diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/README.md b/lib/node_modules/@stdlib/blas/base/gspmv/README.md
new file mode 100644
index 000000000000..40c703fd8620
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/README.md
@@ -0,0 +1,189 @@
+
+
+# gspmv
+
+> Perform the matrix-vector operation `y = α*A*x + β*y` where `α` and `β` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.
+
+
+
+## Usage
+
+```javascript
+var gspmv = require( '@stdlib/blas/base/gspmv' );
+```
+
+#### gspmv( order, uplo, N, α, AP, x, sx, β, y, sy )
+
+Performs the matrix-vector operation `y = α*A*x + β*y` where `α` and `β` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form `AP`.
+
+```javascript
+var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+var x = [ 1.0, 1.0, 1.0 ];
+var y = [ 1.0, 1.0, 1.0 ];
+
+gspmv( 'column-major', 'lower', 3, 1.0, AP, x, 1, 1.0, y, 1 );
+// y => [ 7.0, 12.0, 15.0 ]
+```
+
+The function has the following parameters:
+
+- **order**: storage layout.
+- **uplo**: specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied.
+- **N**: number of elements along each dimension of `A`.
+- **α**: scalar constant.
+- **AP**: packed form of a symmetric matrix `A`.
+- **x**: input vector.
+- **sx**: index increment for `x`.
+- **β**: scalar constant.
+- **y**: output vector.
+- **sy**: index increment for `y`.
+
+The stride parameters determine how elements in the input arrays are accessed at runtime. For example, to iterate over the elements of `y` in reverse order,
+
+```javascript
+var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+var x = [ 1.0, 1.0, 1.0 ];
+var y = [ 1.0, 1.0, 1.0 ];
+
+gspmv( 'column-major', 'lower', 3, 1.0, AP, x, 1, 1.0, y, -1 );
+// y => [ 15.0, 12.0, 7.0 ]
+```
+
+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( [ 0.0, 1.0, 1.0 ] );
+var y0 = new Float64Array( [ 0.0, 1.0, 1.0 ] );
+var AP = new Float64Array( [ 1.0, 2.0, 3.0 ] );
+
+// 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*1 ); // start at 2nd element
+
+gspmv( 'row-major', 'upper', 2, 1.0, AP, x1, -1, 1.0, y1, -1 );
+// y0 => [ 0.0, 6.0, 4.0 ]
+```
+
+#### gspmv.ndarray( order, uplo, N, α, AP, oa, x, sx, ox, β, y, sy, oy )
+
+Performs the matrix-vector operation `y = α*A*x + β*y`, using alternative indexing semantics and where `α` and `β` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form `AP`.
+
+```javascript
+var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+var x = [ 1.0, 1.0, 1.0 ];
+var y = [ 1.0, 1.0, 1.0 ];
+
+gspmv.ndarray( 'column-major', 'lower', 3, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+// y => [ 7.0, 12.0, 15.0 ]
+```
+
+The function has the following additional parameters:
+
+- **oa**: starting index for `AP`.
+- **ox**: starting index for `x`.
+- **oy**: 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,
+
+```javascript
+var AP = [ 0.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+var x = [ 1.0, 1.0, 1.0 ];
+var y = [ 1.0, 1.0, 1.0 ];
+
+gspmv.ndarray( 'column-major', 'lower', 3, 1.0, AP, 2, x, 1, 0, 1.0, y, -1, 2 );
+// y => [ 15.0, 12.0, 7.0 ]
+```
+
+
+
+
+
+
+
+## Notes
+
+- `gspmv()` corresponds to the [BLAS][blas] level 2 function [`dspmv`][dspmv] with the exception that this implementation works with any array type, not just Float64Arrays. Depending on the environment, typed versions such as [`dspmv`][@stdlib/blas/base/dspmv] and [`sspmv`][@stdlib/blas/base/sspmv] 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 gspmv = require( '@stdlib/blas/base/gspmv' );
+
+var opts = {
+ 'dtype': 'generic'
+};
+
+var N = 3;
+
+var AP = discreteUniform( N * ( N + 1 ) / 2, -10, 10, opts );
+var x = discreteUniform( N, -10, 10, opts );
+var y = discreteUniform( N, -10, 10, opts );
+
+gspmv.ndarray( 'row-major', 'upper', N, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+console.log( y );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[blas]: http://www.netlib.org/blas
+
+[dspmv]: https://www.netlib.org/lapack/explore-html/d0/d4b/group__hpmv_ga739f8dc2316523832bde2b237fcad8a6.html#ga739f8dc2316523832bde2b237fcad8a6
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+[@stdlib/array/base/accessor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/base/accessor
+
+[@stdlib/blas/base/dspmv]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/dspmv
+
+[@stdlib/blas/base/sspmv]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/sspmv
+
+
+
+
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/base/gspmv/benchmark/benchmark.js
new file mode 100644
index 000000000000..ca728c798385
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/benchmark/benchmark.js
@@ -0,0 +1,106 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pkg = require( './../package.json' ).name;
+var gspmv = require( './../lib' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'generic'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var AP = uniform( len * ( len + 1 ) / 2, -10.0, 10.0, options );
+ var x = uniform( len, -10.0, 10.0, options );
+ var y = uniform( len, -10.0, 10.0, 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 = gspmv( 'row-major', 'upper', len, 1.0, AP, x, 1, 1.0, y, 1 );
+ if ( isnan( z[ i%z.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( z[ i%z.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 = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+ f = createBenchmark( len );
+ bench( format( '%s:size=%d', pkg, len * ( len + 1 ) / 2 ), f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/blas/base/gspmv/benchmark/benchmark.ndarray.js
new file mode 100644
index 000000000000..eae6783f205e
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/benchmark/benchmark.ndarray.js
@@ -0,0 +1,106 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var format = require( '@stdlib/string/format' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pkg = require( './../package.json' ).name;
+var gspmv = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'generic'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var AP = uniform( len * ( len + 1 ) / 2, -10.0, 10.0, options );
+ var x = uniform( len, -10.0, 10.0, options );
+ var y = uniform( len, -10.0, 10.0, 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 = gspmv( 'row-major', 'upper', len, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+ if ( isnan( z[ i%z.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( z[ i%z.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 = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+ f = createBenchmark( len );
+ bench( format( '%s:ndarray:size=%d', pkg, len * ( len + 1 ) / 2 ), f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/docs/repl.txt b/lib/node_modules/@stdlib/blas/base/gspmv/docs/repl.txt
new file mode 100644
index 000000000000..6f05bf5664dd
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/docs/repl.txt
@@ -0,0 +1,147 @@
+
+{{alias}}( ord, uplo, N, α, AP, x, sx, β, y, sy )
+ Performs the matrix-vector operation `y = α*A*x + β*y` where `α` and `β` are
+ scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N`
+ symmetric matrix supplied in packed form.
+
+ Indexing is relative to the first index. To introduce an offset, use typed
+ array views.
+
+ If `N` is equal to `0`, the function returns `y` unchanged.
+
+ If `α` equals `0` and `β` equals `1`, the function returns `y` unchanged.
+
+ Parameters
+ ----------
+ ord: string
+ Row-major (C-style) or column-major (Fortran-style) order. Must be
+ either 'row-major' or 'column-major'.
+
+ uplo: string
+ Specifies whether the upper or lower triangular matrix of `A` is
+ supplied. Must be either 'upper' or 'lower'.
+
+ N: integer
+ Number of elements along each dimension of `A`.
+
+ α: number
+ Scalar constant.
+
+ AP: Array|TypedArray
+ Matrix in packed form.
+
+ x: Array|TypedArray
+ Input vector `x`.
+
+ sx: integer
+ Index increment for `x`.
+
+ β: number
+ Scalar constant.
+
+ y: Array|TypedArray
+ Input/output vector `y`.
+
+ sy: integer
+ Index increment for `y`.
+
+ Returns
+ -------
+ y: Array|TypedArray
+ Output vector `y`.
+
+ Examples
+ --------
+ // Standard usage:
+ > var x = [ 1.0, 1.0 ];
+ > var y = [ 1.0, 1.0 ];
+ > var AP = [ 1.0, 2.0, 3.0, 4.0 ];
+ > {{alias}}( 'row-major', 'upper', 2, 1.0, AP, x, 1, 1.0, y, 1 )
+ [ 4.0, 6.0 ]
+
+ // Advanced indexing:
+ > x = [ 1.0, 1.0 ];
+ > y = [ 1.0, 1.0 ];
+ > AP = [ 1.0, 2.0, 3.0, 4.0 ];
+ > {{alias}}( 'row-major', 'upper', 2, 1.0, AP, x, -1, 1.0, y, -1 )
+ [ 6.0, 4.0 ]
+
+
+{{alias}}.ndarray( ord, uplo, N, α, AP, oa, x, sx, ox, β, y, sy, oy )
+ Performs the matrix-vector operation `y = α*A*x + β*y` using alternative
+ indexing semantics and where `α` and `β` are scalars, `x` and `y` are `N`
+ element vectors, and `A` is an `N` by `N` symmetric matrix supplied in
+ packed form.
+
+ While typed array views mandate a view offset based on the underlying
+ buffer, the offset parameters support indexing semantics based on starting
+ indices.
+
+ Parameters
+ ----------
+ ord: string
+ Row-major (C-style) or column-major (Fortran-style) order. Must be
+ either 'row-major' or 'column-major'.
+
+ uplo: string
+ Specifies whether the upper or lower triangular matrix of `A` is
+ supplied. Must be either 'upper' or 'lower'.
+
+ N: integer
+ Number of elements along each dimension of `A`.
+
+ α: number
+ Scalar constant.
+
+ AP: Array|TypedArray
+ Matrix in packed form.
+
+ oa: integer
+ Starting index for `AP`.
+
+ x: Array|TypedArray
+ Input vector `x`.
+
+ sx: integer
+ Index increment for `x`.
+
+ ox: integer
+ Starting index for `x`.
+
+ β: number
+ Scalar constant.
+
+ y: Array|TypedArray
+ Input/output vector `y`.
+
+ sy: integer
+ Index increment for `y`.
+
+ oy: integer
+ Starting index for `y`.
+
+ Returns
+ -------
+ y: Array|TypedArray
+ Output vector `y`.
+
+ Examples
+ --------
+ // Standard usage:
+ > var x = [ 1.0, 1.0 ];
+ > var y = [ 1.0, 1.0 ];
+ > var AP = [ 1.0, 2.0, 3.0, 4.0 ];
+ > var ord = 'row-major';
+ > var uplo = 'upper';
+ > {{alias}}.ndarray( ord, uplo, 2, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 )
+ [ 4.0, 6.0 ]
+
+ // Advanced indexing:
+ > x = [ 1.0, 1.0 ];
+ > y = [ 1.0, 1.0 ];
+ > AP = [ 1.0, 2.0, 3.0, 4.0 ];
+ > {{alias}}.ndarray( ord, uplo, 2, 1.0, AP, 0, x, -1, 1, 1.0, y, -1, 1 )
+ [ 6.0, 4.0 ]
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/base/gspmv/docs/types/index.d.ts
new file mode 100644
index 000000000000..c04419065562
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/docs/types/index.d.ts
@@ -0,0 +1,125 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+///
+
+import { NumericArray, Collection, AccessorArrayLike } from '@stdlib/types/array';
+import { Layout, MatrixTriangle } from '@stdlib/types/blas';
+
+/**
+* Input array.
+*/
+type InputArray = NumericArray | Collection | AccessorArrayLike;
+
+/**
+* Interface describing `gspmv`.
+*/
+interface Routine {
+ /**
+ * Performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.
+ *
+ * @param order - storage layout
+ * @param uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is being supplied
+ * @param N - number of elements along each dimension of `A`
+ * @param alpha - scalar constant
+ * @param AP - packed form of a symmetric matrix `A`
+ * @param x - first input vector
+ * @param strideX - `x` stride length
+ * @param beta - scalar constant
+ * @param y - second input vector
+ * @param strideY - `y` stride length
+ * @returns `y`
+ *
+ * @example
+ * var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+ * var x = [ 1.0, 1.0, 1.0 ];
+ * var y = [ 1.0, 1.0, 1.0 ];
+ *
+ * gspmv( 'column-major', 'lower', 3, 1.0, AP, x, 1, 1.0, y, 1 );
+ * // y => [ 7.0, 12.0, 15.0 ]
+ */
+ ( order: Layout, uplo: MatrixTriangle, N: number, alpha: number, AP: InputArray, x: InputArray, strideX: number, beta: number, y: T, strideY: number ): T;
+
+ /**
+ * Performs the matrix-vector operation `y = alpha*A*x + beta*y`, using alternative indexing semantics and where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.
+ *
+ * @param order - storage layout
+ * @param uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is being supplied
+ * @param N - number of elements along each dimension of `A`
+ * @param alpha - scalar constant
+ * @param AP - packed form of a symmetric matrix `A`
+ * @param offsetAP - starting index for `AP`
+ * @param x - first input vector
+ * @param strideX - `x` stride length
+ * @param offsetX - starting index for `x`
+ * @param beta - scalar constant
+ * @param y - second input vector
+ * @param strideY - `y` stride length
+ * @param offsetY - starting index for `y`
+ * @returns `y`
+ *
+ * @example
+ * var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+ * var x = [ 1.0, 1.0, 1.0 ];
+ * var y = [ 1.0, 1.0, 1.0 ];
+ *
+ * gspmv.ndarray( 'column-major', 'lower', 3, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+ * // y => [ 7.0, 12.0, 15.0 ]
+ */
+ ndarray( order: Layout, uplo: MatrixTriangle, N: number, alpha: number, AP: InputArray, offsetAP: number, x: InputArray, strideX: number, offsetX: number, beta: number, y: T, strideY: number, offsetY: number ): T;
+}
+
+/**
+* Performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.
+*
+* @param order - storage layout
+* @param uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is being supplied
+* @param N - number of elements along each dimension of `A`
+* @param alpha - scalar constant
+* @param AP - packed form of a symmetric matrix `A`
+* @param x - first input vector
+* @param strideX - `x` stride length
+* @param beta - scalar constant
+* @param y - second input vector
+* @param strideY - `y` stride length
+* @returns `y`
+*
+* @example
+* var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+* var x = [ 1.0, 1.0, 1.0 ];
+* var y = [ 1.0, 1.0, 1.0 ];
+*
+* gspmv( 'column-major', 'lower', 3, 1.0, AP, x, 1, 1.0, y, 1 );
+* // y => [ 7.0, 12.0, 15.0 ]
+*
+* @example
+* var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+* var x = [ 1.0, 1.0, 1.0 ];
+* var y = [ 1.0, 1.0, 1.0 ];
+*
+* gspmv.ndarray( 'column-major', 'lower', 3, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+* // y => [ 7.0, 12.0, 15.0 ]
+*/
+declare var gspmv: Routine;
+
+
+// EXPORTS //
+
+export = gspmv;
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/docs/types/test.ts b/lib/node_modules/@stdlib/blas/base/gspmv/docs/types/test.ts
new file mode 100644
index 000000000000..0f23f8d4811b
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/docs/types/test.ts
@@ -0,0 +1,443 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import gspmv = require( './index' );
+
+
+// TESTS //
+
+// The function returns an array...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a string...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 10, 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( true, 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( false, 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( null, 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( void 0, 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( [], 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( {}, 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( ( x: number ): number => x, 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a string...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 10, 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', true, 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', false, 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', null, 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', void 0, 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', [ '1' ], 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', {}, 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', ( x: number ): number => x, 10, 1.0, AP, x, 1, 1.0, y, 1 ); // $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 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 'upper', '10', 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', true, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', false, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', null, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', void 0, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', [], 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', {}, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', ( x: number ): number => x, 1.0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 'upper', 10, '10', AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, true, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, false, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, null, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, void 0, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, [], AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, {}, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, ( x: number ): number => x, AP, x, 1, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not an array...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ gspmv( 'row-major', 'upper', 10, 1.0, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, '10', x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, true, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, false, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, null, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, void 0, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, {}, x, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, ( x: number ): number => x, x, 1, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not an array...
+{
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, 10, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, '10', 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, true, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, false, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, null, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, void 0, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, {}, 1, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, ( x: number ): number => x, 1, 1.0, y, 1 ); // $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 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, '10', 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, true, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, false, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, null, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, void 0, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, [], 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, {}, 1.0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, ( x: number ): number => x, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eighth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, '10', y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, true, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, false, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, null, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, void 0, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, [], y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, {}, y, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, ( x: number ): number => x, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a ninth argument which is not an array...
+{
+ const x = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, 10, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, '10', 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, true, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, false, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, null, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, void 0, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, {}, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, ( x: number ): number => x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a tenth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, '10' ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, true ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, false ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, null ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, void 0 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, [] ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, {} ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, ( 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 );
+ const AP = new Float64Array( 55 );
+
+ gspmv(); // $ExpectError
+ gspmv( 'row-major' ); // $ExpectError
+ gspmv( 'row-major', 'upper' ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0 ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y ); // $ExpectError
+ gspmv( 'row-major', 'upper', 10, 1.0, AP, x, 1, 1.0, y, 1, 10 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns an array...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectType Float64Array
+}
+
+// The compiler throws an error if the `ndarray` method is provided a first argument which is not a string...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 10, 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( true, 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( false, 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( null, 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( void 0, 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( [], 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( {}, 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( ( x: number ): number => x, 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a second argument which is not a string...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 10, 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', true, 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', false, 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', null, 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', void 0, 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', [ '1' ], 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', {}, 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', ( x: number ): number => x, 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 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 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', '10', 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', true, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', false, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', null, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', void 0, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', [], 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', {}, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', ( x: number ): number => x, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 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 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, '10', AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, true, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, false, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, null, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, void 0, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, [], AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, {}, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, ( x: number ): number => x, AP, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fifth argument which is not an array...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, 10, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, '10', 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, true, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, false, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, null, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, void 0, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, {}, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, ( x: number ): number => x, 0, x, 1, 0, 1.0, y, 1, 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 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, '10', x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, true, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, false, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, null, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, void 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, [], x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, {}, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, ( x: number ): number => x, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a seventh argument which is not an array...
+{
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, 10, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, '10', 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, true, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, false, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, null, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, void 0, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, {}, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, ( x: number ): number => x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eighth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, '10', 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, true, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, false, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, null, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, void 0, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, [], 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, {}, 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, ( x: number ): number => x, 0, 1.0, y, 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 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, '10', 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, true, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, false, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, null, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, void 0, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, [], 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, {}, 1.0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, ( x: number ): number => x, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a tenth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, '10', y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, true, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, false, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, null, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, void 0, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, [], y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, {}, y, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, ( x: number ): number => x, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eleventh argument which is not an array...
+{
+ const x = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, 10, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, '10', 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, true, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, false, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, null, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, void 0, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, {}, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a twelfth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, '10', 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, true, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, false, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, null, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, void 0, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, [], 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, {}, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a thirteenth argument which is not a number...
+{
+ const x = new Float64Array( 10 );
+ const y = new Float64Array( 10 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, '10' ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, true ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, false ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, null ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, void 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, [] ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, {} ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, ( 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 );
+ const AP = new Float64Array( 55 );
+
+ gspmv.ndarray(); // $ExpectError
+ gspmv.ndarray( 'row-major' ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper' ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1 ); // $ExpectError
+ gspmv.ndarray( 'row-major', 'upper', 10, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/examples/index.js b/lib/node_modules/@stdlib/blas/base/gspmv/examples/index.js
new file mode 100644
index 000000000000..06d192813814
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/examples/index.js
@@ -0,0 +1,37 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var gspmv = require( './../lib' );
+
+var opts = {
+ 'dtype': 'generic'
+};
+
+var N = 3;
+var AP = discreteUniform( N * ( N + 1 ) / 2, -10, 10, opts );
+var x = discreteUniform( N, -10, 10, opts );
+var y = discreteUniform( N, -10, 10, opts );
+
+gspmv( 'row-major', 'upper', N, 1.0, AP, x, 1, 1.0, y, 1 );
+console.log( y );
+
+gspmv.ndarray( 'row-major', 'upper', N, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+console.log( y );
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/lib/accessors.js b/lib/node_modules/@stdlib/blas/base/gspmv/lib/accessors.js
new file mode 100644
index 000000000000..4c2a9d64a6d0
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/lib/accessors.js
@@ -0,0 +1,153 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
+var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
+
+
+// MAIN //
+
+/**
+* Performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.
+*
+* @private
+* @param {string} order - storage layout
+* @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied
+* @param {NonNegativeInteger} N - number of elements along each dimension of `A`
+* @param {number} alpha - scalar constant
+* @param {Object} AP - packed matrix object
+* @param {Collection} AP.data - packed matrix data
+* @param {Array} AP.accessors - array element accessors
+* @param {NonNegativeInteger} offsetAP - starting index for `AP`
+* @param {Object} x - first input vector object
+* @param {Collection} x.data - first input vector data
+* @param {Array} x.accessors - array element accessors
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting index for `x`
+* @param {number} beta - scalar constant
+* @param {Object} y - second input vector object
+* @param {Collection} y.data - second input vector data
+* @param {Array} y.accessors - array element accessors
+* @param {integer} strideY - `y` stride length
+* @param {NonNegativeInteger} offsetY - starting index for `y`
+* @returns {Object} second input vector object
+*/
+function gspmv( order, uplo, N, alpha, AP, offsetAP, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-params, max-len
+ var APbuf;
+ var getAP;
+ var temp1;
+ var temp2;
+ var setY;
+ var getY;
+ var getX;
+ var xbuf;
+ var ybuf;
+ var ix;
+ var iy;
+ var jx;
+ var jy;
+ var kk;
+ var j;
+ var k;
+
+ // Cache references to array data:
+ xbuf = x.data;
+ ybuf = y.data;
+ APbuf = AP.data;
+
+ // Cache references to element accessors:
+ getX = x.accessors[ 0 ];
+ getY = y.accessors[ 0 ];
+ setY = y.accessors[ 1 ];
+ getAP = AP.accessors[ 0 ];
+
+ // Form: y = beta*y
+ if ( beta !== 1.0 ) {
+ iy = offsetY;
+ if ( beta === 0.0 ) {
+ for ( k = 0; k < N; k++ ) {
+ setY( ybuf, iy, 0.0 );
+ iy += strideY;
+ }
+ } else {
+ for ( k = 0; k < N; k++ ) {
+ setY( ybuf, iy, beta * getY( ybuf, iy ) );
+ iy += strideY;
+ }
+ }
+ }
+ if ( alpha === 0.0 ) {
+ return y;
+ }
+ // Form: y = alpha*A*x + y
+ kk = offsetAP;
+ if (
+ ( isRowMajor( order ) && uplo === 'upper' ) ||
+ ( isColumnMajor( order ) && uplo === 'lower' )
+ ) {
+ jx = offsetX;
+ jy = offsetY;
+ for ( j = 0; j < N; j++ ) {
+ temp1 = alpha * getX( xbuf, jx );
+ temp2 = 0.0;
+ setY( ybuf, jy, getY( ybuf, jy ) + ( temp1 * getAP( APbuf, kk ) ) );
+ ix = jx;
+ iy = jy;
+ for ( k = kk+1; k < kk+N-j; k++ ) {
+ ix += strideX;
+ iy += strideY;
+ setY( ybuf, iy, getY( ybuf, iy ) + ( temp1 * getAP( APbuf, k ) ) );
+ temp2 += getAP( APbuf, k ) * getX( xbuf, ix );
+ }
+ setY( ybuf, jy, getY( ybuf, jy ) + ( alpha * temp2 ) );
+ jx += strideX;
+ jy += strideY;
+ kk += N - j;
+ }
+ return y;
+ }
+ // ( isRowMajor( order ) && uplo === 'lower' ) || ( isColumnMajor( order ) && uplo === 'upper' )
+ jx = offsetX;
+ jy = offsetY;
+ for ( j = 0; j < N; j++ ) {
+ temp1 = alpha * getX( xbuf, jx );
+ temp2 = 0.0;
+ ix = offsetX;
+ iy = offsetY;
+ for ( k = kk; k < kk+j; k++ ) {
+ setY( ybuf, iy, getY( ybuf, iy ) + ( temp1 * getAP( APbuf, k ) ) );
+ temp2 += getAP( APbuf, k ) * getX( xbuf, ix );
+ ix += strideX;
+ iy += strideY;
+ }
+ setY( ybuf, jy, getY( ybuf, jy ) + ( temp1 * getAP( APbuf, kk+j ) ) + ( alpha * temp2 ) ); // eslint-disable-line max-len
+ jx += strideX;
+ jy += strideY;
+ kk += j + 1;
+ }
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = gspmv;
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/lib/base.js b/lib/node_modules/@stdlib/blas/base/gspmv/lib/base.js
new file mode 100644
index 000000000000..2299e3b062c1
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/lib/base.js
@@ -0,0 +1,147 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var arraylike2object = require( '@stdlib/array/base/arraylike2object' );
+var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
+var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
+var gscal = require( '@stdlib/blas/base/gscal' ).ndarray;
+var gfill = require( '@stdlib/blas/ext/base/gfill' ).ndarray;
+var accessors = require( './accessors.js' );
+
+
+// MAIN //
+
+/**
+* Performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.
+*
+* @private
+* @param {string} order - storage layout
+* @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied
+* @param {NonNegativeInteger} N - number of elements along each dimension of `A`
+* @param {number} alpha - scalar constant
+* @param {NumericArray} AP - packed form of a symmetric matrix `A`
+* @param {NonNegativeInteger} offsetAP - starting index for `AP`
+* @param {NumericArray} x - first input vector
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting index for `x`
+* @param {number} beta - scalar constant
+* @param {NumericArray} y - second input vector
+* @param {integer} strideY - `y` stride length
+* @param {NonNegativeInteger} offsetY - starting index for `y`
+* @returns {NumericArray} `y`
+*
+* @example
+* var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+* var x = [ 1.0, 1.0, 1.0 ];
+* var y = [ 1.0, 1.0, 1.0 ];
+*
+* gspmv( 'column-major', 'lower', 3, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+* // y => [ 7.0, 12.0, 15.0 ]
+*/
+function gspmv( order, uplo, N, alpha, AP, offsetAP, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-params, max-len
+ var temp1;
+ var temp2;
+ var apo;
+ var ix;
+ var iy;
+ var jx;
+ var jy;
+ var kk;
+ var xo;
+ var yo;
+ var j;
+ var k;
+
+ if ( N === 0 || ( alpha === 0.0 && beta === 1.0 ) ) {
+ return y;
+ }
+ xo = arraylike2object( x );
+ yo = arraylike2object( y );
+ apo = arraylike2object( AP );
+ if ( xo.accessorProtocol || yo.accessorProtocol || apo.accessorProtocol ) {
+ accessors( order, uplo, N, alpha, apo, offsetAP, xo, strideX, offsetX, beta, yo, strideY, offsetY ); // eslint-disable-line max-len
+ return y;
+ }
+ // Form: y = beta*y
+ if ( beta !== 1.0 ) {
+ if ( beta === 0.0 ) {
+ gfill( N, 0.0, y, strideY, offsetY );
+ } else {
+ gscal( N, beta, y, strideY, offsetY );
+ }
+ }
+ if ( alpha === 0.0 ) {
+ return y;
+ }
+ // Form: y = alpha*A*x + y
+ kk = offsetAP;
+ if (
+ ( isRowMajor( order ) && uplo === 'upper' ) ||
+ ( isColumnMajor( order ) && uplo === 'lower' )
+ ) {
+ jx = offsetX;
+ jy = offsetY;
+ for ( j = 0; j < N; j++ ) {
+ temp1 = alpha * x[ jx ];
+ temp2 = 0.0;
+ y[ jy ] += temp1 * AP[ kk ];
+ ix = jx;
+ iy = jy;
+ for ( k = kk+1; k < kk+N-j; k++ ) {
+ ix += strideX;
+ iy += strideY;
+ y[ iy ] += temp1 * AP[ k ];
+ temp2 += AP[ k ] * x[ ix ];
+ }
+ y[ jy ] += alpha * temp2;
+ jx += strideX;
+ jy += strideY;
+ kk += N - j;
+ }
+ return y;
+ }
+ // ( isRowMajor( order ) && uplo === 'lower' ) || ( isColumnMajor( order ) && uplo === 'upper' )
+ jx = offsetX;
+ jy = offsetY;
+ for ( j = 0; j < N; j++ ) {
+ temp1 = alpha * x[ jx ];
+ temp2 = 0.0;
+ ix = offsetX;
+ iy = offsetY;
+ for ( k = kk; k < kk+j; k++ ) {
+ y[ iy ] += temp1 * AP[ k ];
+ temp2 += AP[ k ] * x[ ix ];
+ ix += strideX;
+ iy += strideY;
+ }
+ y[ jy ] += ( temp1 * AP[ kk+j ] ) + ( alpha * temp2 );
+ jx += strideX;
+ jy += strideY;
+ kk += j + 1;
+ }
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = gspmv;
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/lib/index.js b/lib/node_modules/@stdlib/blas/base/gspmv/lib/index.js
new file mode 100644
index 000000000000..7de319313411
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/lib/index.js
@@ -0,0 +1,63 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* BLAS level 2 routine to perform the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.
+*
+* @module @stdlib/blas/base/gspmv
+*
+* @example
+* var gspmv = require( '@stdlib/blas/base/gspmv' );
+*
+* var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+* var x = [ 1.0, 1.0, 1.0 ];
+* var y = [ 1.0, 1.0, 1.0 ];
+*
+* gspmv( 'column-major', 'lower', 3, 1.0, AP, x, 1, 1.0, y, 1 );
+* // y => [ 7.0, 12.0, 15.0 ]
+*
+* @example
+* var gspmv = require( '@stdlib/blas/base/gspmv' );
+*
+* var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+* var x = [ 1.0, 1.0, 1.0 ];
+* var y = [ 1.0, 1.0, 1.0 ];
+*
+* gspmv.ndarray( 'column-major', 'lower', 3, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+* // y => [ 7.0, 12.0, 15.0 ]
+*/
+
+// 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;
+
+// exports: { "ndarray": "main.ndarray" }
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/lib/main.js b/lib/node_modules/@stdlib/blas/base/gspmv/lib/main.js
new file mode 100644
index 000000000000..165fd7427de2
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/lib/main.js
@@ -0,0 +1,89 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
+var resolveStr = require( '@stdlib/blas/base/matrix-triangle-resolve-str' );
+var stride2offset = require( '@stdlib/strided/base/stride2offset' );
+var format = require( '@stdlib/string/format' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.
+*
+* @param {string} order - storage layout
+* @param {(integer|string)} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied
+* @param {NonNegativeInteger} N - number of elements along each dimension of `A`
+* @param {number} alpha - scalar constant
+* @param {NumericArray} AP - packed form of a symmetric matrix `A`
+* @param {NumericArray} x - first input vector
+* @param {integer} strideX - `x` stride length
+* @param {number} beta - scalar constant
+* @param {NumericArray} y - second input vector
+* @param {integer} strideY - `y` stride length
+* @throws {TypeError} first argument must be a valid order
+* @throws {TypeError} second argument must specify whether the lower or upper triangular matrix is supplied
+* @throws {RangeError} third argument must be a nonnegative integer
+* @throws {RangeError} seventh argument must be non-zero
+* @throws {RangeError} tenth argument must be non-zero
+* @returns {NumericArray} `y`
+*
+* @example
+* var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+* var x = [ 1.0, 1.0, 1.0 ];
+* var y = [ 1.0, 1.0, 1.0 ];
+*
+* gspmv( 'column-major', 'lower', 3, 1.0, AP, x, 1, 1.0, y, 1 );
+* // y => [ 7.0, 12.0, 15.0 ]
+*/
+function gspmv( order, uplo, N, alpha, AP, x, strideX, beta, y, strideY ) {
+ var ox;
+ var oy;
+ var u;
+
+ if ( !isLayout( order ) ) {
+ throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
+ }
+ u = resolveStr( uplo );
+ if ( u === null ) {
+ throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
+ }
+ if ( N < 0 ) {
+ throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) );
+ }
+ if ( strideX === 0 ) {
+ throw new RangeError( format( 'invalid argument. Seventh argument must be non-zero. Value: `%d`.', strideX ) );
+ }
+ if ( strideY === 0 ) {
+ throw new RangeError( format( 'invalid argument. Tenth argument must be non-zero. Value: `%d`.', strideY ) );
+ }
+ ox = stride2offset( N, strideX );
+ oy = stride2offset( N, strideY );
+ return base( order, u, N, alpha, AP, 0, x, strideX, ox, beta, y, strideY, oy ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = gspmv;
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/lib/ndarray.js b/lib/node_modules/@stdlib/blas/base/gspmv/lib/ndarray.js
new file mode 100644
index 000000000000..46b6b7b74dd5
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/lib/ndarray.js
@@ -0,0 +1,87 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
+var resolveStr = require( '@stdlib/blas/base/matrix-triangle-resolve-str' );
+var format = require( '@stdlib/string/format' );
+var base = require( './base.js' );
+
+
+// MAIN //
+
+/**
+* Performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form, using alternative indexing semantics.
+*
+* @param {string} order - storage layout
+* @param {(integer|string)} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied
+* @param {NonNegativeInteger} N - number of elements along each dimension of `A`
+* @param {number} alpha - scalar constant
+* @param {NumericArray} AP - packed form of a symmetric matrix `A`
+* @param {NonNegativeInteger} offsetAP - starting index for `AP`
+* @param {NumericArray} x - first input vector
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting index for `x`
+* @param {number} beta - scalar constant
+* @param {NumericArray} y - second input vector
+* @param {integer} strideY - `y` stride length
+* @param {NonNegativeInteger} offsetY - starting index for `y`
+* @throws {TypeError} first argument must be a valid order
+* @throws {TypeError} second argument must specify whether the lower or upper triangular matrix is supplied
+* @throws {RangeError} third argument must be a nonnegative integer
+* @throws {RangeError} eighth argument must be non-zero
+* @throws {RangeError} twelfth argument must be non-zero
+* @returns {NumericArray} `y`
+*
+* @example
+* var AP = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
+* var x = [ 1.0, 1.0, 1.0 ];
+* var y = [ 1.0, 1.0, 1.0 ];
+*
+* gspmv( 'column-major', 'lower', 3, 1.0, AP, 0, x, 1, 0, 1.0, y, 1, 0 );
+* // y => [ 7.0, 12.0, 15.0 ]
+*/
+function gspmv( order, uplo, N, alpha, AP, offsetAP, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-params, max-len
+ var u;
+
+ if ( !isLayout( order ) ) {
+ throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
+ }
+ u = resolveStr( uplo );
+ if ( u === null ) {
+ throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
+ }
+ if ( N < 0 ) {
+ throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) );
+ }
+ if ( strideX === 0 ) {
+ throw new RangeError( format( 'invalid argument. Eighth argument must be non-zero. Value: `%d`.', strideX ) );
+ }
+ if ( strideY === 0 ) {
+ throw new RangeError( format( 'invalid argument. Twelfth argument must be non-zero. Value: `%d`.', strideY ) );
+ }
+ return base( order, u, N, alpha, AP, offsetAP, x, strideX, offsetX, beta, y, strideY, offsetY ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = gspmv;
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/package.json b/lib/node_modules/@stdlib/blas/base/gspmv/package.json
new file mode 100644
index 000000000000..1d52624ef032
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/package.json
@@ -0,0 +1,69 @@
+{
+ "name": "@stdlib/blas/base/gspmv",
+ "version": "0.0.0",
+ "description": "Perform the matrix-vector operation `y = α*A*x + β*y` where `α` and `β` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form.",
+ "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 2",
+ "gspmv",
+ "linear",
+ "algebra",
+ "subroutines",
+ "array",
+ "ndarray",
+ "generic",
+ "typed-array",
+ "matrix",
+ "vector"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xnyn.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xnyn.json
new file mode 100644
index 000000000000..06b6850679f5
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xnyn.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "upper",
+ "order": "column-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": -1,
+ "offsetX": 2,
+ "strideY": -1,
+ "offsetY": 2,
+ "offsetAP": 2,
+ "AP": [ 0.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 16.0, 11.0, 8.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xnyp.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xnyp.json
new file mode 100644
index 000000000000..c2d83166074e
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xnyp.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "upper",
+ "order": "column-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": -1,
+ "offsetX": 2,
+ "strideY": 1,
+ "offsetY": 0,
+ "offsetAP": 0,
+ "AP": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 8.0, 11.0, 16.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xoyt.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xoyt.json
new file mode 100644
index 000000000000..b05e6fe81a66
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xoyt.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "lower",
+ "order": "column-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": 2,
+ "offsetY": 0,
+ "offsetAP": 0,
+ "AP": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ],
+ "y_out": [ 7.0, 0.0, 12.0, 0.0, 15.0, 0.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xpyn.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xpyn.json
new file mode 100644
index 000000000000..f4aad6d8b842
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xpyn.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "upper",
+ "order": "column-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": -1,
+ "offsetY": 2,
+ "offsetAP": 0,
+ "AP": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 16.0, 11.0, 8.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xpyp.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xpyp.json
new file mode 100644
index 000000000000..b3123f8e2f1a
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/column_major_xpyp.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "upper",
+ "order": "column-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": 1,
+ "offsetY": 0,
+ "offsetAP": 0,
+ "AP": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 8.0, 11.0, 16.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xnyn.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xnyn.json
new file mode 100644
index 000000000000..f1631104ae57
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xnyn.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "upper",
+ "order": "row-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": -1,
+ "offsetX": 2,
+ "strideY": -1,
+ "offsetY": 2,
+ "offsetAP": 2,
+ "AP": [ 0.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 15.0, 12.0, 7.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xnyp.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xnyp.json
new file mode 100644
index 000000000000..475ee4d49195
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xnyp.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "upper",
+ "order": "row-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": -1,
+ "offsetX": 2,
+ "strideY": 1,
+ "offsetY": 0,
+ "offsetAP": 0,
+ "AP": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 7.0, 12.0, 15.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xoyt.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xoyt.json
new file mode 100644
index 000000000000..211518d861c3
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xoyt.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "lower",
+ "order": "row-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": 2,
+ "offsetY": 0,
+ "offsetAP": 0,
+ "AP": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ],
+ "y_out": [ 8.0, 0.0, 11.0, 0.0, 16.0, 0.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xpyn.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xpyn.json
new file mode 100644
index 000000000000..2a6711742d6d
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xpyn.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "upper",
+ "order": "row-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": -1,
+ "offsetY": 2,
+ "offsetAP": 0,
+ "AP": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 15.0, 12.0, 7.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xpyp.json b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xpyp.json
new file mode 100644
index 000000000000..ddee2b156243
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/fixtures/row_major_xpyp.json
@@ -0,0 +1,16 @@
+{
+ "uplo": "upper",
+ "order": "row-major",
+ "N": 3,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": 1,
+ "offsetY": 0,
+ "offsetAP": 0,
+ "AP": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 7.0, 12.0, 15.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/test.js b/lib/node_modules/@stdlib/blas/base/gspmv/test/test.js
new file mode 100644
index 000000000000..6045225800c1
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/test.js
@@ -0,0 +1,38 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var gspmv = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof gspmv, '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 gspmv.ndarray, 'function', 'method is a function' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/test.main.js b/lib/node_modules/@stdlib/blas/base/gspmv/test/test.main.js
new file mode 100644
index 000000000000..720952d531db
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/test.main.js
@@ -0,0 +1,613 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var toAccessorArray = require( '@stdlib/array/base/to-accessor-array' );
+var copy = require( '@stdlib/array/base/copy' );
+var gspmv = require( './../lib/main.js' );
+
+
+// FIXTURES //
+
+var rxoyt = require( './fixtures/row_major_xoyt.json' );
+var rxpyp = require( './fixtures/row_major_xpyp.json' );
+var rxnyp = require( './fixtures/row_major_xnyp.json' );
+var rxpyn = require( './fixtures/row_major_xpyn.json' );
+var rxnyn = require( './fixtures/row_major_xnyn.json' );
+var cxoyt = require( './fixtures/column_major_xoyt.json' );
+var cxpyp = require( './fixtures/column_major_xpyp.json' );
+var cxnyp = require( './fixtures/column_major_xnyp.json' );
+var cxpyn = require( './fixtures/column_major_xpyn.json' );
+var cxnyn = require( './fixtures/column_major_xnyn.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof gspmv, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 10', function test( t ) {
+ t.strictEqual( gspmv.length, 10, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid first argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop'
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( value, data.uplo, data.N, data.alpha, copy( data.AP ), copy( data.x ), data.strideX, data.beta, copy( data.y ), data.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid second argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop'
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( data.order, value, data.N, data.alpha, copy( data.AP ), copy( data.x ), data.strideX, data.beta, copy( data.y ), data.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid third argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ -1,
+ -2,
+ -3
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( data.order, data.uplo, value, data.alpha, copy( data.AP ), copy( data.x ), data.strideX, data.beta, copy( data.y ), data.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid seventh argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ 0
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( data.order, data.uplo, data.N, data.alpha, copy( data.AP ), copy( data.x ), value, data.beta, copy( data.y ), data.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid tenth argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ 0
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( data.order, data.uplo, data.N, data.alpha, copy( data.AP ), copy( data.x ), data.strideX, data.beta, copy( data.y ), value );
+ };
+ }
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (row-major, sx=1, sy=1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (column-major, sx=1, sy=1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (row-major, sx=1, sy=2)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxoyt;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (column-major, sx=1, sy=2)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxoyt;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (row-major, sx=1, sy=-1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxpyn;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (column-major, sx=1, sy=-1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxpyn;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (row-major, sx=-1, sy=1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxnyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (column-major, sx=-1, sy=1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxnyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function returns a reference to the second input vector', function test( t ) {
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if `N` is zero or the scalar constants are zero and unity, respectively, the function returns the second input vector unchanged (row-major)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y );
+
+ out = gspmv( data.order, data.uplo, 0, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ out = gspmv( data.order, data.uplo, data.N, 0.0, ap, x, data.strideX, 1.0, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if `N` is zero or the scalar constants are zero and unity, respectively, the function returns the second input vector unchanged (column-major)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y );
+
+ out = gspmv( data.order, data.uplo, 0, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ out = gspmv( data.order, data.uplo, data.N, 0.0, ap, x, data.strideX, 1.0, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'when `α` is zero, the function scales the second input vector (row-major, upper)', function test( t ) {
+ var expected;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ ap = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
+ x = [ 1.0, 1.0, 1.0 ];
+ y = [ 1.0, 1.0, 1.0 ];
+
+ expected = [ 5.0, 5.0, 5.0 ];
+
+ out = gspmv( 'row-major', 'upper', 3, 0.0, ap, x, 1, 5.0, y, 1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = [ 0.0, 0.0, 0.0 ];
+
+ out = gspmv( 'row-major', 'upper', 3, 0.0, ap, x, 1, 0.0, y, -1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'when `α` is zero, the function scales the second input vector (row-major, lower)', function test( t ) {
+ var expected;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ ap = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
+ x = [ 1.0, 1.0, 1.0 ];
+ y = [ 1.0, 1.0, 1.0 ];
+
+ expected = [ 5.0, 5.0, 5.0 ];
+
+ out = gspmv( 'row-major', 'lower', 3, 0.0, ap, x, 1, 5.0, y, -1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = [ 0.0, 0.0, 0.0 ];
+
+ out = gspmv( 'row-major', 'lower', 3, 0.0, ap, x, 1, 0.0, y, 1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'when `α` is zero, the function scales the second input vector (column-major, upper)', function test( t ) {
+ var expected;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ ap = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
+ x = [ 1.0, 1.0, 1.0 ];
+ y = [ 1.0, 1.0, 1.0 ];
+
+ expected = [ 5.0, 5.0, 5.0 ];
+
+ out = gspmv( 'column-major', 'upper', 3, 0.0, ap, x, 1, 5.0, y, 1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = [ 0.0, 0.0, 0.0 ];
+
+ out = gspmv( 'column-major', 'upper', 3, 0.0, ap, x, 1, 0.0, y, -1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'when `α` is zero, the function scales the second input vector (column-major, lower)', function test( t ) {
+ var expected;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ ap = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
+ x = [ 1.0, 1.0, 1.0 ];
+ y = [ 1.0, 1.0, 1.0 ];
+
+ expected = [ 5.0, 5.0, 5.0 ];
+
+ out = gspmv( 'column-major', 'lower', 3, 0.0, ap, x, 1, 5.0, y, -1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = [ 0.0, 0.0, 0.0 ];
+
+ out = gspmv( 'column-major', 'lower', 3, 0.0, ap, x, 1, 0.0, y, 1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns (row-major)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxnyn;
+
+ ap = copy( data.AP ).slice( data.offsetAP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns (column-major)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxnyn;
+
+ ap = copy( data.AP ).slice( data.offsetAP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports accessor arrays', function test( t ) {
+ var fixtures;
+ var expected;
+ var ybuf;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+ var i;
+
+ fixtures = [ rxpyp, cxpyp, rxoyt, cxoyt, rxpyn, cxpyn, rxnyp, cxnyp, rxnyn, cxnyn ];
+ for ( i = 0; i < fixtures.length; i++ ) {
+ data = fixtures[ i ];
+ ap = toAccessorArray( copy( data.AP ).slice( data.offsetAP ) );
+ x = toAccessorArray( copy( data.x ) );
+ ybuf = copy( data.y );
+ y = toAccessorArray( ybuf );
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, x, data.strideX, data.beta, y, data.strideY );
+ t.strictEqual( out, y, 'returns the accessor array' );
+ t.deepEqual( ybuf, expected, 'returns expected values for fixture '+i );
+ }
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/blas/base/gspmv/test/test.ndarray.js b/lib/node_modules/@stdlib/blas/base/gspmv/test/test.ndarray.js
new file mode 100644
index 000000000000..22e927f0ba42
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/gspmv/test/test.ndarray.js
@@ -0,0 +1,613 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var toAccessorArray = require( '@stdlib/array/base/to-accessor-array' );
+var copy = require( '@stdlib/array/base/copy' );
+var gspmv = require( './../lib/ndarray.js' );
+
+
+// FIXTURES //
+
+var rxoyt = require( './fixtures/row_major_xoyt.json' );
+var rxpyp = require( './fixtures/row_major_xpyp.json' );
+var rxnyp = require( './fixtures/row_major_xnyp.json' );
+var rxpyn = require( './fixtures/row_major_xpyn.json' );
+var rxnyn = require( './fixtures/row_major_xnyn.json' );
+var cxoyt = require( './fixtures/column_major_xoyt.json' );
+var cxpyp = require( './fixtures/column_major_xpyp.json' );
+var cxnyp = require( './fixtures/column_major_xnyp.json' );
+var cxpyn = require( './fixtures/column_major_xpyn.json' );
+var cxnyn = require( './fixtures/column_major_xnyn.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof gspmv, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 13', function test( t ) {
+ t.strictEqual( gspmv.length, 13, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid first argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop'
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( value, data.uplo, data.N, data.alpha, copy( data.AP ), data.offsetAP, copy( data.x ), data.strideX, data.offsetX, data.beta, copy( data.y ), data.strideY, data.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid second argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ 'foo',
+ 'bar',
+ 'beep',
+ 'boop'
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), TypeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( data.order, value, data.N, data.alpha, copy( data.AP ), data.offsetAP, copy( data.x ), data.strideX, data.offsetX, data.beta, copy( data.y ), data.strideY, data.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid third argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ -1,
+ -2,
+ -3
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( data.order, data.uplo, value, data.alpha, copy( data.AP ), data.offsetAP, copy( data.x ), data.strideX, data.offsetX, data.beta, copy( data.y ), data.strideY, data.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid eighth argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ 0
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( data.order, data.uplo, data.N, data.alpha, copy( data.AP ), data.offsetAP, copy( data.x ), value, data.offsetX, data.beta, copy( data.y ), data.strideY, data.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid twelfth argument', function test( t ) {
+ var values;
+ var data;
+ var i;
+
+ data = rxpyp;
+
+ values = [
+ 0
+ ];
+
+ for ( i = 0; i < values.length; i++ ) {
+ t.throws( badValue( values[ i ] ), RangeError, 'throws an error when provided ' + values[ i ] );
+ }
+ t.end();
+
+ function badValue( value ) {
+ return function badValue() {
+ gspmv( data.order, data.uplo, data.N, data.alpha, copy( data.AP ), data.offsetAP, copy( data.x ), data.strideX, data.offsetX, data.beta, copy( data.y ), value, data.offsetY );
+ };
+ }
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (row-major, sx=1, sy=1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (column-major, sx=1, sy=1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (row-major, sx=1, sy=2)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxoyt;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (column-major, sx=1, sy=2)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxoyt;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (row-major, sx=1, sy=-1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxpyn;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (column-major, sx=1, sy=-1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxpyn;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (row-major, sx=-1, sy=1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxnyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function performs the matrix-vector operation `y = alpha*A*x + beta*y` where `alpha` and `beta` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix supplied in packed form (column-major, sx=-1, sy=1)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxnyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function returns a reference to the second input vector', function test( t ) {
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if `N` is zero or the scalar constants are zero and unity, respectively, the function returns the second input vector unchanged (row-major)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y );
+
+ out = gspmv( data.order, data.uplo, 0, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ out = gspmv( data.order, data.uplo, data.N, 0.0, ap, data.offsetAP, x, data.strideX, data.offsetX, 1.0, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if `N` is zero or the scalar constants are zero and unity, respectively, the function returns the second input vector unchanged (column-major)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxpyp;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y );
+
+ out = gspmv( data.order, data.uplo, 0, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ out = gspmv( data.order, data.uplo, data.N, 0.0, ap, data.offsetAP, x, data.strideX, data.offsetX, 1.0, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'when `α` is zero, the function scales the second input vector (row-major, upper)', function test( t ) {
+ var expected;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ ap = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
+ x = [ 1.0, 1.0, 1.0 ];
+ y = [ 1.0, 1.0, 1.0 ];
+
+ expected = [ 5.0, 5.0, 5.0 ];
+
+ out = gspmv( 'row-major', 'upper', 3, 0.0, ap, 0, x, 1, 0, 5.0, y, 1, 0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = [ 0.0, 0.0, 0.0 ];
+
+ out = gspmv( 'row-major', 'upper', 3, 0.0, ap, 0, x, 1, 0, 0.0, y, -1, 2 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'when `α` is zero, the function scales the second input vector (row-major, lower)', function test( t ) {
+ var expected;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ ap = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
+ x = [ 1.0, 1.0, 1.0 ];
+ y = [ 1.0, 1.0, 1.0 ];
+
+ expected = [ 5.0, 5.0, 5.0 ];
+
+ out = gspmv( 'row-major', 'lower', 3, 0.0, ap, 0, x, 1, 0, 5.0, y, -1, 2 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = [ 0.0, 0.0, 0.0 ];
+
+ out = gspmv( 'row-major', 'lower', 3, 0.0, ap, 0, x, 1, 0, 0.0, y, 1, 0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'when `α` is zero, the function scales the second input vector (column-major, upper)', function test( t ) {
+ var expected;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ ap = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
+ x = [ 1.0, 1.0, 1.0 ];
+ y = [ 1.0, 1.0, 1.0 ];
+
+ expected = [ 5.0, 5.0, 5.0 ];
+
+ out = gspmv( 'column-major', 'upper', 3, 0.0, ap, 0, x, 1, 0, 5.0, y, 1, 0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = [ 0.0, 0.0, 0.0 ];
+
+ out = gspmv( 'column-major', 'upper', 3, 0.0, ap, 0, x, 1, 0, 0.0, y, -1, 2 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'when `α` is zero, the function scales the second input vector (column-major, lower)', function test( t ) {
+ var expected;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ ap = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];
+ x = [ 1.0, 1.0, 1.0 ];
+ y = [ 1.0, 1.0, 1.0 ];
+
+ expected = [ 5.0, 5.0, 5.0 ];
+
+ out = gspmv( 'column-major', 'lower', 3, 0.0, ap, 0, x, 1, 0, 5.0, y, -1, 2 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = [ 0.0, 0.0, 0.0 ];
+
+ out = gspmv( 'column-major', 'lower', 3, 0.0, ap, 0, x, 1, 0, 0.0, y, 1, 0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns (row-major)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = rxnyn;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns (column-major)', function test( t ) {
+ var expected;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+
+ data = cxnyn;
+
+ ap = copy( data.AP );
+ x = copy( data.x );
+ y = copy( data.y );
+
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports accessor arrays', function test( t ) {
+ var fixtures;
+ var expected;
+ var ybuf;
+ var data;
+ var out;
+ var ap;
+ var x;
+ var y;
+ var i;
+
+ fixtures = [ rxpyp, cxpyp, rxoyt, cxoyt, rxpyn, cxpyn, rxnyp, cxnyp, rxnyn, cxnyn ];
+ for ( i = 0; i < fixtures.length; i++ ) {
+ data = fixtures[ i ];
+ ap = toAccessorArray( copy( data.AP ) );
+ x = toAccessorArray( copy( data.x ) );
+ ybuf = copy( data.y );
+ y = toAccessorArray( ybuf );
+ expected = copy( data.y_out );
+
+ out = gspmv( data.order, data.uplo, data.N, data.alpha, ap, data.offsetAP, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY );
+ t.strictEqual( out, y, 'returns the accessor array' );
+ t.deepEqual( ybuf, expected, 'returns expected values for fixture '+i );
+ }
+ t.end();
+});