @example
+* var grot = require( '@stdlib/blas/base/grot' );
+*
+* var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+* var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+*
+* grot( 4, x, 1, 1, y, 1, 1, 0.8, 0.6 );
+* // x => [ 1.0, ~5.8, 7.2, 8.6, 10.0 ]
+* // y => [ 6.0, 4.4, ~4.6, ~4.8, 5.0 ]
+*/
+
+// MODULES //
+
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var main = require( './main.js' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+setReadOnly( main, 'ndarray', ndarray );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/blas/base/grot/lib/main.js b/lib/node_modules/@stdlib/blas/base/grot/lib/main.js
new file mode 100644
index 000000000000..ea73de530387
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/lib/main.js
@@ -0,0 +1,56 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 stride2offset = require( '@stdlib/strided/base/stride2offset' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+/**
+* Applies a plane rotation.
+*
+* @param {PositiveInteger} N - number of indexed elements
+* @param {NumericArray} x - first input array
+* @param {integer} strideX - `x` stride length
+* @param {NumericArray} y - second input array
+* @param {integer} strideY - `y` stride length
+* @param {number} c - cosine of the angle of rotation
+* @param {number} s - sine of the angle of rotation
+* @returns {NumericArray} output array
+*
+* @example
+* var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+* var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+*
+* grot( 5, x, 1, y, 1, 0.8, 0.6 );
+* // x => [ ~4.4, ~5.8, 7.2, 8.6, 10.0 ]
+* // y => [ ~4.2, 4.4, 4.6, 4.8, 5.0 ]
+*/
+function grot( N, x, strideX, y, strideY, c, s ) {
+ return ndarray( N, x, strideX, stride2offset( N, strideX ), y, strideY, stride2offset( N, strideY ), c, s ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = grot;
diff --git a/lib/node_modules/@stdlib/blas/base/grot/lib/ndarray.js b/lib/node_modules/@stdlib/blas/base/grot/lib/ndarray.js
new file mode 100644
index 000000000000..6f7ec928b661
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/lib/ndarray.js
@@ -0,0 +1,84 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 arraylike2object = require( '@stdlib/array/base/arraylike2object' );
+var accessors = require( './accessors.js' );
+
+
+// MAIN //
+
+/**
+* Applies a plane rotation.
+*
+* @param {PositiveInteger} N - number of indexed elements
+* @param {NumericArray} x - first input array
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting `x` index
+* @param {NumericArray} y - second input array
+* @param {integer} strideY - `y` stride length
+* @param {NonNegativeInteger} offsetY - starting `y` index
+* @param {number} c - cosine of the angle of rotation
+* @param {number} s - sine of the angle of rotation
+* @returns {NumericArray} `y`
+*
+* @example
+* var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+* var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+*
+* grot( 4, x, 1, 1, y, 1, 1, 0.8, 0.6 );
+* // x => [ 1.0, ~5.8, 7.2, 8.6, 10.0 ]
+* // y => [ 6.0, 4.4, ~4.6, ~4.8, 5.0 ]
+*/
+function grot( N, x, strideX, offsetX, y, strideY, offsetY, c, s ) {
+ var tmp;
+ var ix;
+ var iy;
+ var ox;
+ var oy;
+ var i;
+
+ if ( N <= 0 ) {
+ return y;
+ }
+ ox = arraylike2object( x );
+ oy = arraylike2object( y );
+ if ( ox.accessorProtocol || oy.accessorProtocol ) {
+ accessors( N, ox, strideX, offsetX, oy, strideY, offsetY, c, s );
+ return oy.data;
+ }
+ ix = offsetX;
+ iy = offsetY;
+
+ for ( i = 0; i < N; i++ ) {
+ tmp = ( c * x[ ix ] ) + ( s * y[ iy ] );
+ y[ iy ] = ( c * y[ iy ] ) - ( s * x[ ix ] );
+ x[ ix ] = tmp;
+ ix += strideX;
+ iy += strideY;
+ }
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = grot;
diff --git a/lib/node_modules/@stdlib/blas/base/grot/package.json b/lib/node_modules/@stdlib/blas/base/grot/package.json
new file mode 100644
index 000000000000..90dead18fd60
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/package.json
@@ -0,0 +1,69 @@
+{
+ "name": "@stdlib/blas/base/grot",
+ "version": "0.0.0",
+ "description": "Applies a plane rotation.",
+ "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",
+ "blas",
+ "level 1",
+ "rot",
+ "drot",
+ "srot",
+ "linear",
+ "algebra",
+ "subroutines",
+ "rotation",
+ "vector",
+ "array",
+ "ndarray"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/grot/test/test.js b/lib/node_modules/@stdlib/blas/base/grot/test/test.js
new file mode 100644
index 000000000000..f70812d2ad86
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/test/test.js
@@ -0,0 +1,38 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 grot = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof grot, '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 grot.ndarray, 'function', 'method is a function' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/blas/base/grot/test/test.main.js b/lib/node_modules/@stdlib/blas/base/grot/test/test.main.js
new file mode 100644
index 000000000000..9bca38191389
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/test/test.main.js
@@ -0,0 +1,751 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 toAccessorArray = require( '@stdlib/array/base/to-accessor-array' );
+var gcopy = require( '@stdlib/blas/base/gcopy' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var grot = require( './../lib/main.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 grot, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 7', function test( t ) {
+ t.strictEqual( grot.length, 7, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=1, sy=1)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var xe;
+ var ye;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, -0.46, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, -0.46, -0.22, 1.06, 0.9, -0.3, -0.4 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.78, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.78, 0.54, 0.08, -0.6, 0.2, 0.8 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ out = grot( N[ i ], x, 1, y, 1, 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 6.0 );
+ isApprox( t, y, ye[ i ], 6.0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=1, sy=1) (accessors)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var yob;
+ var xe;
+ var ye;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, -0.46, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, -0.46, -0.22, 1.06, 0.9, -0.3, -0.4 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.78, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.78, 0.54, 0.08, -0.6, 0.2, 0.8 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ yob = toAccessorArray( y );
+ out = grot( N[ i ], toAccessorArray( x ), 1, yob, 1, 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 6.0 );
+ isApprox( t, y, ye[ i ], 6.0 );
+ t.strictEqual( out, yob, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=2, sy=-2)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var xe;
+ var ye;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.66, 0.1, -0.1, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.96, 0.1, -0.76, 0.8, 0.9, -0.3, -0.02 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.7, -0.9, -0.12, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.64, -0.9, -0.3, 0.7, -0.18, 0.2, 0.28 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ out = grot( N[ i ], x, 2, y, -2, 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 20.0 );
+ isApprox( t, y, ye[ i ], 20.0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=2, sy=-2) (accessors)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var yob;
+ var xe;
+ var ye;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.66, 0.1, -0.1, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.96, 0.1, -0.76, 0.8, 0.9, -0.3, -0.02 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.7, -0.9, -0.12, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.64, -0.9, -0.3, 0.7, -0.18, 0.2, 0.28 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ yob = toAccessorArray( y );
+ out = grot( N[ i ], toAccessorArray( x ), 2, yob, -2, 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 20.0 );
+ isApprox( t, y, ye[ i ], 20.0 );
+ t.strictEqual( out, yob, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=-2, sy=1)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var xe;
+ var ye;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ -0.06, 0.1, -0.1, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.9, 0.1, -0.22, 0.8, 0.18, -0.3, -0.02 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.7, -1.08, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.64, -1.26, 0.54, 0.2, -0.6, 0.2, 0.8 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ out = grot( N[ i ], x, -2, y, 1, 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 20.0 );
+ isApprox( t, y, ye[ i ], 20.0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=-2, sy=1) (accessors)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var yob;
+ var xe;
+ var ye;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ -0.06, 0.1, -0.1, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.9, 0.1, -0.22, 0.8, 0.18, -0.3, -0.02 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.7, -1.08, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.64, -1.26, 0.54, 0.2, -0.6, 0.2, 0.8 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ yob = toAccessorArray( y );
+ out = grot( N[ i ], toAccessorArray( x ), -2, yob, 1, 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 20.0 );
+ isApprox( t, y, ye[ i ], 20.0 );
+ t.strictEqual( out, yob, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=-1, sy=-2)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var xe;
+ var ye;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.26, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.26, -0.76, 1.12, 0.9, -0.3, -0.4 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.18, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.18, 0.7, -0.18, 0.2, 0.16 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ out = grot( N[ i ], x, -1, y, -2, 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 4.0 );
+ isApprox( t, y, ye[ i ], 4.0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=-1, sy=-2) (accessors)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var yob;
+ var xe;
+ var ye;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.26, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.26, -0.76, 1.12, 0.9, -0.3, -0.4 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.18, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.18, 0.7, -0.18, 0.2, 0.16 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ yob = toAccessorArray( y );
+ out = grot( N[ i ], toAccessorArray( x ), -1, yob, -2, 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 4.0 );
+ isApprox( t, y, ye[ i ], 4.0 );
+ t.strictEqual( out, yob, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function supports an `x` stride', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0,
+ 3.0, // 1
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 6.0, // 0
+ 7.0, // 1
+ 8.0,
+ 9.0,
+ 10.0
+ ];
+
+ grot( 2, x, 2, y, 1, 0.8, 0.6 );
+
+ xe = [ 4.4, 2.0, 6.6, 4.0, 5.0 ];
+ ye = [ 4.2, 3.8, 8.0, 9.0, 10.0 ];
+
+ isApprox( t, x, xe, 2.0 );
+ isApprox( t, y, ye, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function supports an `x` stride (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0,
+ 3.0, // 1
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 6.0, // 0
+ 7.0, // 1
+ 8.0,
+ 9.0,
+ 10.0
+ ];
+
+ grot( 2, toAccessorArray( x ), 2, toAccessorArray( y ), 1, 0.8, 0.6 );
+
+ xe = [ 4.4, 2.0, 6.6, 4.0, 5.0 ];
+ ye = [ 4.2, 3.8, 8.0, 9.0, 10.0 ];
+
+ isApprox( t, x, xe, 2.0 );
+ isApprox( t, y, ye, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function supports a `y` stride', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0, // 1
+ 3.0, // 2
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 1.0, // 0
+ 2.0,
+ 3.0, // 1
+ 4.0,
+ 5.0 // 2
+ ];
+
+ grot( 3, x, 1, y, 2, 0.0, -1.0 );
+
+ xe = [ -1.0, -3.0, -5.0, 4.0, 5.0 ];
+ ye = [ 1.0, 2.0, 2.0, 4.0, 3.0 ];
+
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports a `y` stride (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0, // 1
+ 3.0, // 2
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 1.0, // 0
+ 2.0,
+ 3.0, // 1
+ 4.0,
+ 5.0 // 2
+ ];
+
+ grot( 3, toAccessorArray( x ), 1, toAccessorArray( y ), 2, 0.0, -1.0 );
+
+ xe = [ -1.0, -3.0, -5.0, 4.0, 5.0 ];
+ ye = [ 1.0, 2.0, 2.0, 4.0, 3.0 ];
+
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function returns a reference to the second input array', function test( t ) {
+ var out;
+ var x;
+ var y;
+
+ x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+
+ out = grot( x.length, x, 1, y, 1, 1, 0 );
+
+ t.strictEqual( out, y, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns a reference to the second input array (accessors)', function test( t ) {
+ var out;
+ var x;
+ var y;
+
+ x = toAccessorArray( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
+ y = toAccessorArray( [ 6.0, 7.0, 8.0, 9.0, 10.0 ] );
+
+ out = grot( x.length, x, 1, y, 1, 1, 0 );
+
+ t.strictEqual( out, y, 'returns expected value' );
+ t.end();
+});
+
+tape( 'if provided an `N` parameter less than or equal to `0`, the function leaves both input arrays unchanged', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+
+ xe = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
+ gcopy( x.length, x, 1, xe, 1 );
+
+ ye = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
+ gcopy( y.length, y, 1, ye, 1 );
+
+ grot( -1, x, 1, y, 1, 0.8, 0.6 );
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ grot( 0, x, 1, y, 1, 0.8, 0.6 );
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided an `N` parameter less than or equal to `0`, the function leaves both input arrays unchanged (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+
+ xe = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
+ gcopy( x.length, x, 1, xe, 1 );
+
+ ye = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
+ gcopy( y.length, y, 1, ye, 1 );
+
+ grot( -1, toAccessorArray( x ), 1, toAccessorArray( y ), 1, 0.8, 0.6 );
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ grot( 0, toAccessorArray( x ), 1, toAccessorArray( y ), 1, 0.8, 0.6 );
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports negative strides', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 0.6, // 3
+ 0.1,
+ -0.5, // 2
+ 0.8,
+ 0.9, // 1
+ -0.3,
+ -0.4 // 0
+ ];
+ y = [
+ 0.5, // 0
+ -0.9, // 1
+ 0.3, // 2
+ 0.7, // 3
+ -0.6,
+ 0.2,
+ 0.8
+ ];
+
+ grot( 4, x, -2, y, 1, 0.8, 0.6 );
+
+ xe = [ 0.9, 0.1, -0.22, 0.8, 0.18, -0.3, -0.02 ];
+ ye = [ 0.64, -1.26, 0.54, 0.2, -0.6, 0.2, 0.8 ];
+
+ isApprox( t, x, xe, 20.0 );
+ isApprox( t, y, ye, 20.0 );
+
+ t.end();
+});
+
+tape( 'the function supports negative strides (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 0.6, // 3
+ 0.1,
+ -0.5, // 2
+ 0.8,
+ 0.9, // 1
+ -0.3,
+ -0.4 // 0
+ ];
+ y = [
+ 0.5, // 0
+ -0.9, // 1
+ 0.3, // 2
+ 0.7, // 3
+ -0.6,
+ 0.2,
+ 0.8
+ ];
+
+ grot( 4, toAccessorArray( x ), -2, toAccessorArray( y ), 1, 0.8, 0.6 );
+
+ xe = [ 0.9, 0.1, -0.22, 0.8, 0.18, -0.3, -0.02 ];
+ ye = [ 0.64, -1.26, 0.54, 0.2, -0.6, 0.2, 0.8 ];
+
+ isApprox( t, x, xe, 20.0 );
+ isApprox( t, y, ye, 20.0 );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 0.6, // 1
+ 0.1, // 0
+ -0.5,
+ 0.8,
+ 0.9,
+ -0.3,
+ -0.4
+ ];
+ y = [
+ 0.5, // 1
+ -0.9,
+ 0.3, // 0
+ 0.7,
+ -0.6,
+ 0.2,
+ 0.8
+ ];
+
+ grot( 2, x, -1, y, -2, 0.8, 0.6 );
+
+ xe = [ 0.78, 0.26, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ye = [ 0.04, -0.9, 0.18, 0.7, -0.6, 0.2, 0.8 ];
+
+ isApprox( t, x, xe, 5.0 );
+ isApprox( t, y, ye, 5.0 );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 0.6, // 1
+ 0.1, // 0
+ -0.5,
+ 0.8,
+ 0.9,
+ -0.3,
+ -0.4
+ ];
+ y = [
+ 0.5, // 1
+ -0.9,
+ 0.3, // 0
+ 0.7,
+ -0.6,
+ 0.2,
+ 0.8
+ ];
+
+ grot( 2, toAccessorArray( x ), -1, toAccessorArray( y ), -2, 0.8, 0.6 );
+
+ xe = [ 0.78, 0.26, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ye = [ 0.04, -0.9, 0.18, 0.7, -0.6, 0.2, 0.8 ];
+
+ isApprox( t, x, xe, 5.0 );
+ isApprox( t, y, ye, 5.0 );
+
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/blas/base/grot/test/test.ndarray.js b/lib/node_modules/@stdlib/blas/base/grot/test/test.ndarray.js
new file mode 100644
index 000000000000..fa4ecd712d8b
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/grot/test/test.ndarray.js
@@ -0,0 +1,917 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 toAccessorArray = require( '@stdlib/array/base/to-accessor-array' );
+var gcopy = require( '@stdlib/blas/base/gcopy' ).ndarray;
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var grot = 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 grot, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 9', function test( t ) {
+ t.strictEqual( grot.length, 9, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=1, sy=1)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var xe;
+ var ye;
+ var ox;
+ var oy;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ ox = [ 0, 0, 0, 0 ];
+ oy = [ 0, 0, 0, 0 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, -0.46, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, -0.46, -0.22, 1.06, 0.9, -0.3, -0.4 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.78, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.78, 0.54, 0.08, -0.6, 0.2, 0.8 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ out = grot( N[ i ], x, 1, ox[ i ], y, 1, oy[ i ], 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 6.0 );
+ isApprox( t, y, ye[ i ], 6.0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=1, sy=1) (accessors)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var yob;
+ var xe;
+ var ye;
+ var ox;
+ var oy;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ ox = [ 0, 0, 0, 0 ];
+ oy = [ 0, 0, 0, 0 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, -0.46, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, -0.46, -0.22, 1.06, 0.9, -0.3, -0.4 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.78, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.78, 0.54, 0.08, -0.6, 0.2, 0.8 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ yob = toAccessorArray( y );
+ out = grot( N[ i ], toAccessorArray( x ), 1, ox[ i ], yob, 1, oy[ i ], 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 6.0 );
+ isApprox( t, y, ye[ i ], 6.0 );
+ t.strictEqual( out, yob, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=2, sy=-2)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var xe;
+ var ye;
+ var ox;
+ var oy;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ ox = [ 0, 0, 0, 0 ];
+ oy = [ 0, 0, 2, 6 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.66, 0.1, -0.1, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.96, 0.1, -0.76, 0.8, 0.9, -0.3, -0.02 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.7, -0.9, -0.12, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.64, -0.9, -0.3, 0.7, -0.18, 0.2, 0.28 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ out = grot( N[ i ], x, 2, ox[ i ], y, -2, oy[ i ], 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 20.0 );
+ isApprox( t, y, ye[ i ], 20.0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=2, sy=-2) (accessors)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var yob;
+ var xe;
+ var ye;
+ var ox;
+ var oy;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ ox = [ 0, 0, 0, 0 ];
+ oy = [ 0, 0, 2, 6 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.66, 0.1, -0.1, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.96, 0.1, -0.76, 0.8, 0.9, -0.3, -0.02 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.7, -0.9, -0.12, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.64, -0.9, -0.3, 0.7, -0.18, 0.2, 0.28 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ yob = toAccessorArray( y );
+ out = grot( N[ i ], toAccessorArray( x ), 2, ox[ i ], yob, -2, oy[ i ], 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 20.0 );
+ isApprox( t, y, ye[ i ], 20.0 );
+ t.strictEqual( out, yob, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=-2, sy=1)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var xe;
+ var ye;
+ var ox;
+ var oy;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ ox = [ 0, 0, 2, 6 ];
+ oy = [ 0, 0, 0, 0 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ -0.06, 0.1, -0.1, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.9, 0.1, -0.22, 0.8, 0.18, -0.3, -0.02 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.7, -1.08, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.64, -1.26, 0.54, 0.2, -0.6, 0.2, 0.8 ]
+ ];
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ out = grot( N[ i ], x, -2, ox[ i ], y, 1, oy[ i ], 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 20.0 );
+ isApprox( t, y, ye[ i ], 20.0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=-2, sy=1) (accessors)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var yob;
+ var xe;
+ var ye;
+ var ox;
+ var oy;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ ox = [ 0, 0, 2, 6 ];
+ oy = [ 0, 0, 0, 0 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ -0.06, 0.1, -0.1, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.9, 0.1, -0.22, 0.8, 0.18, -0.3, -0.02 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.7, -1.08, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.64, -1.26, 0.54, 0.2, -0.6, 0.2, 0.8 ]
+ ];
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ yob = toAccessorArray( y );
+ out = grot( N[ i ], toAccessorArray( x ), -2, ox[ i ], yob, 1, oy[ i ], 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 20.0 );
+ isApprox( t, y, ye[ i ], 20.0 );
+ t.strictEqual( out, yob, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=-1, sy=-2)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var xe;
+ var ye;
+ var ox;
+ var oy;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ ox = [ 0, 0, 1, 3 ];
+ oy = [ 0, 0, 2, 6 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.26, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.26, -0.76, 1.12, 0.9, -0.3, -0.4 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.18, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.18, 0.7, -0.18, 0.2, 0.16 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ out = grot( N[ i ], x, -1, ox[ i ], y, -2, oy[ i ], 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 4.0 );
+ isApprox( t, y, ye[ i ], 4.0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function applies a plane rotation (sx=-1, sy=-2) (accessors)', function test( t ) {
+ var xbuf;
+ var ybuf;
+ var out;
+ var yob;
+ var xe;
+ var ye;
+ var ox;
+ var oy;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ N = [ 0, 1, 2, 4 ];
+
+ xbuf = [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ybuf = [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ];
+
+ ox = [ 0, 0, 1, 3 ];
+ oy = [ 0, 0, 2, 6 ];
+
+ xe = [
+ [ 0.6, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.1, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.26, -0.5, 0.8, 0.9, -0.3, -0.4 ],
+ [ 0.78, 0.26, -0.76, 1.12, 0.9, -0.3, -0.4 ]
+ ];
+ ye = [
+ [ 0.5, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.3, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.18, 0.7, -0.6, 0.2, 0.8 ],
+ [ 0.04, -0.9, 0.18, 0.7, -0.18, 0.2, 0.16 ]
+ ];
+
+ for ( i = 0; i < N.length; i++ ) {
+ x = xbuf.slice();
+ y = ybuf.slice();
+ yob = toAccessorArray( y );
+ out = grot( N[ i ], toAccessorArray( x ), -1, ox[ i ], yob, -2, oy[ i ], 0.8, 0.6 );
+ isApprox( t, x, xe[ i ], 4.0 );
+ isApprox( t, y, ye[ i ], 4.0 );
+ t.strictEqual( out, yob, 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function supports an `x` stride', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0,
+ 3.0, // 1
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 6.0, // 0
+ 7.0, // 1
+ 8.0,
+ 9.0,
+ 10.0
+ ];
+
+ grot( 2, x, 2, 0, y, 1, 0, 0.8, 0.6 );
+
+ xe = [ 4.4, 2.0, 6.6, 4.0, 5.0 ];
+ ye = [ 4.2, 3.8, 8.0, 9.0, 10.0 ];
+
+ isApprox( t, x, xe, 2.0 );
+ isApprox( t, y, ye, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function supports an `x` stride (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0,
+ 3.0, // 1
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 6.0, // 0
+ 7.0, // 1
+ 8.0,
+ 9.0,
+ 10.0
+ ];
+
+ grot( 2, toAccessorArray( x ), 2, 0, toAccessorArray( y ), 1, 0, 0.8, 0.6 );
+
+ xe = [ 4.4, 2.0, 6.6, 4.0, 5.0 ];
+ ye = [ 4.2, 3.8, 8.0, 9.0, 10.0 ];
+
+ isApprox( t, x, xe, 2.0 );
+ isApprox( t, y, ye, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function supports an `x` offset', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0,
+ 2.0, // 0
+ 3.0, // 1
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 6.0, // 0
+ 7.0, // 1
+ 8.0,
+ 9.0,
+ 10.0
+ ];
+
+ grot( 2, x, 1, 1, y, 1, 0, 0.8, 0.6 );
+
+ xe = [ 1.0, 5.2, 6.6, 4.0, 5.0 ];
+ ye = [ 3.6, 3.8, 8.0, 9.0, 10.0 ];
+
+ isApprox( t, x, xe, 2.0 );
+ isApprox( t, y, ye, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function supports an `x` offset (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0,
+ 2.0, // 0
+ 3.0, // 1
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 6.0, // 0
+ 7.0, // 1
+ 8.0,
+ 9.0,
+ 10.0
+ ];
+
+ grot( 2, toAccessorArray( x ), 1, 1, toAccessorArray( y ), 1, 0, 0.8, 0.6 );
+
+ xe = [ 1.0, 5.2, 6.6, 4.0, 5.0 ];
+ ye = [ 3.6, 3.8, 8.0, 9.0, 10.0 ];
+
+ isApprox( t, x, xe, 2.0 );
+ isApprox( t, y, ye, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function supports a `y` stride', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0, // 1
+ 3.0, // 2
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 1.0, // 0
+ 2.0,
+ 3.0, // 1
+ 4.0,
+ 5.0 // 2
+ ];
+
+ grot( 3, x, 1, 0, y, 2, 0, 0.0, -1.0 );
+
+ xe = [ -1.0, -3.0, -5.0, 4.0, 5.0 ];
+ ye = [ 1.0, 2.0, 2.0, 4.0, 3.0 ];
+
+ isApprox( t, x, xe, 1.0 );
+ isApprox( t, y, ye, 1.0 );
+
+ t.end();
+});
+
+tape( 'the function supports a `y` stride (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0, // 1
+ 3.0, // 2
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 1.0, // 0
+ 2.0,
+ 3.0, // 1
+ 4.0,
+ 5.0 // 2
+ ];
+
+ grot( 3, toAccessorArray( x ), 1, 0, toAccessorArray( y ), 2, 0, 0.0, -1.0 );
+
+ xe = [ -1.0, -3.0, -5.0, 4.0, 5.0 ];
+ ye = [ 1.0, 2.0, 2.0, 4.0, 3.0 ];
+
+ isApprox( t, x, xe, 1.0 );
+ isApprox( t, y, ye, 1.0 );
+
+ t.end();
+});
+
+tape( 'the function supports a `y` offset', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0, // 1
+ 3.0,
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 6.0,
+ 7.0,
+ 8.0, // 0
+ 9.0, // 1
+ 10.0
+ ];
+
+ grot( 2, x, 1, 0, y, 1, 2, 0.8, 0.6 );
+
+ xe = [ 5.6, 7.0, 3.0, 4.0, 5.0 ];
+ ye = [ 6.0, 7.0, 5.8, 6.0, 10.0 ];
+
+ isApprox( t, x, xe, 1.0 );
+ isApprox( t, y, ye, 1.0 );
+
+ t.end();
+});
+
+tape( 'the function supports a `y` offset (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 1.0, // 0
+ 2.0, // 1
+ 3.0,
+ 4.0,
+ 5.0
+ ];
+ y = [
+ 6.0,
+ 7.0,
+ 8.0, // 0
+ 9.0, // 1
+ 10.0
+ ];
+
+ grot( 2, toAccessorArray( x ), 1, 0, toAccessorArray( y ), 1, 2, 0.8, 0.6 );
+
+ xe = [ 5.6, 7.0, 3.0, 4.0, 5.0 ];
+ ye = [ 6.0, 7.0, 5.8, 6.0, 10.0 ];
+
+ isApprox( t, x, xe, 1.0 );
+ isApprox( t, y, ye, 1.0 );
+
+ t.end();
+});
+
+tape( 'the function returns a reference to the second input array', function test( t ) {
+ var out;
+ var x;
+ var y;
+
+ x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+
+ out = grot( x.length, x, 1, 0, y, 1, 0, 1, 0 );
+
+ t.strictEqual( out, y, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns a reference to the second input array', function test( t ) {
+ var out;
+ var x;
+ var y;
+
+ x = toAccessorArray( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
+ y = toAccessorArray( [ 6.0, 7.0, 8.0, 9.0, 10.0 ] );
+
+ out = grot( x.length, x, 1, 0, y, 1, 0, 1, 0 );
+
+ t.strictEqual( out, y, 'returns expected value' );
+ t.end();
+});
+
+tape( 'if provided an `N` parameter less than or equal to `0`, the function leaves both input arrays unchanged', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+
+ xe = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
+ gcopy( x.length, x, 1, 0, xe, 1, 0 );
+
+ ye = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
+ gcopy( y.length, y, 1, 0, ye, 1, 0 );
+
+ grot( -1, x, 1, 0, y, 1, 0, 0.8, 0.6 );
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ grot( 0, x, 1, 0, y, 1, 0, 0.8, 0.6 );
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided an `N` parameter less than or equal to `0`, the function leaves both input arrays unchanged (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
+ y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];
+
+ xe = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
+ gcopy( x.length, x, 1, 0, xe, 1, 0 );
+
+ ye = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
+ gcopy( y.length, y, 1, 0, ye, 1, 0 );
+
+ grot( -1, toAccessorArray( x ), 1, 0, toAccessorArray( y ), 1, 0, 0.8, 0.6 );
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ grot( 0, toAccessorArray( x ), 1, 0, toAccessorArray( y ), 1, 0, 0.8, 0.6 );
+ t.deepEqual( x, xe, 'returns expected value' );
+ t.deepEqual( y, ye, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports negative strides', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 0.6, // 3
+ 0.1,
+ -0.5, // 2
+ 0.8,
+ 0.9, // 1
+ -0.3,
+ -0.4 // 0
+ ];
+ y = [
+ 0.5, // 0
+ -0.9, // 1
+ 0.3, // 2
+ 0.7, // 3
+ -0.6,
+ 0.2,
+ 0.8
+ ];
+
+ grot( 4, x, -2, 6, y, 1, 0, 0.8, 0.6 );
+
+ xe = [ 0.9, 0.1, -0.22, 0.8, 0.18, -0.3, -0.02 ];
+ ye = [ 0.64, -1.26, 0.54, 0.2, -0.6, 0.2, 0.8 ];
+
+ isApprox( t, x, xe, 20.0 );
+ isApprox( t, y, ye, 20.0 );
+
+ t.end();
+});
+
+tape( 'the function supports negative strides (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 0.6, // 3
+ 0.1,
+ -0.5, // 2
+ 0.8,
+ 0.9, // 1
+ -0.3,
+ -0.4 // 0
+ ];
+ y = [
+ 0.5, // 0
+ -0.9, // 1
+ 0.3, // 2
+ 0.7, // 3
+ -0.6,
+ 0.2,
+ 0.8
+ ];
+
+ grot( 4, toAccessorArray( x ), -2, 6, toAccessorArray( y ), 1, 0, 0.8, 0.6 );
+
+ xe = [ 0.9, 0.1, -0.22, 0.8, 0.18, -0.3, -0.02 ];
+ ye = [ 0.64, -1.26, 0.54, 0.2, -0.6, 0.2, 0.8 ];
+
+ isApprox( t, x, xe, 20.0 );
+ isApprox( t, y, ye, 20.0 );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 0.6, // 1
+ 0.1, // 0
+ -0.5,
+ 0.8,
+ 0.9,
+ -0.3,
+ -0.4
+ ];
+ y = [
+ 0.5, // 1
+ -0.9,
+ 0.3, // 0
+ 0.7,
+ -0.6,
+ 0.2,
+ 0.8
+ ];
+
+ grot( 2, x, -1, 1, y, -2, 2, 0.8, 0.6 );
+
+ xe = [ 0.78, 0.26, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ye = [ 0.04, -0.9, 0.18, 0.7, -0.6, 0.2, 0.8 ];
+
+ isApprox( t, x, xe, 5.0 );
+ isApprox( t, y, ye, 5.0 );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns (accessors)', function test( t ) {
+ var xe;
+ var ye;
+ var x;
+ var y;
+
+ x = [
+ 0.6, // 1
+ 0.1, // 0
+ -0.5,
+ 0.8,
+ 0.9,
+ -0.3,
+ -0.4
+ ];
+ y = [
+ 0.5, // 1
+ -0.9,
+ 0.3, // 0
+ 0.7,
+ -0.6,
+ 0.2,
+ 0.8
+ ];
+
+ grot( 2, toAccessorArray( x ), -1, 1, toAccessorArray( y ), -2, 2, 0.8, 0.6 );
+
+ xe = [ 0.78, 0.26, -0.5, 0.8, 0.9, -0.3, -0.4 ];
+ ye = [ 0.04, -0.9, 0.18, 0.7, -0.6, 0.2, 0.8 ];
+
+ isApprox( t, x, xe, 5.0 );
+ isApprox( t, y, ye, 5.0 );
+
+ t.end();
+});