diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/README.md b/lib/node_modules/@stdlib/blas/base/ssbmv/README.md
new file mode 100644
index 000000000000..42bffaa03214
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/README.md
@@ -0,0 +1,264 @@
+
+
+# ssbmv
+
+> 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 band matrix with `k` super-/sub-diagonals.
+
+
+
+## Usage
+
+```javascript
+var ssbmv = require( '@stdlib/blas/base/ssbmv' );
+```
+
+#### ssbmv( ord, uplo, N, k, α, A, LDA, 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 band matrix with `k` super-/sub-diagonals.
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ssbmv( 'row-major', 'lower', 3, 1, 1.0, A, 3, x, 1, 0.0, y, 1 );
+// y => [ ~0.2, ~1.7, ~0.9 ]
+```
+
+The function has the following parameters:
+
+- **ord**: storage layout.
+- **uplo**: specifies whether the upper or lower triangular part of the symmetric band matrix `A` is supplied.
+- **N**: number of elements along each dimension of `A`.
+- **k**: number of super-/sub-diagonals.
+- **α**: scalar constant.
+- **A**: symmetric band matrix stored in band storage in linear memory as a [`Float32Array`][mdn-float32array].
+- **lda**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
+- **x**: input [`Float32Array`][mdn-float32array].
+- **sx**: index increment for `x`.
+- **β**: scalar constant.
+- **y**: output [`Float32Array`][mdn-float32array].
+- **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 `x` in reverse order,
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+var x = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+var y = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+
+ssbmv( 'row-major', 'upper', 3, 1, 2.0, A, 3, x, -1, 1.0, y, 1 );
+// y => [ ~3.2, ~3.6, ~6.8 ]
+```
+
+Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
+
+
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+// Initial arrays...
+var x0 = new Float32Array( [ 1.0, 1.0, 1.0, 1.0 ] );
+var y0 = new Float32Array( [ 1.0, 1.0, 1.0, 1.0 ] );
+var A = new Float32Array( [ 1.0, 2.0, 3.0, 0.0, 4.0, 5.0, 0.0, 0.0, 6.0 ] );
+
+// Create offset views...
+var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 1st element
+var y1 = new Float32Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 1st element
+
+ssbmv( 'row-major', 'upper', 3, 1, 1.0, A, 3, x1, -1, 1.0, y1, -1 );
+// y0 => [ 1.0, 5.0, 7.0, 4.0 ]
+```
+
+#### ssbmv.ndarray( ord, uplo, N, k, α, A, LDA, 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 band matrix with `k` super-/sub-diagonals.
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+var x = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+var y = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+
+ssbmv.ndarray( 'row-major', 'upper', 3, 1, 2.0, A, 3, x, -1, 2, 1.0, y, 1, 0 );
+// y => [ ~3.2, ~3.6, ~6.8 ]
+```
+
+The function has the following additional parameters:
+
+- **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 Float32Array = require( '@stdlib/array/float32' );
+
+var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+var y = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+
+ssbmv.ndarray( 'row-major', 'lower', 3, 1, 1.0, A, 3, x, -1, 2, 1.0, y, -1, 2 );
+// y => [ ~1.9, ~2.7, ~1.2 ]
+```
+
+
+
+
+
+
+
+## Notes
+
+- `ssbmv()` corresponds to the [BLAS][blas] level 2 function [`ssbmv`][ssbmv].
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var ssbmv = require( '@stdlib/blas/base/ssbmv' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+
+var N = 3;
+var A = discreteUniform( N*N, 0, 255, opts );
+
+var x = discreteUniform( N, 0, 255, opts );
+var y = discreteUniform( N, 0, 255, opts );
+
+ssbmv.ndarray( 'row-major', 'upper', N, 1, 1.0, A, N, x, 1, 0, 1.0, y, 1, 0 );
+console.log( y );
+
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/blas/base/ssbmv.h"
+```
+
+#### TODO
+
+TODO.
+
+```c
+TODO
+```
+
+TODO
+
+```c
+TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+TODO
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[blas]: http://www.netlib.org/blas
+
+[ssbmv]: https://netlib.org/lapack/explore-html/d2/d94/ssbmv_8f.html
+
+[mdn-float32array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float32Array
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+
+
+
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/base/ssbmv/benchmark/benchmark.js
new file mode 100644
index 000000000000..eba8ed049269
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/benchmark/benchmark.js
@@ -0,0 +1,106 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var ones = require( '@stdlib/array/ones' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pkg = require( './../package.json' ).name;
+var ssbmv = require( './../lib/ssbmv.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var x = uniform( len, -10.0, 10.0, options );
+ var y = uniform( len, -10.0, 10.0, options );
+ var A = ones( len*len, options.dtype );
+ 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 = ssbmv( 'row-major', 'upper', len, 1, 1.0, A, len, x, 1, 1.0, y, 1 );
+ if ( isnanf( z[ i%z.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( 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( pkg+':size='+(len*len), f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/blas/base/ssbmv/benchmark/benchmark.ndarray.js
new file mode 100644
index 000000000000..028c9acb3064
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/benchmark/benchmark.ndarray.js
@@ -0,0 +1,106 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var ones = require( '@stdlib/array/ones' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var pkg = require( './../package.json' ).name;
+var ssbmv = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var x = uniform( len, -10.0, 10.0, options );
+ var y = uniform( len, -10.0, 10.0, options );
+ var A = ones( len*len, options.dtype );
+ 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 = ssbmv( 'row-major', 'upper', len, 1, 1.0, A, len, x, 1, 0, 1.0, y, 1, 0 );
+ if ( isnanf( z[ i%z.length ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( 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( pkg+':ndarray:size='+(len*len), f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/docs/repl.txt b/lib/node_modules/@stdlib/blas/base/ssbmv/docs/repl.txt
new file mode 100644
index 000000000000..99a0123a619d
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/docs/repl.txt
@@ -0,0 +1,171 @@
+
+{{alias}}( ord, uplo, N, k, α, A, lda, x, sx, β, y, sy )
+ 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 band matrix with `k` super-/sub-diagonals.
+
+ The stride parameters determine how elements in the strided arrays are
+ accessed at runtime.
+
+ Indexing is relative to the first index. To introduce an offset, use typed
+ array views.
+
+ If `N` is equal to `0`, the function returns `y` unchanged.
+
+ If `α` equals `0.0` and β equals `1.0`, 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 part of `A` is provided.
+ Must be either 'upper' or 'lower'.
+
+ N: integer
+ Number of elements along each dimension of `A`.
+
+ k: integer
+ Specifies the number of super-/sub-diagonals.
+
+ α: number
+ Scalar constant.
+
+ A: Float32Array
+ Symmetric band matrix stored in band storage.
+
+ lda: integer
+ Stride of the first dimension of `A` (a.k.a., leading dimension of the
+ matrix `A`).
+
+ x: Float32Array
+ Input vector.
+
+ sx: integer
+ Index increment for `x`.
+
+ β: number
+ Scalar constant.
+
+ y: Float32Array
+ Output vector .
+
+ sy: integer
+ Index increment for `y`.
+
+ Returns
+ -------
+ y: Float32Array
+ Output vector.
+
+ Examples
+ --------
+ // Standard usage:
+ > var x = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > var y = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > var A = new {{alias:@stdlib/array/float32}}( [ 1.0, 2.0, 3.0, 4.0 ] );
+ > {{alias}}( 'row-major', 'upper', 2, 1, 1.0, A, 2, x, 1, 1.0, y, 1 )
+ [ ~4.0, ~6.0 ]
+
+ // Advanced indexing:
+ > x = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > y = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > A = new {{alias:@stdlib/array/float32}}( [ 1.0, 2.0, 3.0, 4.0 ] );
+ > {{alias}}( 'row-major', 'upper', 2, 1, 1.0, A, 2, x, -1, 1.0, y, -1 )
+ [ ~6.0, ~4.0 ]
+
+ // Using typed array views:
+ > var x0 = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > var y0 = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > A = new {{alias:@stdlib/array/float32}}( [ 1.0, 2.0, 0.0, 3.0 ] );
+ > var x1 = new {{alias:@stdlib/array/float32}}( x0.buffer, x0.BYTES_PER_ELEMENT*0 );
+ > var y1 = new {{alias:@stdlib/array/float32}}( y0.buffer, y0.BYTES_PER_ELEMENT*0 );
+ > {{alias}}( 'row-major', 'upper', 2, 1, 1.0, A, 2, x1, 1, 1.0, y1, 1 );
+ > y0
+ [ ~4.0, ~3.0 ]
+
+
+{{alias}}.ndarray( ord, uplo, N, k, α, A, lda, x, sx, ox, β, y, sy, oy )
+ Perform the matrix-vector operations `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 band matrix with `k`
+ super-/sub-diagonals.
+
+ 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 part of `A` is supplied.
+ Must be either 'upper' or 'lower'.
+
+ N: integer
+ Number of elements along each dimension of `A`.
+
+ k: integer
+ Specifies the number of super-/sub-diagonals.
+
+ α: number
+ Scalar constant.
+
+ A: Float32Array
+ Symmetric band matrix stored in band storage.
+
+ lda: integer
+ Stride of the first dimension of `A` (a.k.a., leading dimension of the
+ matrix `A`).
+
+ x: Float32Array
+ Input vector.
+
+ sx: integer
+ Index increment for `x`.
+
+ ox: integer
+ Starting index for `x`.
+
+ β: number
+ Scalar.
+
+ y: Float32Array
+ Output vector.
+
+ sy: integer
+ Index increment for `y`.
+
+ oy: integer
+ Starting index for `y`.
+
+ Returns
+ -------
+ y: Float32Array
+ Output vector.
+
+ Examples
+ --------
+ // Standard usage:
+ > var x = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > var y = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > var A = new {{alias:@stdlib/array/float32}}( [ 1.0, 2.0, 3.0, 4.0 ] );
+ > var ord = 'row-major';
+ > var uplo = 'upper';
+ > {{alias}}.ndarray( ord, uplo, 2, 1, 1.0, A, 2, x, 1, 0, 1.0, y, 1, 0 )
+ [ ~4.0, ~6.0 ]
+
+ // Advanced indexing:
+ > x = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > y = new {{alias:@stdlib/array/float32}}( [ 1.0, 1.0 ] );
+ > A = new {{alias:@stdlib/array/float32}}( [ 1.0, 2.0, 3.0, 4.0 ] );
+ > {{alias}}.ndarray( ord, uplo, 2, 1, 1.0, A, 2, x, -1, 1, 1.0, y, -1, 1 )
+ [ ~6.0, ~4.0 ]
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/base/ssbmv/docs/types/index.d.ts
new file mode 100644
index 000000000000..704c49312410
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/docs/types/index.d.ts
@@ -0,0 +1,132 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+///
+
+import { Layout, MatrixTriangle } from '@stdlib/types/blas';
+
+/**
+* Interface describing `ssbmv`.
+*/
+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 band matrix with `k` super-/sub-diagonals.
+ *
+ * @param order - storage layout
+ * @param uplo - specifies whether the upper or lower triangular part of the symmetric band matrix `A` is being supplied
+ * @param N - number of elements along each dimension in the matrix `A`
+ * @param k - number of super-/sub-diagonals
+ * @param alpha - scalar constant
+ * @param A - symmetric band matrix stored in band storage
+ * @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+ * @param x - first input array
+ * @param strideX - `x` stride length
+ * @param beta - scalar constant
+ * @param y - second input array
+ * @param strideY - `y` stride length
+ * @returns `y`
+ *
+ * @example
+ * var Float32Array = require( '@stdlib/array/float32' );
+ *
+ * var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+ * var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+ * var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+ *
+ * ssbmv( 'row-major, 'lower', 3, 1, 1.0, A, 3, x, 1, 0.0, y, 1 );
+ * // y => [ ~0.2, ~1.7, ~0.9 ]
+ */
+ ( order: Layout, uplo: MatrixTriangle, N: number, k: number, alpha: number, A: Float32Array, LDA: number, x: Float32Array, strideX: number, beta: number, y: Float32Array, strideY: number ): Float32Array;
+
+ /**
+ * 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 band matrix with `k` super-/sub-diagonals.
+ *
+ * @param order - storage layout
+ * @param uplo - specifies whether the upper or lower triangular part of the symmetric band matrix `A` is being supplied
+ * @param N - number of elements along each dimension in the matrix `A`
+ * @param k - number of super-/sub-diagonals
+ * @param alpha - scalar constant
+ * @param A - symmetric band matrix stored in band storage
+ * @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+ * @param x - first input array
+ * @param strideX - `x` stride length
+ * @param offsetX - starting `x` index
+ * @param beta - scalar constant
+ * @param y - second input array
+ * @param strideY - `y` stride length
+ * @param offsetY - starting `y` index
+ * @returns `y`
+ *
+ * @example
+ * var Float32Array = require( '@stdlib/array/float32' );
+ *
+ * var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+ * var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+ * var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+ *
+ * ssbmv.ndarray( 'row-major', 'lower', 3, 1, 1.0, A, 3, x, 1, 0, 0.0, y, 1, 0 );
+ * // y => [ ~0.2, ~1.7, ~0.9 ]
+ */
+ ndarray( order: Layout, uplo: MatrixTriangle, N: number, k: number, alpha: number, A: Float32Array, LDA: number, x: Float32Array, strideX: number, offsetX: number, beta: number, y: Float32Array, strideY: number, offsetY: number ): Float32Array;
+}
+
+/**
+* Performs the matrix-vector operations `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 band matrix with `k` super-/sub-diagonals.
+*
+* @param order - storage layout
+* @param uplo - specifies whether the upper or lower triangular part of the symmetric band matrix `A` is being supplied
+* @param N - number of elements along each dimension in the matrix `A`
+* @param k - number of super-/sub-diagonals
+* @param alpha - scalar constant
+* @param A - symmetric band matrix stored in band storage
+* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param x - first input array
+* @param strideX - `x` stride length
+* @param beta - scalar constant
+* @param y - second input array
+* @param strideY - `y` stride length
+* @returns `y`
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+*
+* var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+* var x = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+* var y = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+*
+* ssbmv( 'row-major', 'upper', 3, 1, 2.0, A, 3, x, -1, 1.0, y, 1 );
+* // y => [ ~3.2, ~3.6, ~6.8 ]
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+*
+* var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+* var x = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+* var y = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+*
+* ssbmv.ndarray( 'row-major', 'upper', 3, 2.0, A, 3, x, -1, 2, 1.0, y, 1, 0 );
+* // y => [ ~3.2, ~3.6, ~6.8 ]
+*/
+declare var ssbmv: Routine;
+
+
+// EXPORTS //
+
+export = ssbmv;
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/docs/types/test.ts b/lib/node_modules/@stdlib/blas/base/ssbmv/docs/types/test.ts
new file mode 100644
index 000000000000..7ecca2fe5439
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/docs/types/test.ts
@@ -0,0 +1,500 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import ssbmv = require( './index' );
+
+
+// TESTS //
+
+// The function returns a Float32Array...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectType Float32Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a string...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 10, 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( true, 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( false, 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( null, 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( undefined, 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( [], 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( {}, 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( ( x: number ): number => x, 'upper', 10, 1, 1.0, A, 10, 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 Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 10, 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', true, 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', false, 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', null, 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', undefined, 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', [ '1' ], 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', {}, 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', ( x: number ): number => x, 10, 1, 1.0, A, 10, 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 Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', '10', 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', true, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', false, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', null, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', undefined, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', [], 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', {}, 1, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', ( x: number ): number => x, 1, 1.0, A, 10, 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 Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, '10', 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, true, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, false, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, null, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, undefined, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, [], 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, {}, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, ( x: number ): number => x, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, '10', A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, true, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, false, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, null, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, undefined, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, [], A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, {}, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, ( x: number ): number => x, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a Float32Array...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, 10, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, '10', 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, true, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, false, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, null, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, undefined, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, [ '1' ], 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, {}, 10, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, ( x: number ): number => x, 10, 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 Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, '10', x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, true, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, false, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, null, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, undefined, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, [], x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, {}, x, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, ( x: number ): number => x, x, 1, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eighth argument which is not a Float32Array...
+{
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, 10, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, '10', 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, true, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, false, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, null, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, undefined, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, [ '1' ], 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, {}, 1, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, ( x: number ): number => x, 1, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a ninth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, '10', 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, true, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, false, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, null, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, undefined, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, [], 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, {}, 1.0, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, ( x: number ): number => x, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a tenth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, '10', y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, true, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, false, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, null, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, undefined, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, [], y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, {}, y, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, ( x: number ): number => x, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eleventh argument which is not a Float32Array...
+{
+ const x = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, 10, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, '10', 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, true, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, false, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, null, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, undefined, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, [ '1' ], 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, {}, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, ( x: number ): number => x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a twelfth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, '10' ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, true ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, false ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, null ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, undefined ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, [] ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, {} ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, 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 Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv(); // $ExpectError
+ ssbmv( 'row-major' ); // $ExpectError
+ ssbmv( 'row-major', 'upper' ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0 ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y ); // $ExpectError
+ ssbmv( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 1.0, y, 1, 10 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns a Float32Array...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectType Float32Array
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a string...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 10, 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( true, 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( false, 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( null, 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( undefined, 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( [], 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( {}, 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( ( x: number ): number => x, 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a string...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 10, 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', true, 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', false, 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', null, 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', undefined, 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', [ '1' ], 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', {}, 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', ( x: number ): number => x, 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', '10', 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', true, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', false, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', null, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', undefined, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', [], 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', {}, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', ( x: number ): number => x, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, '10', 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, true, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, false, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, null, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, undefined, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, [], 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, {}, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, ( x: number ): number => x, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, '10', A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, true, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, false, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, null, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, undefined, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, [], A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, {}, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, ( x: number ): number => x, A, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a Float32Array...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, 10, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, '10', 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, true, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, false, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, null, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, undefined, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, [ '1' ], 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, {}, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, ( x: number ): number => x, 10, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a seventh argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, '10', x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, true, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, false, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, null, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, undefined, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, [], x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, {}, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, ( x: number ): number => x, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eighth argument which is not a Float32Array...
+{
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, 10, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, '10', 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, true, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, false, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, null, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, undefined, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, [ '1' ], 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, {}, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, ( x: number ): number => x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a ninth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, '10', 0, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, true, 0, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, false, 0, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, null, 0, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, undefined, 0, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, [], 0, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, {}, 0, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, ( x: number ): number => x, 0, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a tenth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, '10', 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, true, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, false, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, null, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, undefined, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, [], 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, {}, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, ( x: number ): number => x, 1.0, y, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eleventh argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, '10', y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, true, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, false, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, null, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, undefined, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, [], y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, {}, y, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, ( x: number ): number => x, y, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a twelfth argument which is not a Float32Array...
+{
+ const x = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, 10, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, '10', 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, true, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, false, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, null, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, undefined, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, [ '1' ], 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, {}, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a thirteenth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, '10', 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, true, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, false, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, null, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, undefined, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, [], 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, {}, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourteenth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, '10' ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, true ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, false ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, null ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, undefined ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, [] ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, {} ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, 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 Float32Array( 10 );
+ const y = new Float32Array( 10 );
+ const A = new Float32Array( 20 );
+
+ ssbmv.ndarray(); // $ExpectError
+ ssbmv.ndarray( 'row-major' ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper' ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1 ); // $ExpectError
+ ssbmv.ndarray( 'row-major', 'upper', 10, 1, 1.0, A, 10, x, 1, 0, 1.0, y, 1, 0, 10 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/examples/index.js b/lib/node_modules/@stdlib/blas/base/ssbmv/examples/index.js
new file mode 100644
index 000000000000..16921bbe55b0
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/examples/index.js
@@ -0,0 +1,35 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var ssbmv = require( './../lib' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+
+var N = 3;
+var A = discreteUniform( N*N, 0, 255, opts );
+
+var x = discreteUniform( N, 0, 255, opts );
+var y = discreteUniform( N, 0, 255, opts );
+
+ssbmv.ndarray( 'row-major', 'upper', N, 1, 1.0, A, N, x, 1, 0, 1.0, y, 1, 0 );
+console.log( y );
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/lib/index.js b/lib/node_modules/@stdlib/blas/base/ssbmv/lib/index.js
new file mode 100644
index 000000000000..04dab33578cb
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/lib/index.js
@@ -0,0 +1,72 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* 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 band matrix with `k` super-/sub-diagonals.
+*
+* @module @stdlib/blas/base/ssbmv
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+* var ssbmv = require( '@stdlib/blas/base/ssbmv' );
+*
+* var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+* var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+*
+* ssbmv( 'row-major', 'lower', 3, 1, 1.0, A, 3, x, 1, 0.0, y, 1 );
+* // y => [ ~0.2, ~1.7, ~0.9 ]
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+* var ssbmv = require( '@stdlib/blas/base/ssbmv' );
+*
+* var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+* var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+*
+* ssbmv.ndarray( 'row-major', 'lower', 3, 1, 1.0, A, 3, x, 1, 0, 0.0, y, 1, 0 );
+* // y => [ ~0.2, ~1.7, ~0.9 ]
+*/
+
+// MODULES //
+
+var join = require( 'path' ).join;
+var tryRequire = require( '@stdlib/utils/try-require' );
+var isError = require( '@stdlib/assert/is-error' );
+var main = require( './main.js' );
+
+
+// MAIN //
+
+var ssbmv;
+var tmp = tryRequire( join( __dirname, './native.js' ) );
+if ( isError( tmp ) ) {
+ ssbmv = main;
+} else {
+ ssbmv = tmp;
+}
+
+
+// EXPORTS //
+
+module.exports = ssbmv;
+
+// exports: { "ndarray": "ssbmv.ndarray" }
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/lib/main.js b/lib/node_modules/@stdlib/blas/base/ssbmv/lib/main.js
new file mode 100644
index 000000000000..187287892c9d
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/lib/main.js
@@ -0,0 +1,35 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var ssbmv = require( './ssbmv.js' );
+var ndarray = require( './ndarray.js' );
+
+
+// MAIN //
+
+setReadOnly( ssbmv, 'ndarray', ndarray );
+
+
+// EXPORTS //
+
+module.exports = ssbmv;
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/lib/ndarray.js b/lib/node_modules/@stdlib/blas/base/ssbmv/lib/ndarray.js
new file mode 100644
index 000000000000..81e41b97d92f
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/lib/ndarray.js
@@ -0,0 +1,176 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var sfill = require( '@stdlib/blas/ext/base/sfill' ).ndarray;
+var sscal = require( '@stdlib/blas/base/sscal' ).ndarray;
+var max = require( '@stdlib/math/base/special/max' );
+var min = require( '@stdlib/math/base/special/min' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
+var isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' );
+var format = require( '@stdlib/string/format' );
+
+
+// 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 band matrix with `k` super-/sub-diagonals.
+*
+* @param {string} order - storage layout
+* @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is being supplied
+* @param {NonNegativeInteger} N - number of elements along each dimension of `A`
+* @param {NonNegativeInteger} k - number of super-/sub-diagonals
+* @param {number} alpha - scalar constant
+* @param {Float32Array} A - symmetric band matrix stored in band storage
+* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param {Float32Array} x - first input array
+* @param {integer} strideX - `x` stride length
+* @param {NonNegativeInteger} offsetX - starting `x` index
+* @param {number} beta - scalar constant
+* @param {Float32Array} y - second input array
+* @param {integer} strideY - `y` stride length
+* @param {NonNegativeInteger} offsetY - starting `y` index
+* @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} fourth argument must be a nonnegative integer
+* @throws {RangeError} seventh argument must be greater than `k+1`
+* @throws {RangeError} ninth argument must be non-zero
+* @throws {RangeError} thirteenth argument must be non-zero
+* @returns {Float32Array} `y`
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+*
+* var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+* var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+*
+* ssbmv( 'row-major', 'lower', 3, 1, 1.0, A, 3, x, 1, 0, 0.0, y, 1, 0 );
+* // y => [ ~0.2, ~1.7, ~0.9 ]
+*/
+function ssbmv( order, uplo, N, k, alpha, A, LDA, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-params, max-len
+ var kplus1;
+ var temp1;
+ var temp2;
+ var ix;
+ var iy;
+ var jx;
+ var jy;
+ var kx;
+ var ky;
+ var i;
+ var j;
+ var l;
+
+ if ( !isLayout( order ) ) {
+ throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
+ }
+ if ( !isMatrixTriangle( uplo ) ) {
+ throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
+ }
+ if ( N < 0 ) {
+ throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) );
+ }
+ if ( k < 0 ) {
+ throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', k ) );
+ }
+ if ( LDA < k+1 ) {
+ throw new RangeError( format( 'invalid argument. Seventh argument must be greater than or equal to %d. Value: `%d`.', k+1, LDA ) );
+ }
+ if ( strideX === 0 ) {
+ throw new RangeError( format( 'invalid argument. Ninth argument must be non-zero. Value: `%d`.', strideX ) );
+ }
+ if ( strideY === 0 ) {
+ throw new RangeError( format( 'invalid argument. Thirteenth argument must be non-zero. Value: `%d`.', strideY ) );
+ }
+ if ( N === 0 || ( alpha === 0.0 && beta === 1.0 ) ) {
+ return y;
+ }
+ if ( beta !== 1.0 ) {
+ if ( beta === 0.0 ) {
+ sfill( N, 0.0, y, strideY, offsetY );
+ } else {
+ sscal( N, beta, y, strideY, offsetY );
+ }
+ }
+ if ( alpha === 0.0 ) {
+ return y;
+ }
+ kx = offsetX;
+ ky = offsetY;
+ if (
+ ( order === 'column-major' && uplo === 'upper' ) ||
+ ( order === 'row-major' && uplo === 'lower' )
+ ) {
+ kplus1 = k;
+ jx = kx;
+ jy = ky;
+ for ( j = 0; j < N; j++ ) {
+ temp1 = f32( alpha * x[ jx ] );
+ temp2 = 0.0;
+ ix = kx;
+ iy = ky;
+ l = kplus1 - j;
+ for ( i = max( 0, j-k ); i < j; i++ ) {
+ y[ iy ] += f32( temp1 * A[ (l+i)+(j*LDA) ] );
+ temp2 = f32( temp2 + f32( A[ (l+i)+(j*LDA) ] * x[ ix ] ) );
+ ix += strideX;
+ iy += strideY;
+ }
+ y[ jy ] += f32( f32( temp1 * A[ kplus1+(LDA*j) ] ) + f32( alpha * temp2 ) ); // eslint-disable-line max-len
+ jx += strideX;
+ jy += strideY;
+ if ( j >= k ) {
+ kx += strideX;
+ ky += strideY;
+ }
+ }
+ return y;
+ }
+ // ( order === 'row-major' && uplo === 'upper') || ( order === 'column-major' && uplo === 'lower' )
+ jx = kx;
+ jy = ky;
+ for ( j = 0; j < N; j++ ) {
+ temp1 = f32( alpha * x[ jx ] );
+ temp2 = 0.0;
+ y[ jy ] += f32( temp1 * A[ LDA * j ] );
+ l = -j;
+ ix = jx;
+ iy = jy;
+ for ( i = j+1; i < min( N, j+k+1 ); i++ ) {
+ ix += strideX;
+ iy += strideY;
+ y[ iy ] += f32( temp1 * A[ (j*LDA)+(l+i) ] );
+ temp2 = f32( temp2 + f32( A[ (j*LDA)+(l+i) ] * x[ ix ] ) );
+ }
+ y[ jy ] += f32( alpha * temp2 );
+ jx += strideX;
+ jy += strideY;
+ }
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = ssbmv;
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/lib/ssbmv.js b/lib/node_modules/@stdlib/blas/base/ssbmv/lib/ssbmv.js
new file mode 100644
index 000000000000..d04a945ad37e
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/lib/ssbmv.js
@@ -0,0 +1,187 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var sfill = require( '@stdlib/blas/ext/base/sfill' );
+var sscal = require( '@stdlib/blas/base/sscal' );
+var max = require( '@stdlib/math/base/special/max' );
+var min = require( '@stdlib/math/base/special/min' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
+var isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' );
+var format = require( '@stdlib/string/format' );
+
+
+// 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 band matrix with `k` super-/sub-diagonals.
+*
+* @param {string} order - storage layout
+* @param {string} uplo - specifies whether the upper or lower triangular part of the symmetric matrix `A` is being supplied
+* @param {NonNegativeInteger} N - number of elements along each dimension of `A`
+* @param {NonNegativeInteger} k - number of super-/sub-diagonals
+* @param {number} alpha - scalar constant
+* @param {Float32Array} A - symmetric band matrix stored in band storage
+* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param {Float32Array} x - first input array
+* @param {integer} strideX - `x` stride length
+* @param {number} beta - scalar constant
+* @param {Float32Array} y - second input array
+* @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} fourth argument must be a nonnegative integer
+* @throws {RangeError} seventh argument must be greater than `k + 1`
+* @throws {RangeError} ninth argument must be non-zero
+* @throws {RangeError} twelfth argument must be non-zero
+* @returns {Float32Array} `y`
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+*
+* var A = new Float32Array( [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ] );
+* var x = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+* var y = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+*
+* ssbmv( 'row-major', 'lower', 3, 1, 1.0, A, 3, x, 1, 0.0, y, 1 );
+* // y => [ ~0.2, ~1.7, ~0.9 ]
+*/
+function ssbmv( order, uplo, N, k, alpha, A, LDA, x, strideX, beta, y, strideY ) { // eslint-disable-line max-params, max-len
+ var kplus1;
+ var temp1;
+ var temp2;
+ var ix;
+ var iy;
+ var jx;
+ var jy;
+ var kx;
+ var ky;
+ var sy;
+ var i;
+ var j;
+ var l;
+
+ if ( !isLayout( order ) ) {
+ throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
+ }
+ if ( !isMatrixTriangle( uplo ) ) {
+ throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
+ }
+ if ( N < 0 ) {
+ throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) );
+ }
+ if ( k < 0 ) {
+ throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', k ) );
+ }
+ if ( LDA < k+1 ) {
+ throw new RangeError( format( 'invalid argument. Seventh argument must be greater than or equal to %d. Value: `%d`.', k+1, LDA ) );
+ }
+ if ( strideX === 0 ) {
+ throw new RangeError( format( 'invalid argument. Ninth 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 ) );
+ }
+ if ( N === 0 || ( alpha === 0.0 && beta === 1.0 ) ) {
+ return y;
+ }
+ sy = strideY;
+ if ( beta !== 1.0 ) {
+ if ( beta === 0.0 ) {
+ sfill( N, 0.0, y, strideY );
+ } else {
+ if ( strideY < 0 ) {
+ sy = -sy;
+ }
+ sscal( N, beta, y, sy );
+ }
+ }
+ if ( alpha === 0.0 ) {
+ return y;
+ }
+ if ( strideX > 0 ) {
+ kx = 0;
+ } else {
+ kx = ( 1 - N ) * strideX;
+ }
+ if ( strideY > 0 ) {
+ ky = 0;
+ } else {
+ ky = ( 1 - N ) * strideY;
+ }
+ if (
+ ( order === 'column-major' && uplo === 'upper' ) ||
+ ( order === 'row-major' && uplo === 'lower' )
+ ) {
+ kplus1 = k;
+ jx = kx;
+ jy = ky;
+ for ( j = 0; j < N; j++ ) {
+ temp1 = f32( alpha * x[ jx ] );
+ temp2 = 0.0;
+ ix = kx;
+ iy = ky;
+ l = kplus1 - j;
+ for ( i = max( 0, j-k ); i < j; i++ ) {
+ y[ iy ] += f32( temp1 * A[ (l+i)+(j*LDA) ] );
+ temp2 = f32( temp2 + f32( A[ (l+i)+(j*LDA) ] * x[ ix ] ) );
+ ix += strideX;
+ iy += strideY;
+ }
+ y[ jy ] += f32( f32( temp1 * A[ kplus1+(LDA*j) ] ) + f32( alpha * temp2 ) ); // eslint-disable-line max-len
+ jx += strideX;
+ jy += strideY;
+ if ( j >= k ) {
+ kx += strideX;
+ ky += strideY;
+ }
+ }
+ return y;
+ }
+ // ( order === 'row-major' && uplo === 'upper') || ( order === 'column-major' && uplo === 'lower' )
+ jx = kx;
+ jy = ky;
+ for ( j = 0; j < N; j++ ) {
+ temp1 = f32( alpha * x[ jx ] );
+ temp2 = 0.0;
+ y[ jy ] += f32( temp1 * A[ LDA*j ] );
+ l = -j;
+ ix = jx;
+ iy = jy;
+ for ( i = j+1; i < min( N, j+k+1 ); i++ ) {
+ ix += strideX;
+ iy += strideY;
+ y[ iy ] += f32( temp1 * A[ (j*LDA)+(l+i) ] );
+ temp2 = f32( temp2 + f32( A[ (j*LDA)+(l+i) ] * x[ ix ] ) );
+ }
+ y[ jy ] += f32( alpha * temp2 );
+ jx += strideX;
+ jy += strideY;
+ }
+ return y;
+}
+
+
+// EXPORTS //
+
+module.exports = ssbmv;
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/package.json b/lib/node_modules/@stdlib/blas/base/ssbmv/package.json
new file mode 100644
index 000000000000..687061e32937
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/package.json
@@ -0,0 +1,68 @@
+{
+ "name": "@stdlib/blas/base/ssbmv",
+ "version": "0.0.0",
+ "description": "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 band matrix with `k` super-/sub-diagonals.",
+ "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",
+ "ssbmv",
+ "linear",
+ "algebra",
+ "subroutines",
+ "array",
+ "ndarray",
+ "float32",
+ "float",
+ "float32array"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xnyn.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xnyn.json
new file mode 100644
index 000000000000..8acf1988e1f2
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xnyn.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "lower",
+ "order": "column-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "lda": 3,
+ "strideX": -1,
+ "offsetX": 2,
+ "strideY": -1,
+ "offsetY": 2,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 2.3, 1.8, 1.3 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xnyp.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xnyp.json
new file mode 100644
index 000000000000..23604647c3a9
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xnyp.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "upper",
+ "order": "column-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 2.0,
+ "beta": 1.0,
+ "lda": 3,
+ "strideX": -1,
+ "offsetX": 2,
+ "strideY": 1,
+ "offsetY": 0,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 2.0, 3.0 ],
+ "y": [ 1.0, 2.0, 3.0 ],
+ "y_out": [ 1.4, 8.2, 6.2 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xoyt.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xoyt.json
new file mode 100644
index 000000000000..b00324c48e65
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xoyt.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "upper",
+ "order": "column-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 2.0,
+ "beta": 1.0,
+ "lda": 3,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": 2,
+ "offsetY": 0,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 2.0, 3.0 ],
+ "y": [ 1.0, 0.0, 2.0, 0.0, 3.0, 0.0 ],
+ "y_out": [ 2.2, 0.0, 9.4, 0.0, 7.0, 0.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xpyn.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xpyn.json
new file mode 100644
index 000000000000..f0be6e8f0597
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xpyn.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "upper",
+ "order": "column-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 2.0,
+ "beta": 1.0,
+ "lda": 3,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": -1,
+ "offsetY": 2,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 2.0, 3.0 ],
+ "y_out": [ 2.8, 5.4, 3.4 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xpyp.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xpyp.json
new file mode 100644
index 000000000000..d0a7b367501f
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/column_major_xpyp.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "lower",
+ "order": "column-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 1.0,
+ "beta": 0.0,
+ "lda": 3,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": 1,
+ "offsetY": 0,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 0.0, 0.0, 0.0 ],
+ "y_out": [ 0.3, 0.8, 1.3 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xnyn.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xnyn.json
new file mode 100644
index 000000000000..9236968974a7
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xnyn.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "lower",
+ "order": "row-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 1.0,
+ "beta": 1.0,
+ "lda": 3,
+ "strideX": -1,
+ "offsetX": 2,
+ "strideY": -1,
+ "offsetY": 2,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 1.0, 1.0 ],
+ "y_out": [ 1.9, 2.7, 1.2 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xnyp.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xnyp.json
new file mode 100644
index 000000000000..b458603866aa
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xnyp.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "upper",
+ "order": "row-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 2.0,
+ "beta": 1.0,
+ "lda": 3,
+ "strideX": -1,
+ "offsetX": 2,
+ "strideY": 1,
+ "offsetY": 0,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 2.0, 3.0 ],
+ "y": [ 1.0, 2.0, 3.0 ],
+ "y_out": [ 3.2, 3.6, 6.8 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xoyt.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xoyt.json
new file mode 100644
index 000000000000..204491cef188
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xoyt.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "upper",
+ "order": "row-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 2.0,
+ "beta": 1.0,
+ "lda": 3,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": 2,
+ "offsetY": 0,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 2.0, 3.0 ],
+ "y": [ 1.0, 0.0, 2.0, 0.0, 3.0, 0.0 ],
+ "y_out": [ 1.2, 0.0, 6.8, 0.0, 9.6, 0.0 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xpyn.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xpyn.json
new file mode 100644
index 000000000000..9edc7f1862c5
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xpyn.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "upper",
+ "order": "row-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 2.0,
+ "beta": 1.0,
+ "lda": 3,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": -1,
+ "offsetY": 2,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 1.0, 2.0, 3.0 ],
+ "y_out": [ 3.6, 3.6, 3.6 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xpyp.json b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xpyp.json
new file mode 100644
index 000000000000..81dc7fb15935
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/fixtures/row_major_xpyp.json
@@ -0,0 +1,17 @@
+{
+ "uplo": "lower",
+ "order": "row-major",
+ "N": 3,
+ "k": 1,
+ "alpha": 1.0,
+ "beta": 0.0,
+ "lda": 3,
+ "strideX": 1,
+ "offsetX": 0,
+ "strideY": 1,
+ "offsetY": 0,
+ "A": [ 0.5, -0.2, 0.1, 0.4, 0.6, -0.3, 0.7, 0.2, -0.8 ],
+ "x": [ 1.0, 1.0, 1.0 ],
+ "y": [ 0.0, 0.0, 0.0 ],
+ "y_out": [ 0.2, 1.7, 0.9 ]
+}
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.js b/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.js
new file mode 100644
index 000000000000..997024f0d260
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.js
@@ -0,0 +1,82 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var proxyquire = require( 'proxyquire' );
+var IS_BROWSER = require( '@stdlib/assert/is-browser' );
+var ssbmv = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+ 'skip': IS_BROWSER
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof ssbmv, '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 ssbmv.ndarray, 'function', 'method is a function' );
+ t.end();
+});
+
+tape( 'if a native implementation is available, the main export is the native implementation', opts, function test( t ) {
+ var ssbmv = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( ssbmv, mock, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return mock;
+ }
+
+ function mock() {
+ // Mock...
+ }
+});
+
+tape( 'if a native implementation is not available, the main export is a JavaScript implementation', opts, function test( t ) {
+ var ssbmv;
+ var main;
+
+ main = require( './../lib/ssbmv.js' );
+
+ ssbmv = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( ssbmv, main, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return new Error( 'Cannot find module' );
+ }
+});
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.ndarray.js b/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.ndarray.js
new file mode 100644
index 000000000000..1f96bf24ed94
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.ndarray.js
@@ -0,0 +1,609 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float32Array = require( '@stdlib/array/float32' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var ones = require( '@stdlib/array/ones' );
+var ssbmv = 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' );
+
+
+// FUNCTIONS //
+
+/**
+* Tests for element-wise approximate equality.
+*
+* @private
+* @param {Object} t - test object
+* @param {Collection} actual - actual values
+* @param {Collection} expected - expected values
+* @param {number} rtol - relative tolerance
+*/
+function isApprox( t, actual, expected, rtol ) {
+ var delta;
+ var tol;
+ var i;
+
+ t.strictEqual( actual.length, expected.length, 'returns expected value' );
+ for ( i = 0; i < expected.length; i++ ) {
+ if ( actual[ i ] === expected[ i ] ) {
+ t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
+ } else {
+ delta = abs( actual[ i ] - expected[ i ] );
+ tol = rtol * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+}
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof ssbmv, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 14', function test( t ) {
+ t.strictEqual( ssbmv.length, 14, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid first argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( value, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY, rxpyp.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid second argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, value, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY, rxpyp.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid third argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, value, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY, rxpyp.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid fourth argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, value, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY, rxpyp.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid seventh argument', function test( t ) {
+ var values;
+ var i;
+
+ values = [
+ 1,
+ 0,
+ -1,
+ -2
+ ];
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), value, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY, rxpyp.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid ninth argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), value, rxpyp.offsetX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY, rxpyp.offsetY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid thirteenth argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, new Float32Array( rxpyp.y ), value, rxpyp.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 band matrix with `k` super-diagonals (row-major, sx=1, sy=1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxpyp.A );
+ x = new Float32Array( rxpyp.x );
+ y = new Float32Array( rxpyp.y );
+
+ expected = new Float32Array( rxpyp.y_out );
+
+ out = ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, y, rxpyp.strideY, rxpyp.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (column-major, sx=1, sy=1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxpyp.A );
+ x = new Float32Array( cxpyp.x );
+ y = new Float32Array( cxpyp.y );
+
+ expected = new Float32Array( cxpyp.y_out );
+
+ out = ssbmv( cxpyp.order, cxpyp.uplo, cxpyp.N, cxpyp.k, cxpyp.alpha, a, cxpyp.lda, x, cxpyp.strideX, cxpyp.offsetX, cxpyp.beta, y, cxpyp.strideY, cxpyp.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (row-major, sx=1, sy=2)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxoyt.A );
+ x = new Float32Array( rxoyt.x );
+ y = new Float32Array( rxoyt.y );
+
+ expected = new Float32Array( rxoyt.y_out );
+
+ out = ssbmv( rxoyt.order, rxoyt.uplo, rxoyt.N, rxoyt.k, rxoyt.alpha, a, rxoyt.lda, x, rxoyt.strideX, rxoyt.offsetX, rxoyt.beta, y, rxoyt.strideY, rxoyt.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (column-major, sx=1, sy=2)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxoyt.A );
+ x = new Float32Array( cxoyt.x );
+ y = new Float32Array( cxoyt.y );
+
+ expected = new Float32Array( cxoyt.y_out );
+
+ out = ssbmv( cxoyt.order, cxoyt.uplo, cxoyt.N, cxoyt.k, cxoyt.alpha, a, cxoyt.lda, x, cxoyt.strideX, cxoyt.offsetX, cxoyt.beta, y, cxoyt.strideY, cxoyt.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (row-major, sx=1, sy=-1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxpyn.A );
+ x = new Float32Array( rxpyn.x );
+ y = new Float32Array( rxpyn.y );
+
+ expected = new Float32Array( rxpyn.y_out );
+
+ out = ssbmv( rxpyn.order, rxpyn.uplo, rxpyn.N, rxpyn.k, rxpyn.alpha, a, rxpyn.lda, x, rxpyn.strideX, rxpyn.offsetX, rxpyn.beta, y, rxpyn.strideY, rxpyn.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (column-major, sx=1, sy=-1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxpyn.A );
+ x = new Float32Array( cxpyn.x );
+ y = new Float32Array( cxpyn.y );
+
+ expected = new Float32Array( cxpyn.y_out );
+
+ out = ssbmv( cxpyn.order, cxpyn.uplo, cxpyn.N, cxpyn.k, cxpyn.alpha, a, cxpyn.lda, x, cxpyn.strideX, cxpyn.offsetX, cxpyn.beta, y, cxpyn.strideY, cxpyn.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (row-major, sx=-1, sy=1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxnyp.A );
+ x = new Float32Array( rxnyp.x );
+ y = new Float32Array( rxnyp.y );
+
+ expected = new Float32Array( rxnyp.y_out );
+
+ out = ssbmv( rxnyp.order, rxnyp.uplo, rxnyp.N, rxnyp.k, rxnyp.alpha, a, rxnyp.lda, x, rxnyp.strideX, rxnyp.offsetX, rxnyp.beta, y, rxnyp.strideY, rxnyp.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (column-major, sx=-1, sy=1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxnyp.A );
+ x = new Float32Array( cxnyp.x );
+ y = new Float32Array( cxnyp.y );
+
+ expected = new Float32Array( cxnyp.y_out );
+
+ out = ssbmv( cxnyp.order, cxnyp.uplo, cxnyp.N, cxnyp.k, cxnyp.alpha, a, cxnyp.lda, x, cxnyp.strideX, cxnyp.offsetX, cxnyp.beta, y, cxnyp.strideY, cxnyp.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function returns a reference to the second input vector', function test( t ) {
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxpyp.A );
+ x = new Float32Array( rxpyp.x );
+ y = new Float32Array( rxpyp.y );
+
+ out = ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, y, rxpyp.strideY, rxpyp.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 out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxpyp.A );
+ x = new Float32Array( rxpyp.x );
+ y = new Float32Array( rxpyp.y );
+
+ expected = new Float32Array( rxpyp.y );
+
+ out = ssbmv( rxpyp.order, rxpyp.uplo, 0, rxpyp.k, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.offsetX, rxpyp.beta, y, rxpyp.strideY, rxpyp.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ out = ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, 0.0, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.offsetX, 1.0, y, rxpyp.strideY, rxpyp.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 out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxpyp.A );
+ x = new Float32Array( cxpyp.x );
+ y = new Float32Array( cxpyp.y );
+
+ expected = new Float32Array( cxpyp.y );
+
+ out = ssbmv( cxpyp.order, cxpyp.uplo, 0, cxpyp.k, cxpyp.alpha, a, cxpyp.lda, x, cxpyp.strideX, cxpyp.offsetX, cxpyp.beta, y, cxpyp.strideY, cxpyp.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ out = ssbmv( cxpyp.order, cxpyp.uplo, cxpyp.N, cxpyp.k, 0.0, a, cxpyp.lda, x, cxpyp.strideX, cxpyp.offsetX, 1.0, y, cxpyp.strideY, cxpyp.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 a;
+ var x;
+ var y;
+
+ a = ones( 9, 'float32' );
+ x = ones( 3, 'float32' );
+ y = ones( 3, 'float32' );
+
+ expected = new Float32Array( [ 5.0, 5.0, 5.0 ] );
+
+ out = ssbmv( 'row-major', 'upper', 3, 1, 0.0, a, 3, x, 1, 0, 5.0, y, 1, 0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ out = ssbmv( 'row-major', 'upper', 3, 1, 0.0, a, 3, 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 a;
+ var x;
+ var y;
+
+ a = ones( 9, 'float32' );
+ x = ones( 3, 'float32' );
+ y = ones( 3, 'float32' );
+
+ expected = new Float32Array( [ 5.0, 5.0, 5.0 ] );
+
+ out = ssbmv( 'row-major', 'lower', 3, 1, 0.0, a, 3, x, 1, 0, 5.0, y, -1, 2 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ out = ssbmv( 'row-major', 'lower', 3, 1, 0.0, a, 3, 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 a;
+ var x;
+ var y;
+
+ a = ones( 9, 'float32' );
+ x = ones( 3, 'float32' );
+ y = ones( 3, 'float32' );
+
+ expected = new Float32Array( [ 5.0, 5.0, 5.0 ] );
+
+ out = ssbmv( 'column-major', 'upper', 3, 1, 0.0, a, 3, x, 1, 0, 5.0, y, 1, 0 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ out = ssbmv( 'column-major', 'upper', 3, 1, 0.0, a, 3, 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 a;
+ var x;
+ var y;
+
+ a = ones( 9, 'float32' );
+ x = ones( 3, 'float32' );
+ y = ones( 3, 'float32' );
+
+ expected = new Float32Array( [ 5.0, 5.0, 5.0 ] );
+
+ out = ssbmv( 'column-major', 'lower', 3, 1, 0.0, a, 3, x, 1, 0, 5.0, y, -1, 2 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ out = ssbmv( 'column-major', 'lower', 3, 1, 0.0, a, 3, 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 out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxnyn.A );
+ x = new Float32Array( rxnyn.x );
+ y = new Float32Array( rxnyn.y );
+
+ expected = new Float32Array( rxnyn.y_out );
+
+ out = ssbmv( rxnyn.order, rxnyn.uplo, rxnyn.N, rxnyn.k, rxnyn.alpha, a, rxnyn.lda, x, rxnyn.strideX, rxnyn.offsetX, rxnyn.beta, y, rxnyn.strideY, rxnyn.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns (column-major)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxnyn.A );
+ x = new Float32Array( cxnyn.x );
+ y = new Float32Array( cxnyn.y );
+
+ expected = new Float32Array( cxnyn.y_out );
+
+ out = ssbmv( cxnyn.order, cxnyn.uplo, cxnyn.N, cxnyn.k, cxnyn.alpha, a, cxnyn.lda, x, cxnyn.strideX, cxnyn.offsetX, cxnyn.beta, y, cxnyn.strideY, cxnyn.offsetY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.ssbmv.js b/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.ssbmv.js
new file mode 100644
index 000000000000..d07fafea229b
--- /dev/null
+++ b/lib/node_modules/@stdlib/blas/base/ssbmv/test/test.ssbmv.js
@@ -0,0 +1,609 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+/* eslint-disable max-len */
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var Float32Array = require( '@stdlib/array/float32' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var ones = require( '@stdlib/array/ones' );
+var ssbmv = require( './../lib/ssbmv.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' );
+
+
+// FUNCTIONS //
+
+/**
+* Tests for element-wise approximate equality.
+*
+* @private
+* @param {Object} t - test object
+* @param {Collection} actual - actual values
+* @param {Collection} expected - expected values
+* @param {number} rtol - relative tolerance
+*/
+function isApprox( t, actual, expected, rtol ) {
+ var delta;
+ var tol;
+ var i;
+
+ t.strictEqual( actual.length, expected.length, 'returns expected value' );
+ for ( i = 0; i < expected.length; i++ ) {
+ if ( actual[ i ] === expected[ i ] ) {
+ t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
+ } else {
+ delta = abs( actual[ i ] - expected[ i ] );
+ tol = rtol * EPS * abs( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+}
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof ssbmv, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 12', function test( t ) {
+ t.strictEqual( ssbmv.length, 12, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function throws an error if provided an invalid first argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( value, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid second argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, value, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid third argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, value, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid fourth argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, value, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid seventh argument', function test( t ) {
+ var values;
+ var i;
+
+ values = [
+ 1,
+ 0,
+ -1,
+ -2
+ ];
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), value, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid ninth argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), value, rxpyp.beta, new Float32Array( rxpyp.y ), rxpyp.strideY );
+ };
+ }
+});
+
+tape( 'the function throws an error if provided an invalid twelfth argument', function test( t ) {
+ var values;
+ var i;
+
+ 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() {
+ ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, new Float32Array( rxpyp.a ), rxpyp.lda, new Float32Array( rxpyp.x ), rxpyp.strideX, rxpyp.beta, new Float32Array( rxpyp.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 band matrix with `k` super-diagonals (row-major, sx=1, sy=1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxpyp.A );
+ x = new Float32Array( rxpyp.x );
+ y = new Float32Array( rxpyp.y );
+
+ expected = new Float32Array( rxpyp.y_out );
+
+ out = ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.beta, y, rxpyp.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (column-major, sx=1, sy=1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxpyp.A );
+ x = new Float32Array( cxpyp.x );
+ y = new Float32Array( cxpyp.y );
+
+ expected = new Float32Array( cxpyp.y_out );
+
+ out = ssbmv( cxpyp.order, cxpyp.uplo, cxpyp.N, cxpyp.k, cxpyp.alpha, a, cxpyp.lda, x, cxpyp.strideX, cxpyp.beta, y, cxpyp.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (row-major, sx=1, sy=2)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxoyt.A );
+ x = new Float32Array( rxoyt.x );
+ y = new Float32Array( rxoyt.y );
+
+ expected = new Float32Array( rxoyt.y_out );
+
+ out = ssbmv( rxoyt.order, rxoyt.uplo, rxoyt.N, rxoyt.k, rxoyt.alpha, a, rxoyt.lda, x, rxoyt.strideX, rxoyt.beta, y, rxoyt.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (column-major, sx=1, sy=2)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxoyt.A );
+ x = new Float32Array( cxoyt.x );
+ y = new Float32Array( cxoyt.y );
+
+ expected = new Float32Array( cxoyt.y_out );
+
+ out = ssbmv( cxoyt.order, cxoyt.uplo, cxoyt.N, cxoyt.k, cxoyt.alpha, a, cxoyt.lda, x, cxoyt.strideX, cxoyt.beta, y, cxoyt.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (row-major, sx=1, sy=-1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxpyn.A );
+ x = new Float32Array( rxpyn.x );
+ y = new Float32Array( rxpyn.y );
+
+ expected = new Float32Array( rxpyn.y_out );
+
+ out = ssbmv( rxpyn.order, rxpyn.uplo, rxpyn.N, rxpyn.k, rxpyn.alpha, a, rxpyn.lda, x, rxpyn.strideX, rxpyn.beta, y, rxpyn.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (column-major, sx=1, sy=-1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxpyn.A );
+ x = new Float32Array( cxpyn.x );
+ y = new Float32Array( cxpyn.y );
+
+ expected = new Float32Array( cxpyn.y_out );
+
+ out = ssbmv( cxpyn.order, cxpyn.uplo, cxpyn.N, cxpyn.k, cxpyn.alpha, a, cxpyn.lda, x, cxpyn.strideX, cxpyn.beta, y, cxpyn.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (row-major, sx=-1, sy=1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxnyp.A );
+ x = new Float32Array( rxnyp.x );
+ y = new Float32Array( rxnyp.y );
+
+ expected = new Float32Array( rxnyp.y_out );
+
+ out = ssbmv( rxnyp.order, rxnyp.uplo, rxnyp.N, rxnyp.k, rxnyp.alpha, a, rxnyp.lda, x, rxnyp.strideX, rxnyp.beta, y, rxnyp.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ 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 band matrix with `k` super-diagonals (column-major, sx=-1, sy=1)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxnyp.A );
+ x = new Float32Array( cxnyp.x );
+ y = new Float32Array( cxnyp.y );
+
+ expected = new Float32Array( cxnyp.y_out );
+
+ out = ssbmv( cxnyp.order, cxnyp.uplo, cxnyp.N, cxnyp.k, cxnyp.alpha, a, cxnyp.lda, x, cxnyp.strideX, cxnyp.beta, y, cxnyp.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function returns a reference to the second input vector', function test( t ) {
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxpyp.A );
+ x = new Float32Array( rxpyp.x );
+ y = new Float32Array( rxpyp.y );
+
+ out = ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.beta, y, rxpyp.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 out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxpyp.A );
+ x = new Float32Array( rxpyp.x );
+ y = new Float32Array( rxpyp.y );
+
+ expected = new Float32Array( rxpyp.y );
+
+ out = ssbmv( rxpyp.order, rxpyp.uplo, 0, rxpyp.k, rxpyp.alpha, a, rxpyp.lda, x, rxpyp.strideX, rxpyp.beta, y, rxpyp.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ out = ssbmv( rxpyp.order, rxpyp.uplo, rxpyp.N, rxpyp.k, 0.0, a, rxpyp.lda, x, rxpyp.strideX, 1.0, y, rxpyp.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 out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxpyp.A );
+ x = new Float32Array( cxpyp.x );
+ y = new Float32Array( cxpyp.y );
+
+ expected = new Float32Array( cxpyp.y );
+
+ out = ssbmv( cxpyp.order, cxpyp.uplo, 0, cxpyp.k, cxpyp.alpha, a, cxpyp.lda, x, cxpyp.strideX, cxpyp.beta, y, cxpyp.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ out = ssbmv( cxpyp.order, cxpyp.uplo, cxpyp.N, cxpyp.k, 0.0, a, cxpyp.lda, x, cxpyp.strideX, 1.0, y, cxpyp.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 a;
+ var x;
+ var y;
+
+ a = ones( 9, 'float32' );
+ x = ones( 3, 'float32' );
+ y = ones( 3, 'float32' );
+
+ expected = new Float32Array( [ 5.0, 5.0, 5.0 ] );
+
+ out = ssbmv( 'row-major', 'upper', 3, 1, 0.0, a, 3, x, 1, 5.0, y, 1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ out = ssbmv( 'row-major', 'upper', 3, 1, 0.0, a, 3, 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 a;
+ var x;
+ var y;
+
+ a = ones( 9, 'float32' );
+ x = ones( 3, 'float32' );
+ y = ones( 3, 'float32' );
+
+ expected = new Float32Array( [ 5.0, 5.0, 5.0 ] );
+
+ out = ssbmv( 'row-major', 'lower', 3, 1, 0.0, a, 3, x, 1, 5.0, y, -1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ out = ssbmv( 'row-major', 'lower', 3, 1, 0.0, a, 3, 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 a;
+ var x;
+ var y;
+
+ a = ones( 9, 'float32' );
+ x = ones( 3, 'float32' );
+ y = ones( 3, 'float32' );
+
+ expected = new Float32Array( [ 5.0, 5.0, 5.0 ] );
+
+ out = ssbmv( 'column-major', 'upper', 3, 1, 0.0, a, 3, x, 1, 5.0, y, 1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ out = ssbmv( 'column-major', 'upper', 3, 1, 0.0, a, 3, 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 a;
+ var x;
+ var y;
+
+ a = ones( 9, 'float32' );
+ x = ones( 3, 'float32' );
+ y = ones( 3, 'float32' );
+
+ expected = new Float32Array( [ 5.0, 5.0, 5.0 ] );
+
+ out = ssbmv( 'column-major', 'lower', 3, 1, 0.0, a, 3, x, 1, 5.0, y, -1 );
+ t.strictEqual( out, y, 'returns expected value' );
+ t.deepEqual( y, expected, 'returns expected value' );
+
+ expected = new Float32Array( [ 0.0, 0.0, 0.0 ] );
+
+ out = ssbmv( 'column-major', 'lower', 3, 1, 0.0, a, 3, 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 out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( rxnyn.A );
+ x = new Float32Array( rxnyn.x );
+ y = new Float32Array( rxnyn.y );
+
+ expected = new Float32Array( rxnyn.y_out );
+
+ out = ssbmv( rxnyn.order, rxnyn.uplo, rxnyn.N, rxnyn.k, rxnyn.alpha, a, rxnyn.lda, x, rxnyn.strideX, rxnyn.beta, y, rxnyn.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ t.end();
+});
+
+tape( 'the function supports complex access patterns (column-major)', function test( t ) {
+ var expected;
+ var out;
+ var a;
+ var x;
+ var y;
+
+ a = new Float32Array( cxnyn.A );
+ x = new Float32Array( cxnyn.x );
+ y = new Float32Array( cxnyn.y );
+
+ expected = new Float32Array( cxnyn.y_out );
+
+ out = ssbmv( cxnyn.order, cxnyn.uplo, cxnyn.N, cxnyn.k, cxnyn.alpha, a, cxnyn.lda, x, cxnyn.strideX, cxnyn.beta, y, cxnyn.strideY );
+ t.strictEqual( out, y, 'returns expected value' );
+ isApprox( t, y, expected, 2.0 );
+
+ t.end();
+});