diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/README.md b/lib/node_modules/@stdlib/lapack/base/dlasv2/README.md new file mode 100644 index 000000000000..59fe5266d112 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/README.md @@ -0,0 +1,262 @@ + + +# dlasv2 + +> Compute the singular value decomposition of a 2x2 upper triangular matrix. + +
+ +The singular value decomposition of a 2x2 upper triangular matrix $ A = \begin{bmatrix} F & G \\ 0 & H \end{bmatrix}$ is given by + + + +```math +\left[\begin{array}{rr}\mathrm{CSL} & \mathrm{SNL} \\ +-\mathrm{SNL} & \mathrm{CSL}\end{array}\right] + +\left[\begin{array}{rr}F & G \\ +0 & H\end{array}\right] + +\left[\begin{array}{rr}\mathrm{CSR} & -\mathrm{SNR} \\ +\mathrm{SNR} & \mathrm{CSR}\end{array}\right] + += + +\left[\begin{array}{rr}\mathrm{SSMAX} & 0 \\ +0 & \mathrm{SSMIN}\end{array}\right] +``` + + + +where `CSL`,`SNL`,`CSR`,`SNR` define orthogonal rotations and $\mathrm{SSMAX}^2, \mathrm{SSMIN}^2$ are the eigenvalues of $A^{T}A$. + +
+ + + +
+ +## Usage + +```javascript +var dlasv2 = require( '@stdlib/lapack/base/dlasv2' ); +``` + +#### dlasv2( F, G, H, out ) + +Computes the singular value decomposition of a 2x2 upper triangular matrix. + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); +var out = new Float64Array( 6 ); + +var v = dlasv2( 2.0, 3.0, 4.0, out ); +// returns [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] + +var bool = ( v === out ); +// returns true +``` + +The function has the following parameters: + +- **F**: the (0,0) element of matrix. +- **G**: the (0,1) element of matrix. +- **H**: the (1,1) element of matrix. +- **out**: [`Float64Array`][@stdlib/array/float64] output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, and `CSL` respectively. + +On return, `abs(SSMAX)` is the larger singular value, `abs(SSMIN)` is the smaller singular value, and (`CSL`,`SNL`) and (`CSR`,`SNR`) are the left and right singular vectors for `abs(SSMAX)` as described in the decomposition. + +Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. + + + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +// Initial arrays... +var OUT0 = new Float64Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + +// Create offset views... +var OUT1 = new Float64Array( OUT0.buffer, OUT0.BYTES_PER_ELEMENT*1 ); // start at 2nd element + +dlasv2( 2.0, 3.0, 4.0, OUT1 ); +// OUT0 => [ 0.0, ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +``` + +#### dlasv2.ndarray( F, G, H, out, strideOut, offsetOut ) + +Computes the singular value decomposition of a 2x2 upper triangular matrix using alternative indexing semantics. + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); +var out = new Float64Array( 6 ); + +dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 ); +// out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +``` + +The function has the following additional parameters: + +- **strideOut**: stride length for `Out`. +- **offsetOut**: starting index for `Out`. + +While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, + + + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); +var out = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] ); + +dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, 1 ); +// out => [ 0.0, ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +``` + +
+ + + +
+ +## Notes + +- `dlasv2()` corresponds to the [LAPACK][LAPACK] routine [`dlasv2`][lapack-dlasv2]. + +
+ + + +
+ +## Examples + + + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); +var dlasv2 = require( '@stdlib/lapack/base/dlasv2' ); + +var out = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] ); + +dlasv2( 1.0, 1e6, 2.0, out ); +console.log( out ); + +dlasv2.ndarray( 1.0, 1e6, 2.0, out, 1, 0 ); +console.log( out ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +TODO +``` + +#### TODO + +TODO. + +```c +TODO +``` + +TODO + +```c +TODO +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +TODO +``` + +
+ + + +
+ + + + + + + + + + + + + + diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/benchmark/benchmark.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/benchmark/benchmark.js new file mode 100644 index 000000000000..1ec202f960e8 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/benchmark/benchmark.js @@ -0,0 +1,69 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var Float64Array = require( '@stdlib/array/float64' ); +var format = require( '@stdlib/string/format' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var dlasv2 = require( './../lib/dlasv2.js' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float64' +}; + + +// MAIN // + +bench( format( '%s', pkg ), function benchmark( b ) { + var out; + var N; + var f; + var g; + var h; + var i; + + N = 100; + f = uniform( N, -500.0, 500.0, options ); + g = uniform( N, -500.0, 500.0, options ); + h = uniform( N, -500.0, 500.0, options ); + + out = new Float64Array( 6 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + dlasv2( f[ i%f.length ], g[ i%g.length ], h[ i%h.length ], out ); + if ( isnan( out[ i%out.length ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( out[ i%out.length ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/benchmark/benchmark.ndarray.js new file mode 100644 index 000000000000..b309bc51a4a2 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/benchmark/benchmark.ndarray.js @@ -0,0 +1,69 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var Float64Array = require( '@stdlib/array/float64' ); +var format = require( '@stdlib/string/format' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var dlasv2 = require( './../lib/ndarray.js' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float64' +}; + + +// MAIN // + +bench( format( '%s:ndarray', pkg ), function benchmark( b ) { + var out; + var N; + var f; + var g; + var h; + var i; + + N = 100; + f = uniform( N, -500.0, 500.0, options ); + g = uniform( N, -500.0, 500.0, options ); + h = uniform( N, -500.0, 500.0, options ); + + out = new Float64Array( 6 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + dlasv2( f[ i%f.length ], g[ i%g.length ], h[ i%h.length ], out, 1, 0 ); + if ( isnan( out[ i%out.length ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( out[ i%out.length ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/repl.txt b/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/repl.txt new file mode 100644 index 000000000000..2d7095b4e433 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/repl.txt @@ -0,0 +1,113 @@ + +{{alias}}( F, G, H, out ) + Computes the singular value decomposition of a 2x2 upper triangular matrix. + + Indexing is relative to the first index. To introduce an offset, use typed + array views. + + Parameters + ---------- + F: number + The (0,0) element of matrix. + + G: number + The (0,1) element of matrix. + + H: number + The (1,1) element of matrix. + + out: Float64Array + Output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, and + `CSL` respectively. + + Returns + ------- + out: Float64Array + Output array. + + Note that on return, `abs(SSMAX)` is the larger singular value, + `abs(SSMIN)` is the smaller singular value, and (`CSL`,`SNL`) + and (`CSR`,`SNR`) are the left and right singular vectors for + `abs(SSMAX)`. + + Examples + -------- + > var out = new {{alias:@stdlib/array/float64}}( 6 ); + > {{alias}}( 2.0, 3.0, 4.0, out ); + > out[ 0 ] + ~1.5513 + > out[ 1 ] + ~5.1569 + > out[ 2 ] + ~0.9665 + > out[ 3 ] + ~0.2567 + > out[ 4 ] + ~0.7497 + > out[ 5 ] + ~0.6618 + + +{{alias}}.ndarray( F, G, H, out, strideOut, offsetOut ) + Computes the singular value decomposition of a 2x2 upper triangular + matrix using alternative indexing semantics. + + Note that on return, `abs(SSMAX)` is the larger singular value, + `abs(SSMIN)` is the smaller singular value, and (`CSL`,`SNL`) + and (`CSR`,`SNR`) are the left and right singular vectors for + `abs(SSMAX)`. + + While typed array views mandate a view offset based on the underlying + buffer, the offset parameter support indexing semantics based on + a starting index. + + Parameters + ---------- + F: number + The (0,0) element of matrix. + + G: number + The (0,1) element of matrix. + + H: number + The (1,1) element of matrix. + + out: Float64Array + Output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, + and `CSL` respectively. + + strideOut: integer + Stride length for `Out`. + + offsetOut: integer + Starting index for `Out`. + + Returns + ------- + out: Float64Array + Output array. + + Note that on return, `abs(SSMAX)` is the larger singular value, + `abs(SSMIN)` is the smaller singular value, and (`CSL`,`SNL`) + and (`CSR`,`SNR`) are the left and right singular vectors for + `abs(SSMAX)`. + + Examples + -------- + > var out = new {{alias:@stdlib/array/float64}}( 6 ); + > {{alias}}.ndarray( 2.0, 3.0, 4.0, out, 1, 0 ); + > out[ 0 ] + ~1.5513 + > out[ 1 ] + ~5.1569 + > out[ 2 ] + ~0.9665 + > out[ 3 ] + ~0.2567 + > out[ 4 ] + ~0.7497 + > out[ 5 ] + ~0.6618 + + See Also + -------- diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/types/index.d.ts b/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/types/index.d.ts new file mode 100644 index 000000000000..d40b45104f42 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/types/index.d.ts @@ -0,0 +1,116 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/// + +/** +* Interface describing `dlasv2`. +*/ +interface Routine { + /** + * Computes the singular value decomposition of a 2x2 upper triangular matrix. + * + * ## Notes + * + * - `abs(SSMAX)` is the larger singular value. + * - `abs(SSMIN)` is the smaller singular value. + * - (`CSL`,`SNL`) and (`CSR`,`SNR`) are the left and right singular vectors for `abs(SSMAX)`. + * + * @param F - the (0,0) element of matrix + * @param G - the (0,1) element of matrix + * @param H - the (1,1) element of matrix + * @param out - output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, and `CSL` respectively + * @returns output array + * + * @example + * var Float64Array = require( '@stdlib/array/float64' ); + * + * var out = new Float64Array( 6 ); + * + * dlasv2( 2.0, 3.0, 4.0, out ); + * // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] + */ + ( F: number, G: number, H: number, out: Float64Array ): Float64Array; + + /** + * Computes the singular value decomposition of a 2x2 upper triangular matrix using alternative indexing semantics. + * + * ## Notes + * + * - `abs(SSMAX)` is the larger singular value. + * - `abs(SSMIN)` is the smaller singular value. + * - (`CSL`,`SNL`) and (`CSR`,`SNR`) are the left and right singular vectors for `abs(SSMAX)`. + * + * @param F - the (0,0) element of matrix + * @param G - the (0,1) element of matrix + * @param H - the (1,1) element of matrix + * @param out - output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, and `CSL` respectively + * @param strideOut - stride length for `out` + * @param offsetOut - starting index of `out` + * @returns output array + * + * @example + * var Float64Array = require( '@stdlib/array/float64' ); + * + * var out = new Float64Array( 6 ); + * + * dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 ); + * // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] + */ + ndarray( F: number, G: number, H: number, out: Float64Array, strideOut: number, offsetOut: number ): Float64Array; +} + +/** +* Computes the singular value decomposition of a 2x2 upper triangular matrix. +* +* ## Notes +* +* - `abs(SSMAX)` is the larger singular value. +* - `abs(SSMIN)` is the smaller singular value. +* - (`CSL`,`SNL`) and (`CSR`,`SNR`) are the left and right singular vectors for `abs(SSMAX)`. +* +* @param F - the (0,0) element of matrix +* @param G - the (0,1) element of matrix +* @param H - the (1,1) element of matrix +* @param out - output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, and `CSL` respectively +* @returns output array +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var out = new Float64Array( 6 ); +* +* dlasv2( 2.0, 3.0, 4.0, out ); +* // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var out = new Float64Array( 6 ); +* +* dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 ); +* // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +*/ +declare var dlasv2: Routine; + + +// EXPORTS // + +export = dlasv2; diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/types/test.ts b/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/types/test.ts new file mode 100644 index 000000000000..1adfd989e517 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/docs/types/test.ts @@ -0,0 +1,200 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import dlasv2 = require( './index' ); + + +// TESTS // + +// The function returns a Float64Array... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2( 2.0, 3.0, 4.0, out ); // $ExpectType Float64Array +} + +// The compiler throws an error if the function is provided a first argument which is not a number... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2( '5', 3.0, 4.0, out ); // $ExpectError + dlasv2( true, 3.0, 4.0, out ); // $ExpectError + dlasv2( false, 3.0, 4.0, out ); // $ExpectError + dlasv2( null, 3.0, 4.0, out ); // $ExpectError + dlasv2( void 0, 3.0, 4.0, out ); // $ExpectError + dlasv2( [], 3.0, 4.0, out ); // $ExpectError + dlasv2( {}, 3.0, 4.0, out ); // $ExpectError + dlasv2( ( x: number ): number => x, 3.0, 4.0, out ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a number... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2( 2.0, '5', 4.0, out ); // $ExpectError + dlasv2( 2.0, true, 4.0, out ); // $ExpectError + dlasv2( 2.0, false, 4.0, out ); // $ExpectError + dlasv2( 2.0, null, 4.0, out ); // $ExpectError + dlasv2( 2.0, void 0, 4.0, out ); // $ExpectError + dlasv2( 2.0, [], 4.0, out ); // $ExpectError + dlasv2( 2.0, {}, 4.0, out ); // $ExpectError + dlasv2( 2.0, ( x: number ): number => x, 4.0, out ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2( 2.0, 3.0, '5', out ); // $ExpectError + dlasv2( 2.0, 3.0, true, out ); // $ExpectError + dlasv2( 2.0, 3.0, false, out ); // $ExpectError + dlasv2( 2.0, 3.0, null, out ); // $ExpectError + dlasv2( 2.0, 3.0, void 0, out ); // $ExpectError + dlasv2( 2.0, 3.0, [], out ); // $ExpectError + dlasv2( 2.0, 3.0, {}, out ); // $ExpectError + dlasv2( 2.0, 3.0, ( x: number ): number => x, out ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a Float64Array... +{ + + dlasv2( 2.0, 3.0, 4.0, '5' ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, 5 ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, true ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, false ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, null ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, void 0 ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, [] ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, {} ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2(); // $ExpectError + dlasv2( 2.0 ); // $ExpectError + dlasv2( 2.0, 3.0 ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0 ); // $ExpectError + dlasv2( 2.0, 3.0, 4.0, out, 10 ); // $ExpectError +} + +// Attached to main export is an `ndarray` method which returns a Float64Array... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 ); // $ExpectType Float64Array +} + +// The compiler throws an error if the function is provided a first argument which is not a number... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2.ndarray( '5', 3.0, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( true, 3.0, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( false, 3.0, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( null, 3.0, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( void 0, 3.0, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( [], 3.0, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( {}, 3.0, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( ( x: number ): number => x, 3.0, 4.0, out, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a number... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2.ndarray( 2.0, '5', 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, true, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, false, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, null, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, void 0, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, [], 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, {}, 4.0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, ( x: number ): number => x, 4.0, out, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2.ndarray( 2.0, 3.0, '5', out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, true, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, false, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, null, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, void 0, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, [], out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, {}, out, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, ( x: number ): number => x, out, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a Float64Array... +{ + + dlasv2.ndarray( 2.0, 3.0, 4.0, '5', 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, 5, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, true, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, false, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, null, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, void 0, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, [], 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, {}, 1, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, ( x: number ): number => x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a number... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2.ndarray( 2.0, 3.0, 4.0, out, '5', 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, true, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, false, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, null, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, void 0, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, [], 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, {}, 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, ( x: number ): number => x, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a number... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, '5' ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, true ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, false ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, null ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, void 0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, [] ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, {} ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments... +{ + const out = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + + dlasv2.ndarray(); // $ExpectError + dlasv2.ndarray( 2.0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1 ); // $ExpectError + dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, 0, 10 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/examples/index.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/examples/index.js new file mode 100644 index 000000000000..2cfba28f0ae6 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/examples/index.js @@ -0,0 +1,30 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var Float64Array = require( '@stdlib/array/float64' ); +var dlasv2 = require( './../lib/' ); + +var out = new Float64Array( 6 ); + +dlasv2( 1.0, 1e6, 2.0, out ); +console.log( out ); + +dlasv2.ndarray( 1.0, 1e6, 2.0, out, 1, 0 ); +console.log( out ); diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/base.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/base.js new file mode 100644 index 000000000000..e97cf89473d3 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/base.js @@ -0,0 +1,245 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* eslint-disable max-statements */ + +'use strict'; + +// MODULES // + +var dlamch = require( '@stdlib/lapack/base/dlamch' ); +var sqrt = require( '@stdlib/math/base/special/sqrt' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var copysign = require( '@stdlib/math/base/special/copysign' ); + + +// VARIABLES // + +var EPS = dlamch( 'E' ); + + +// MAIN // + +/** +* Computes the singular value decomposition of a 2x2 upper triangular matrix. +* +* ## Notes +* +* - `abs(SSMAX)` is the larger singular value. +* - `abs(SSMIN)` is the smaller singular value. +* - (`CSL`,`SNL`) and (`CSR`,`SNR`) are the left and right singular vectors for `abs(SSMAX)`. +* +* @private +* @param {number} F - the (0,0) element of matrix +* @param {number} G - the (0,1) element of matrix +* @param {number} H - the (1,1) element of matrix +* @param {Float64Array} out - output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, and `CSL` respectively +* @param {integer} strideOut - stride length for `out` +* @param {NonNegativeInteger} offsetOut - starting index of `out` +* @returns {Float64Array} output array +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var out = new Float64Array( 6 ); +* +* dlasv2( 2.0, 3.0, 4.0, out, 1, 0 ); +* // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +*/ +function dlasv2( F, G, H, out, strideOut, offsetOut ) { + var gasmal; + var ssmin; + var ssmax; + var tsign; + var PMAX; + var swap; + var clt; + var crt; + var csl; + var csr; + var idx; + var slt; + var snl; + var snr; + var srt; + var tmp; + var fa; + var ft; + var ga; + var gt; + var ha; + var ht; + var mm; + var tt; + var a; + var d; + var l; + var m; + var r; + var s; + var t; + + ft = F; + fa = abs( ft ); + ht = H; + ha = abs( ht ); + + /* + * PMAX points to the maximum absolute element of the matrix. + * + * PMAX = 1 if F is the largest in absolute value + * PMAX = 2 if G is the largest in absolute value + * PMAX = 3 if H is the largest in absolute value + */ + PMAX = 1; + swap = ha > fa; + if ( swap ) { + PMAX = 3; + tmp = ft; + ft = ht; + ht = tmp; + tmp = fa; + fa = ha; + ha = tmp; + + // Now FA >= HA + } + gt = G; + ga = abs( gt ); + if ( ga === 0.0 ) { + // Diagonal matrix + ssmin = ha; + ssmax = fa; + clt = 1.0; + crt = 1.0; + slt = 0.0; + srt = 0.0; + } else { + gasmal = true; + if ( ga > fa ) { + PMAX = 2; + if ( ( fa / ga ) < EPS ) { + // Case of very large GA + gasmal = false; + ssmax = ga; + if ( ha > 1.0 ) { + ssmin = fa / ( ga / ha ); + } else { + ssmin = ( fa / ga ) * ha; + } + clt = 1.0; + slt = ht / gt; + srt = 1.0; + crt = ft / gt; + } + } + if ( gasmal === true ) { + // Normal case + d = fa - ha; + if ( d === fa ) { + // Copes with infinite F or H + l = 1.0; + } else { + l = d / fa; + } + + // Note that 0 < l < 1 + m = gt / ft; + + // Note that abs( m ) < 1 / macheps + t = 2.0 - l; + + // Note that T > 1 + mm = m * m; + tt = t * t; + s = sqrt( tt + mm ); + + // Note that 1 < S < 1 + 1 / macheps + if ( l === 0.0 ) { + r = abs( m ); + } else { + r = sqrt( ( l * l ) + mm ); + } + + // Note that 0 < R < 1 + 1 / macheps + a = 0.5 * ( s + r); + + // Note that 1 < A < 1 + abs( m ) + ssmin = ha / a; + ssmax = fa * a; + if ( mm === 0.0 ) { + // Note that M is very tiny + if ( l === 0.0 ) { + t = copysign( 2.0, ft ) * copysign( 1.0, gt ); + } else { + t = ( ( gt / copysign( d, ft ) ) + ( m / t ) ); + } + } else { + t = ( ( m / ( s + t ) ) + ( m / ( r + l ) ) ) * ( 1.0 + a ); + } + l = sqrt( ( t * t ) + 4.0 ); + crt = 2.0 / l; + srt = t / l; + clt = ( crt + ( srt * m ) ) / a; + slt = ( ht / ft ) * ( srt / a ); + } + } + if ( swap ) { + csl = srt; + snl = crt; + csr = slt; + snr = clt; + } else { + csl = clt; + snl = slt; + csr = crt; + snr = srt; + } + + // Correct signs of ssmax and ssmin + if ( PMAX === 1 ) { + tsign = copysign( 1.0, csr ) * copysign( 1.0, csl ) * copysign( 1.0, F ); + } + if ( PMAX === 2 ) { + tsign = copysign( 1.0, snr ) * copysign( 1.0, csl ) * copysign( 1.0, G ); + } + if ( PMAX === 3 ) { + tsign = copysign( 1.0, snr ) * copysign( 1.0, snl ) * copysign( 1.0, H ); + } + ssmax = copysign( ssmax, tsign ); + ssmin = copysign( ssmin, tsign * copysign( 1.0, F ) * copysign( 1.0, H ) ); + + idx = offsetOut; + out[ idx ] = ssmin; + idx += strideOut; + out[ idx ] = ssmax; + idx += strideOut; + out[ idx ] = snr; + idx += strideOut; + out[ idx ] = csr; + idx += strideOut; + out[ idx ] = snl; + idx += strideOut; + out[ idx ] = csl; + return out; +} + + +// EXPORTS // + +module.exports = dlasv2; diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/dlasv2.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/dlasv2.js new file mode 100644 index 000000000000..e19ebb9a93b8 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/dlasv2.js @@ -0,0 +1,58 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var base = require( './base.js' ); + + +// MAIN // + +/** +* Computes singular value decomposition of a 2x2 upper triangular matrix. +* +* ## Notes +* +* - `abs(SSMAX)` is the larger singular value. +* - `abs(SSMIN)` is the smaller singular value. +* - (`CSL`,`SNL`) and (`CSR`,`SNR`) are the left and right singular vectors for `abs(SSMAX)`. +* +* @param {number} F - the (0,0) element of matrix +* @param {number} G - the (0,1) element of matrix +* @param {number} H - the (1,1) element of matrix +* @param {Float64Array} out - output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, and `CSL` respectively +* @returns {Float64Array} output array +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var out = new Float64Array( 6 ); +* +* dlasv2( 2.0, 3.0, 4.0, out ); +* // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +*/ +function dlasv2( F, G, H, out ) { + return base( F, G, H, out, 1, 0 ); +} + + +// EXPORTS // + +module.exports = dlasv2; diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/index.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/index.js new file mode 100644 index 000000000000..60bd4a5a4263 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/index.js @@ -0,0 +1,66 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* LAPACK routine to compute the singular value decomposition of a 2x2 upper triangular matrix. +* +* @module @stdlib/lapack/base/dlasv2 +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* var dlasv2 = require( '@stdlib/lapack/base/dlasv2' ); +* +* var out = new Float64Array( 6 ); +* +* dlasv2( 2.0, 3.0, 4.0, out ); +* // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* var dlasv2 = require( '@stdlib/lapack/base/dlasv2' ); +* +* var out = new Float64Array( 6 ); +* +* dlasv2.ndarray( 2.0, 3.0, 4.0, out, 1, 0 ); +* // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +*/ + +// 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 dlasv2; +var tmp = tryRequire( join( __dirname, './native.js' ) ); +if ( isError( tmp ) ) { + dlasv2 = main; +} else { + dlasv2 = tmp; +} + + +// EXPORTS // + +module.exports = dlasv2; diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/main.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/main.js new file mode 100644 index 000000000000..79357225880a --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/main.js @@ -0,0 +1,35 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var dlasv2 = require( './dlasv2.js' ); +var ndarray = require( './ndarray.js' ); + + +// MAIN // + +setReadOnly( dlasv2, 'ndarray', ndarray ); + + +// EXPORTS // + +module.exports = dlasv2; diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/ndarray.js new file mode 100644 index 000000000000..ec346777c7fa --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/lib/ndarray.js @@ -0,0 +1,60 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var base = require( './base.js' ); + + +// MAIN // + +/** +* Computes the singular value decomposition of a 2x2 upper triangular matrix using alternative indexing semantics. +* +* ## Notes +* +* - `abs(SSMAX)` is the larger singular value. +* - `abs(SSMIN)` is the smaller singular value. +* - (`CSL`,`SNL`) and (`CSR`,`SNR`) are the left and right singular vectors for `abs(SSMAX)`. +* +* @param {number} F - the (0,0) element of matrix +* @param {number} G - the (0,1) element of matrix +* @param {number} H - the (1,1) element of matrix +* @param {Float64Array} out - output array containing `SSMIN`, `SSMAX`, `SNR`, `CSR`, `SNL`, and `CSL` respectively +* @param {integer} strideOut - stride length for `out` +* @param {NonNegativeInteger} offsetOut - starting index of `out` +* @returns {Float64Array} output array +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var out = new Float64Array( 6 ); +* +* out = dlasv2( 2.0, 3.0, 4.0, out, 1, 0 ); +* // out => [ ~1.5513, ~5.1569, ~0.9665, ~0.2567, ~0.7497, ~0.6618 ] +*/ +function dlasv2( F, G, H, out, strideOut, offsetOut ) { + return base( F, G, H, out, strideOut, offsetOut ); +} + + +// EXPORTS // + +module.exports = dlasv2; diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/package.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/package.json new file mode 100644 index 000000000000..df04f78241e7 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/package.json @@ -0,0 +1,72 @@ +{ + "name": "@stdlib/lapack/base/dlasv2", + "version": "0.0.0", + "description": "Compute the singular value decomposition of a 2x2 upper triangular matrix.", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "lib": "./lib", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "lapack", + "svd", + "decomposition", + "dlasv2", + "exchange", + "permute", + "permutedims", + "linear", + "algebra", + "subroutines", + "array", + "ndarray", + "float64", + "double", + "float64array" + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/decreasing_order_elements.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/decreasing_order_elements.json new file mode 100644 index 000000000000..35409522867c --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/decreasing_order_elements.json @@ -0,0 +1,15 @@ +{ + "F": 4.0, + "G": 3.0, + "H": 2.0, + "strideOut": 1, + "offsetOut": 0, + "out": [ + 1.5513263285176897, + 5.1568776039816795, + 0.6618025632357402, + 0.7496781758158659, + 0.25666793515702424, + 0.9664996487646696 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/diagonal_matrix.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/diagonal_matrix.json new file mode 100644 index 000000000000..814517855e8e --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/diagonal_matrix.json @@ -0,0 +1,15 @@ +{ + "F": 2.0, + "G": 0.0, + "H": -12.0, + "strideOut": 1, + "offsetOut": 0, + "out": [ + 2.0, + -12.0, + 1.0, + 0.0, + 1.0, + 0.0 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/g_gt_f_and_h.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/g_gt_f_and_h.json new file mode 100644 index 000000000000..44ff548c100a --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/g_gt_f_and_h.json @@ -0,0 +1,15 @@ +{ + "F": 4.0, + "G": 5.0, + "H": 2.0, + "strideOut": 1, + "offsetOut": 0, + "out": [ + 1.2125424343860751, + 6.597707241520579, + 0.8090383403577232, + 0.5877558709457702, + 0.2452483296822559, + 0.9694602914962858 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/increasing_order_elements.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/increasing_order_elements.json new file mode 100644 index 000000000000..9925344bda65 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/increasing_order_elements.json @@ -0,0 +1,15 @@ +{ + "F": 2.0, + "G": 3.0, + "H": 4.0, + "strideOut": 1, + "offsetOut": 0, + "out": [ + 1.5513263285176897, + 5.1568776039816795, + 0.9664996487646696, + 0.25666793515702424, + 0.7496781758158659, + 0.6618025632357402 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_g_and_h_gt_1.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_g_and_h_gt_1.json new file mode 100644 index 000000000000..0bff731a8a68 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_g_and_h_gt_1.json @@ -0,0 +1,15 @@ +{ + "F": 2.0, + "G": 1.0E+20, + "H": 3.0, + "strideOut": 1, + "offsetOut": 0, + "out": [ + 6.0E-20, + 1.0E+20, + 1.0, + 2.0E-20, + 3.0E-20, + 1.0 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_g_diagonal.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_g_diagonal.json new file mode 100644 index 000000000000..ca5f429368ff --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_g_diagonal.json @@ -0,0 +1,15 @@ +{ + "F": 2.0, + "G": 1.0E+20, + "H": 1.0, + "strideOut": 1, + "offsetOut": 0, + "out": [ + 2.0E-20, + 1.0E+20, + 1.0, + 2.0E-20, + 1.0E-20, + 1.0 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/decreasing_order_elements.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/decreasing_order_elements.json new file mode 100644 index 000000000000..b321ae33bcf7 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/decreasing_order_elements.json @@ -0,0 +1,21 @@ +{ + "F": 4, + "G": 3, + "H": 2, + "strideOut": 2, + "offsetOut": 0, + "out": [ + 1.5513263285176897, + 9999, + 5.1568776039816795, + 9999, + 0.6618025632357402, + 9999, + 0.7496781758158659, + 9999, + 0.25666793515702424, + 9999, + 0.9664996487646696, + 9999 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/diagonal_matrix.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/diagonal_matrix.json new file mode 100644 index 000000000000..f299d333f323 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/diagonal_matrix.json @@ -0,0 +1,21 @@ +{ + "F": 2, + "G": 0, + "H": -12, + "strideOut": 2, + "offsetOut": 0, + "out": [ + 2, + 9999, + -12, + 9999, + 1, + 9999, + 0, + 9999, + 1, + 9999, + 0, + 9999 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/g_gt_f_and_h.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/g_gt_f_and_h.json new file mode 100644 index 000000000000..c3c181a0fdf9 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/g_gt_f_and_h.json @@ -0,0 +1,21 @@ +{ + "F": 4, + "G": 5, + "H": 2, + "strideOut": 2, + "offsetOut": 0, + "out": [ + 1.2125424343860751, + 9999, + 6.597707241520579, + 9999, + 0.8090383403577232, + 9999, + 0.5877558709457702, + 9999, + 0.2452483296822559, + 9999, + 0.9694602914962858, + 9999 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/increasing_order_elements.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/increasing_order_elements.json new file mode 100644 index 000000000000..f8ebcd12a5b4 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/increasing_order_elements.json @@ -0,0 +1,21 @@ +{ + "F": 2, + "G": 3, + "H": 4, + "strideOut": 2, + "offsetOut": 0, + "out": [ + 1.5513263285176897, + 9999, + 5.1568776039816795, + 9999, + 0.9664996487646696, + 9999, + 0.25666793515702424, + 9999, + 0.7496781758158659, + 9999, + 0.6618025632357402, + 9999 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/large_g_and_h_gt_1.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/large_g_and_h_gt_1.json new file mode 100644 index 000000000000..2c45c3d30921 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/large_g_and_h_gt_1.json @@ -0,0 +1,21 @@ +{ + "F": 2, + "G": 100000000000000000000, + "H": 3, + "strideOut": 2, + "offsetOut": 0, + "out": [ + 6e-20, + 9999, + 100000000000000000000, + 9999, + 1, + 9999, + 2e-20, + 9999, + 3e-20, + 9999, + 1, + 9999 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/large_g_diagonal.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/large_g_diagonal.json new file mode 100644 index 000000000000..192510267c14 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/large_g_diagonal.json @@ -0,0 +1,21 @@ +{ + "F": 2, + "G": 100000000000000000000, + "H": 1, + "strideOut": 2, + "offsetOut": 0, + "out": [ + 2e-20, + 9999, + 100000000000000000000, + 9999, + 1, + 9999, + 2e-20, + 9999, + 1e-20, + 9999, + 1, + 9999 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/small_g_and_f_eq_h.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/small_g_and_f_eq_h.json new file mode 100644 index 000000000000..13e8e65a7ec3 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/large_strides/small_g_and_f_eq_h.json @@ -0,0 +1,21 @@ +{ + "F": 3, + "G": 5e-324, + "H": 3, + "strideOut": 2, + "offsetOut": 0, + "out": [ + 3, + 9999, + 3, + 9999, + 0.7071067811865475, + 9999, + 0.7071067811865475, + 9999, + 0.7071067811865475, + 9999, + 0.7071067811865475, + 9999 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/decreasing_order_elements.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/decreasing_order_elements.json new file mode 100644 index 000000000000..51d6510a1774 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/decreasing_order_elements.json @@ -0,0 +1,15 @@ +{ + "F": 4, + "G": 3, + "H": 2, + "strideOut": -1, + "offsetOut": 5, + "out": [ + 0.9664996487646696, + 0.25666793515702424, + 0.7496781758158659, + 0.6618025632357402, + 5.1568776039816795, + 1.5513263285176897 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/diagonal_matrix.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/diagonal_matrix.json new file mode 100644 index 000000000000..9e7b8cbed009 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/diagonal_matrix.json @@ -0,0 +1,15 @@ +{ + "F": 2, + "G": 0, + "H": -12, + "strideOut": -1, + "offsetOut": 5, + "out": [ + 0, + 1, + 0, + 1, + -12, + 2 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/g_gt_f_and_h.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/g_gt_f_and_h.json new file mode 100644 index 000000000000..1c99e07a1c96 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/g_gt_f_and_h.json @@ -0,0 +1,15 @@ +{ + "F": 4.0, + "G": 5.0, + "H": 2.0, + "strideOut": -1, + "offsetOut": 5, + "out": [ + 0.9694602914962858, + 0.2452483296822559, + 0.5877558709457702, + 0.8090383403577232, + 6.597707241520579, + 1.2125424343860751 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/increasing_order_elements.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/increasing_order_elements.json new file mode 100644 index 000000000000..b16c6019c733 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/increasing_order_elements.json @@ -0,0 +1,15 @@ +{ + "F": 2, + "G": 3, + "H": 4, + "strideOut": -1, + "offsetOut": 5, + "out": [ + 0.6618025632357402, + 0.7496781758158659, + 0.25666793515702424, + 0.9664996487646696, + 5.1568776039816795, + 1.5513263285176897 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/large_g_and_h_gt_1.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/large_g_and_h_gt_1.json new file mode 100644 index 000000000000..77c59e41a96d --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/large_g_and_h_gt_1.json @@ -0,0 +1,15 @@ +{ + "F": 2, + "G": 100000000000000000000, + "H": 3, + "strideOut": -1, + "offsetOut": 5, + "out": [ + 1, + 3e-20, + 2e-20, + 1, + 100000000000000000000, + 6e-20 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/large_g_diagonal.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/large_g_diagonal.json new file mode 100644 index 000000000000..1a1bde69d0b0 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/large_g_diagonal.json @@ -0,0 +1,15 @@ +{ + "F": 2, + "G": 100000000000000000000, + "H": 1, + "strideOut": -1, + "offsetOut": 5, + "out": [ + 1, + 1e-20, + 2e-20, + 1, + 100000000000000000000, + 2e-20 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/small_g_and_f_eq_h.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/small_g_and_f_eq_h.json new file mode 100644 index 000000000000..add225b46762 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/negative_strides/small_g_and_f_eq_h.json @@ -0,0 +1,15 @@ +{ + "F": 3, + "G": 5e-324, + "H": 3, + "strideOut": -1, + "offsetOut": 5, + "out": [ + 0.7071067811865475, + 0.7071067811865475, + 0.7071067811865475, + 0.7071067811865475, + 3, + 3 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/decreasing_order_elements.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/decreasing_order_elements.json new file mode 100644 index 000000000000..31f88d89ed1e --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/decreasing_order_elements.json @@ -0,0 +1,16 @@ +{ + "F": 4, + "G": 3, + "H": 2, + "strideOut": 1, + "offsetOut": 1, + "out": [ + 9999, + 1.5513263285176897, + 5.1568776039816795, + 0.6618025632357402, + 0.7496781758158659, + 0.25666793515702424, + 0.9664996487646696 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/diagonal_matrix.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/diagonal_matrix.json new file mode 100644 index 000000000000..3c6fe9fe9c62 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/diagonal_matrix.json @@ -0,0 +1,16 @@ +{ + "F": 2, + "G": 0, + "H": -12, + "strideOut": 1, + "offsetOut": 1, + "out": [ + 9999, + 2, + -12, + 1, + 0, + 1, + 0 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/g_gt_f_and_h.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/g_gt_f_and_h.json new file mode 100644 index 000000000000..3d432ed52fc5 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/g_gt_f_and_h.json @@ -0,0 +1,16 @@ +{ + "F": 4, + "G": 5, + "H": 2, + "strideOut": 1, + "offsetOut": 1, + "out": [ + 9999, + 1.2125424343860751, + 6.597707241520579, + 0.8090383403577232, + 0.5877558709457702, + 0.2452483296822559, + 0.9694602914962858 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/increasing_order_elements.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/increasing_order_elements.json new file mode 100644 index 000000000000..b864705ad0f2 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/increasing_order_elements.json @@ -0,0 +1,16 @@ +{ + "F": 2, + "G": 3, + "H": 4, + "strideOut": 1, + "offsetOut": 1, + "out": [ + 9999, + 1.5513263285176897, + 5.1568776039816795, + 0.9664996487646696, + 0.25666793515702424, + 0.7496781758158659, + 0.6618025632357402 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/large_g_and_h_gt_1.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/large_g_and_h_gt_1.json new file mode 100644 index 000000000000..c1ac1cf0d8ca --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/large_g_and_h_gt_1.json @@ -0,0 +1,16 @@ +{ + "F": 2, + "G": 100000000000000000000, + "H": 3, + "strideOut": 1, + "offsetOut": 1, + "out": [ + 9999, + 6e-20, + 100000000000000000000, + 1, + 2e-20, + 3e-20, + 1 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/large_g_diagonal.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/large_g_diagonal.json new file mode 100644 index 000000000000..c5830d834549 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/large_g_diagonal.json @@ -0,0 +1,16 @@ +{ + "F": 2, + "G": 100000000000000000000, + "H": 1, + "strideOut": 1, + "offsetOut": 1, + "out": [ + 9999, + 2e-20, + 100000000000000000000, + 1, + 2e-20, + 1e-20, + 1 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/small_g_and_f_eq_h.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/small_g_and_f_eq_h.json new file mode 100644 index 000000000000..a1cdea93f161 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/offsets/small_g_and_f_eq_h.json @@ -0,0 +1,16 @@ +{ + "F": 3, + "G": 5e-324, + "H": 3, + "strideOut": 1, + "offsetOut": 1, + "out": [ + 9999, + 3, + 3, + 0.7071067811865475, + 0.7071067811865475, + 0.7071067811865475, + 0.7071067811865475 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/small_g_and_f_eq_h.json b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/small_g_and_f_eq_h.json new file mode 100644 index 000000000000..1cd2c29cbca2 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/fixtures/small_g_and_f_eq_h.json @@ -0,0 +1,15 @@ +{ + "F": 3.0, + "G": 5.0E-324, + "H": 3.0, + "strideOut": 1, + "offsetOut": 0, + "out": [ + 3.0, + 3.0, + 0.7071067811865475, + 0.7071067811865475, + 0.7071067811865475, + 0.7071067811865475 + ] +} diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.dlasv2.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.dlasv2.js new file mode 100644 index 000000000000..70080489d985 --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.dlasv2.js @@ -0,0 +1,169 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var Float64Array = require( '@stdlib/array/float64' ); +var isAlmostSameValueFloat64Array = require( '@stdlib/assert/is-almost-same-value-float64array' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var dlasv2 = require( './../lib/dlasv2.js' ); + + +// FIXTURES // + +// NOTE: Expected outputs in fixtures were generated using the reference LAPACK Fortran implementation of DLASV2. +var INC_ORD_ELE = require( './fixtures/increasing_order_elements.json' ); +var DEC_ORD_ELE = require( './fixtures/decreasing_order_elements.json' ); +var LARGE_G = require( './fixtures/large_g_diagonal.json' ); +var LARGE_G_AND_H_GT_1 = require( './fixtures/large_g_and_h_gt_1.json' ); +var SMALL_G_AND_F_EQ_H = require( './fixtures/small_g_and_f_eq_h.json' ); +var DIA_MAT = require( './fixtures/diagonal_matrix.json' ); +var G_GT_F_AND_H = require( './fixtures/g_gt_f_and_h.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof dlasv2, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 4', function test( t ) { + t.strictEqual( dlasv2.length, 4, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in increasing order', function test( t ) { + var expected; + var data; + var out; + + data = INC_ORD_ELE; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in decreasing order', function test( t ) { + var expected; + var data; + var out; + + data = DEC_ORD_ELE; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with parameter `G` greater than `F` and `H`', function test( t ) { + var expected; + var data; + var out; + + data = G_GT_F_AND_H; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix', function test( t ) { + var expected; + var data; + var out; + + data = DIA_MAT; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G`', function test( t ) { + var expected; + var data; + var out; + + data = LARGE_G; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G` when `H` is greater than 1', function test( t ) { + var expected; + var data; + var out; + + data = LARGE_G_AND_H_GT_1; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with an infinite `F`', function test( t ) { + var expected; + var out; + + expected = new Float64Array( [ 1.0, PINF, 0.0, 1.0, 0.0, 1.0 ] ); + out = new Float64Array( 6 ); + out = dlasv2( PINF, 2.0, 1.0, out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with tiny off-diagonal entries when `F` and `H` are equal', function test( t ) { + var expected; + var data; + var out; + + data = SMALL_G_AND_F_EQ_H; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.js new file mode 100644 index 000000000000..82644bcbfe4d --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.js @@ -0,0 +1,82 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var proxyquire = require( 'proxyquire' ); +var IS_BROWSER = require( '@stdlib/assert/is-browser' ); +var dlasv2 = 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 dlasv2, '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 dlasv2.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 dlasv2 = proxyquire( './../lib', { + '@stdlib/utils/try-require': tryRequire + }); + + t.strictEqual( dlasv2, 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 dlasv2; + var main; + + main = require( './../lib/dlasv2.js' ); + + dlasv2 = proxyquire( './../lib', { + '@stdlib/utils/try-require': tryRequire + }); + + t.strictEqual( dlasv2, main, 'returns expected value' ); + t.end(); + + function tryRequire() { + return new Error( 'Cannot find module' ); + } +}); diff --git a/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.ndarray.js b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.ndarray.js new file mode 100644 index 000000000000..a021e663049a --- /dev/null +++ b/lib/node_modules/@stdlib/lapack/base/dlasv2/test/test.ndarray.js @@ -0,0 +1,493 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var Float64Array = require( '@stdlib/array/float64' ); +var isAlmostSameValueFloat64Array = require( '@stdlib/assert/is-almost-same-value-float64array' ); +var dlasv2 = require( './../lib/ndarray.js' ); + + +// FIXTURES // + +// NOTE: Expected outputs in fixtures were generated using the reference LAPACK Fortran implementation of DLASV2. +var INC_ORD_ELE = require( './fixtures/increasing_order_elements.json' ); +var DEC_ORD_ELE = require( './fixtures/decreasing_order_elements.json' ); +var LARGE_G = require( './fixtures/large_g_diagonal.json' ); +var LARGE_G_AND_H_GT_1 = require( './fixtures/large_g_and_h_gt_1.json' ); +var SMALL_G_AND_F_EQ_H = require( './fixtures/small_g_and_f_eq_h.json' ); +var DIA_MAT = require( './fixtures/diagonal_matrix.json' ); +var G_GT_F_AND_H = require( './fixtures/g_gt_f_and_h.json' ); +var LAR_STR_INC_ORD_ELE = require( './fixtures/large_strides/increasing_order_elements.json' ); +var LAR_STR_DEC_ORD_ELE = require( './fixtures/large_strides/decreasing_order_elements.json' ); +var LAR_STR_LARGE_G = require( './fixtures/large_strides/large_g_diagonal.json' ); +var LAR_STR_LARGE_G_AND_H_GT_1 = require( './fixtures/large_strides/large_g_and_h_gt_1.json' ); +var LAR_STR_SMALL_G_AND_F_EQ_H = require( './fixtures/large_strides/small_g_and_f_eq_h.json' ); +var LAR_STR_DIA_MAT = require( './fixtures/large_strides/diagonal_matrix.json' ); +var LAR_STR_G_GT_F_AND_H = require( './fixtures/large_strides/g_gt_f_and_h.json' ); +var NEG_STR_INC_ORD_ELE = require( './fixtures/negative_strides/increasing_order_elements.json' ); +var NEG_STR_DEC_ORD_ELE = require( './fixtures/negative_strides/decreasing_order_elements.json' ); +var NEG_STR_LARGE_G = require( './fixtures/negative_strides/large_g_diagonal.json' ); +var NEG_STR_LARGE_G_AND_H_GT_1 = require( './fixtures/negative_strides/large_g_and_h_gt_1.json' ); +var NEG_STR_SMALL_G_AND_F_EQ_H = require( './fixtures/negative_strides/small_g_and_f_eq_h.json' ); +var NEG_STR_DIA_MAT = require( './fixtures/negative_strides/diagonal_matrix.json' ); +var NEG_STR_G_GT_F_AND_H = require( './fixtures/negative_strides/g_gt_f_and_h.json' ); +var OFF_INC_ORD_ELE = require( './fixtures/offsets/increasing_order_elements.json' ); +var OFF_DEC_ORD_ELE = require( './fixtures/offsets/decreasing_order_elements.json' ); +var OFF_LARGE_G = require( './fixtures/offsets/large_g_diagonal.json' ); +var OFF_LARGE_G_AND_H_GT_1 = require( './fixtures/offsets/large_g_and_h_gt_1.json' ); +var OFF_SMALL_G_AND_F_EQ_H = require( './fixtures/offsets/small_g_and_f_eq_h.json' ); +var OFF_DIA_MAT = require( './fixtures/offsets/diagonal_matrix.json' ); +var OFF_G_GT_F_AND_H = require( './fixtures/offsets/g_gt_f_and_h.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof dlasv2, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 6', function test( t ) { + t.strictEqual( dlasv2.length, 6, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in increasing order', function test( t ) { + var expected; + var data; + var out; + + data = INC_ORD_ELE; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in decreasing order', function test( t ) { + var expected; + var data; + var out; + + data = DEC_ORD_ELE; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with parameter `G` greater than `F` and `H`', function test( t ) { + var expected; + var data; + var out; + + data = G_GT_F_AND_H; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix', function test( t ) { + var expected; + var data; + var out; + + data = DIA_MAT; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G`', function test( t ) { + var expected; + var data; + var out; + + data = LARGE_G; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G` when `H` is greater than 1', function test( t ) { + var expected; + var data; + var out; + + data = LARGE_G_AND_H_GT_1; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with tiny off-diagonal entries when `F` and `H` are equal', function test( t ) { + var expected; + var data; + var out; + + data = SMALL_G_AND_F_EQ_H; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in increasing order (large stride)', function test( t ) { + var expected; + var data; + var out; + + data = LAR_STR_INC_ORD_ELE; + + out = new Float64Array( [ 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in decreasing order (large stride)', function test( t ) { + var expected; + var data; + var out; + + data = LAR_STR_DEC_ORD_ELE; + + out = new Float64Array( [ 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with parameter `G` greater than `F` and `H` (large stride)', function test( t ) { + var expected; + var data; + var out; + + data = LAR_STR_G_GT_F_AND_H; + + out = new Float64Array( [ 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix (large stride)', function test( t ) { + var expected; + var data; + var out; + + data = LAR_STR_DIA_MAT; + + out = new Float64Array( [ 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G` (large stride)', function test( t ) { + var expected; + var data; + var out; + + data = LAR_STR_LARGE_G; + + out = new Float64Array( [ 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G` when `H` is greater than 1 (large stride)', function test( t ) { + var expected; + var data; + var out; + + data = LAR_STR_LARGE_G_AND_H_GT_1; + + out = new Float64Array( [ 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with tiny off-diagonal entries when `F` and `H` are equal (large stride)', function test( t ) { + var expected; + var data; + var out; + + data = LAR_STR_SMALL_G_AND_F_EQ_H; + + out = new Float64Array( [ 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999, 0, 9999 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in increasing order (negative stride)', function test( t ) { + var expected; + var data; + var out; + + data = NEG_STR_INC_ORD_ELE; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in decreasing order (negative stride)', function test( t ) { + var expected; + var data; + var out; + + data = NEG_STR_DEC_ORD_ELE; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with parameter `G` greater than `F` and `H` (negative stride)', function test( t ) { + var expected; + var data; + var out; + + data = NEG_STR_G_GT_F_AND_H; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix (negative stride)', function test( t ) { + var expected; + var data; + var out; + + data = NEG_STR_DIA_MAT; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G` (negative stride)', function test( t ) { + var expected; + var data; + var out; + + data = NEG_STR_LARGE_G; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G` when `H` is greater than 1 (negative stride)', function test( t ) { + var expected; + var data; + var out; + + data = NEG_STR_LARGE_G_AND_H_GT_1; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with tiny off-diagonal entries when `F` and `H` are equal (negative stride)', function test( t ) { + var expected; + var data; + var out; + + data = NEG_STR_SMALL_G_AND_F_EQ_H; + + out = new Float64Array( 6 ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in increasing order (offset)', function test( t ) { + var expected; + var data; + var out; + + data = OFF_INC_ORD_ELE; + + out = new Float64Array( [ 9999, 0, 0, 0, 0, 0, 0 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with elements in decreasing order (offset)', function test( t ) { + var expected; + var data; + var out; + + data = OFF_DEC_ORD_ELE; + + out = new Float64Array( [ 9999, 0, 0, 0, 0, 0, 0 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a triangular matrix with parameter `G` greater than `F` and `H` (offset)', function test( t ) { + var expected; + var data; + var out; + + data = OFF_G_GT_F_AND_H; + + out = new Float64Array( [ 9999, 0, 0, 0, 0, 0, 0 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix (offset)', function test( t ) { + var expected; + var data; + var out; + + data = OFF_DIA_MAT; + + out = new Float64Array( [ 9999, 0, 0, 0, 0, 0, 0 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G` (offset)', function test( t ) { + var expected; + var data; + var out; + + data = OFF_LARGE_G; + + out = new Float64Array( [ 9999, 0, 0, 0, 0, 0, 0 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with a very large `G` when `H` is greater than 1 (offset)', function test( t ) { + var expected; + var data; + var out; + + data = OFF_LARGE_G_AND_H_GT_1; + + out = new Float64Array( [ 9999, 0, 0, 0, 0, 0, 0 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function computes the singular value decomposition of a diagonal matrix with tiny off-diagonal entries when `F` and `H` are equal (offset)', function test( t ) { + var expected; + var data; + var out; + + data = OFF_SMALL_G_AND_F_EQ_H; + + out = new Float64Array( [ 9999, 0, 0, 0, 0, 0, 0 ] ); + + dlasv2( data.F, data.G, data.H, out, data.strideOut, data.offsetOut ); + expected = new Float64Array( data.out ); + t.strictEqual( isAlmostSameValueFloat64Array( out, expected, 1 ), true, 'returns expected value' ); + t.end(); +});