diff --git a/lib/node_modules/@stdlib/blas/base/gger/README.md b/lib/node_modules/@stdlib/blas/base/gger/README.md new file mode 100644 index 000000000000..4a2396f63e27 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/README.md @@ -0,0 +1,205 @@ + + +# gger + +> Perform the rank 1 operation `A = α*x*y^T + A`. + +
+ +## Usage + +```javascript +var gger = require( '@stdlib/blas/base/gger' ); +``` + +#### gger( order, M, N, alpha, x, strideX, y, strideY, A, LDA ) + +Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. + +```javascript +var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; +var x = [ 1.0, 1.0 ]; +var y = [ 1.0, 1.0, 1.0 ]; + +gger( 'row-major', 2, 3, 1.0, x, 1, y, 1, A, 3 ); +// A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +``` + +The function has the following parameters: + +- **order**: storage layout. +- **M**: number of rows in the matrix `A`. +- **N**: number of columns in the matrix `A`. +- **α**: scalar constant. +- **x**: an `M` element input array. +- **sx**: stride length for `x`. +- **y**: an `N` element input array. +- **sy**: stride length for `y`. +- **A**: input matrix stored in linear memory. +- **lda**: stride of the first dimension of `A` (leading dimension of `A`). + +The stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to iterate over every other element in `x` and `y`, + +```javascript +var A = [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ]; +var x = [ 1.0, 0.0, 1.0, 0.0 ]; +var y = [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ]; + +gger( 'column-major', 2, 3, 1.0, x, 2, y, 2, A, 2 ); +// A => [ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +``` + +Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. + + + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +// Initial arrays... +var x0 = new Float64Array( [ 0.0, 1.0, 1.0 ] ); +var y0 = new Float64Array( [ 0.0, 1.0, 1.0, 1.0 ] ); +var A = new Float64Array( [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ] ); + +// Create offset views... +var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element +var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element + +gger( 'column-major', 2, 3, 1.0, x1, -1, y1, -1, A, 2 ); +// A => [ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +``` + +#### gger.ndarray( M, N, α, x, sx, ox, y, sy, oy, A, sa1, sa2, oa ) + +Performs the rank 1 operation `A = α*x*y^T + A`, using alternative indexing semantics and where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. + +```javascript +var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; +var x = [ 1.0, 1.0 ]; +var y = [ 1.0, 1.0, 1.0 ]; + +gger.ndarray( 2, 3, 1.0, x, 1, 0, y, 1, 0, A, 3, 1, 0 ); +// A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +``` + +The function has the following additional parameters: + +- **offsetX**: starting index for `x`. +- **offsetY**: starting index for `y`. + +While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var A = [ 0.0, 0.0, 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ]; +var x = [ 0.0, 1.0, 0.0, 1.0, 0.0 ]; +var y = [ 0.0, 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ]; + +gger.ndarray( 2, 3, 1.0, x, 2, 1, y, 2, 1, A, 1, 2, 2 ); +// A => [ 0.0, 0.0, 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +``` + +
+ + + +
+ +## Notes + +- `gger()` corresponds to the [BLAS][blas] level 2 function [`dger`][dger] with the exception that this implementation works with any array type, not just Float64Arrays. Depending on the environment, the typed versions ([`dger`][@stdlib/blas/base/dger], [`sger`][@stdlib/blas/base/sger], etc.) are likely to be significantly more performant. +- Both functions support array-like objects having getter and setter accessors for array element access (e.g., [`@stdlib/array/base/accessor`][@stdlib/array/base/accessor]). + +
+ + + +
+ +## Examples + + + +```javascript +var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); +var gger = require( '@stdlib/blas/base/gger' ); + +var opts = { + 'dtype': 'generic' +}; + +var M = 3; +var N = 5; + +var A = discreteUniform( M*N, 0, 255, opts ); +var x = discreteUniform( M, 0, 255, opts ); +var y = discreteUniform( N, 0, 255, opts ); + +gger( 'row-major', M, N, 1.0, x, 1, y, 1, A, N ); +console.log( A ); + +gger.ndarray( M, N, 1.0, x, 1, 0, y, 1, 0, A, 1, M, 0 ); +console.log( A ); +``` + +
+ + + + + +
+ +* * * + +## See Also + +- [`@stdlib/blas/base/dger`][@stdlib/blas/base/dger]: perform the rank 1 operation `A = α*x*y^T + A`. +- [`@stdlib/blas/base/sger`][@stdlib/blas/base/sger]: perform the rank 1 operation `A = α*x*y^T + A`. + +
+ + + + + +
+ +[blas]: http://www.netlib.org/blas + +[dger]: https://www.netlib.org/lapack/explore-html-3.6.1/d7/d15/group__double__blas__level2_ga458222e01b4d348e9b52b9343d52f828.html + +[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray + +[@stdlib/blas/base/dger]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/dger + +[@stdlib/blas/base/sger]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/sger + +[@stdlib/array/base/accessor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/base/accessor + + + + + +
+ + diff --git a/lib/node_modules/@stdlib/blas/base/gger/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/base/gger/benchmark/benchmark.js new file mode 100644 index 000000000000..d832db27a349 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/benchmark/benchmark.js @@ -0,0 +1,94 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var floor = require( '@stdlib/math/base/special/floor' ); +var pkg = require( './../package.json' ).name; +var gger = require( './../lib' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float64' +}; + + +// FUNCTIONS // + +/** +* Create a benchmark function. +* +* @private +* @param {PositiveInteger} N - array dimension size +* @returns {Function} benchmark function +*/ +function createBenchmark( N ) { + var x = uniform( N, -10.0, 10.0, options ); + var y = uniform( N, -10.0, 10.0, options ); + var A = uniform( N*N, -10.0, 10.0, options ); + return benchmark; + + function benchmark( b ) { + var z; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + z = gger( 'row-major', N, N, 1.0, x, 1, y, 1, A, N ); + if ( isnan( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); + } +} + + +// MAIN // + +function main() { + var min; + var max; + var N; + var f; + var i; + + min = 1; // 10^min + max = 6; // 10^max + + for ( i = min; i <= max; i++ ) { + N = floor( pow( pow( 10, i ), 1.0/2.0 ) ); + f = createBenchmark( N ); + bench( pkg+':size='+(N*N), f ); + } +} + +main(); diff --git a/lib/node_modules/@stdlib/blas/base/gger/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/blas/base/gger/benchmark/benchmark.ndarray.js new file mode 100644 index 000000000000..bd56ef838cab --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/benchmark/benchmark.ndarray.js @@ -0,0 +1,94 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pow = require( '@stdlib/math/base/special/pow' ); +var floor = require( '@stdlib/math/base/special/floor' ); +var pkg = require( './../package.json' ).name; +var gger = require( './../lib' ).ndarray; + + +// VARIABLES // + +var options = { + 'dtype': 'float64' +}; + + +// FUNCTIONS // + +/** +* Create a benchmark function. +* +* @private +* @param {PositiveInteger} N - array dimension size +* @returns {Function} benchmark function +*/ +function createBenchmark( N ) { + var x = uniform( N, -10.0, 10.0, options ); + var y = uniform( N, -10.0, 10.0, options ); + var A = uniform( N*N, -10.0, 10.0, options ); + return benchmark; + + function benchmark( b ) { + var z; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + z = gger( 'row-major', N, N, 1.0, x, 1, y, 1, A, N ); + if ( isnan( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); + } +} + + +// MAIN // + +function main() { + var min; + var max; + var N; + var f; + var i; + + min = 1; // 10^min + max = 6; // 10^max + + for ( i = min; i <= max; i++ ) { + N = floor( pow( pow( 10, i ), 1.0/2.0 ) ); + f = createBenchmark( N ); + bench( pkg+':ndarray:size='+(N*N), f ); + } +} + +main(); diff --git a/lib/node_modules/@stdlib/blas/base/gger/docs/repl.txt b/lib/node_modules/@stdlib/blas/base/gger/docs/repl.txt new file mode 100644 index 000000000000..2630e120ff83 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/docs/repl.txt @@ -0,0 +1,143 @@ + +{{alias}}( order, M, N, α, x, sx, y, sy, A, lda ) + Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` + is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by + `N` matrix. + + The `N` and stride parameters determine which elements in the strided array + are accessed at runtime. + + Indexing is relative to the first index. To introduce an offset, use typed + array views. + + If `M`, `N`, or `α` is equal to `0`, the function returns `A` unchanged. + + Parameters + ---------- + order: string + Row-major (C-style) or column-major (Fortran-style) order. + + M: integer + Number of rows in `A`. + + N: integer + Number of columns in `A`. + + α: number + Scalar constant. + + x: Array|TypedArray + First input vector. + + sx: integer + Stride length for `x`. + + y: Array|TypedArray + Second input vector. + + sy: integer + Stride length for `y`. + + A: Array|TypedArray + Input Matrix. + + lda: integer + Stride of the first dimension of `A` (a.k.a., leading dimension of the + matrix `A`). + + Returns + ------- + A: Array|TypedArray + Input Matrix. + + Examples + -------- + // Standard Usage: + > var x = [ 1.0, 1.0 ]; + > var y = [ 1.0, 1.0 ]; + > var A = [ 1.0, 2.0, 3.0, 4.0 ]; + > var order = 'row-major'; + > {{alias}}( order, 2, 2, 1.0, x, 1, y, 1, A, 2 ) + [ 2.0, 3.0, 4.0, 5.0 ] + + // Advanced indexing: + > x = [ 1.0, 1.0 ]; + > y = [ 1.0, 1.0 ]; + > A = [ 1.0, 2.0, 3.0, 4.0 ]; + > {{alias}}( order, 2, 2, 1.0, x, -1, y, -1, A, 2 ) + [ 2.0, 3.0, 4.0, 5.0 ] + + // Using typed array views: + > var x0 = new {{alias:@stdlib/array/float64}}( [ 0.0, 1.0, 1.0 ] ); + > var y0 = new {{alias:@stdlib/array/float64}}( [ 0.0, 1.0, 1.0 ] ); + > A = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] ); + > var x1 = new {{alias:@stdlib/array/float64}}( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); + > var y1 = new {{alias:@stdlib/array/float64}}( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); + > {{alias}}( order, 2, 2, 1.0, x1, -1, y1, -1, A, 2 ) + [ 2.0, 3.0, 4.0, 5.0 ] + + +{{alias}}.ndarray( M, N, α, x, sx, ox, y, sy, oy, A, sa1, sa2, oa ) + Performs the rank 1 operation `A = α*x*y^T + A`, using alternative indexing + semantics and where `α` is a scalar, `x` is an `M` element vector, `y` is an + `N` element vector, and `A` is an `M` by `N` matrix. + + While typed array views mandate a view offset based on the underlying + buffer, the offset parameters support indexing semantics based on starting + indices. + + Parameters + ---------- + M: integer + Number of rows in `A`. + + N: integer + Number of columns in `A`. + + α: number + Scalar constant. + + x: Array|TypedArray + First input vector. + + sx: integer + Stride length for `x`. + + ox: integer + Starting index for `x`. + + y: Array|TypedArray + Second input vector. + + sy: integer + Stride length for `y`. + + oy: integer + Starting index for `y`. + + A: Array|TypedArray + Input Matrix. + + sa1: integer + Stride of the first dimension of `A`. + + sa2: integer + Stride of the second dimension of `A`. + + oa: integerStarting index for `A`. + + Returns + ------- + A: Array|TypedArray + Input Matrix. + + Examples + -------- + > var x = [ 1.0, 1.0 ]; + > var y = [ 1.0, 1.0 ]; + > var A = [ 1.0, 2.0, 3.0, 4.0 ]; + > {{alias}}.ndarray( 2, 2, 1.0, x, 1, 0, y, 1, 0, A, 2, 1, 0 ) + [ 2.0, 3.0, 4.0, 5.0 ] + + See Also + -------- diff --git a/lib/node_modules/@stdlib/blas/base/gger/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/base/gger/docs/types/index.d.ts new file mode 100644 index 000000000000..9c16f82c955a --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/docs/types/index.d.ts @@ -0,0 +1,125 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/// + +import { NumericArray, Collection, AccessorArrayLike } from '@stdlib/types/array'; +import { Layout } from '@stdlib/types/blas'; + +/** +* Input array. +*/ +type InputArray = NumericArray | Collection | AccessorArrayLike; + +/** +* Interface describing `gger`. +*/ +interface Routine { + /** + * Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. + * + * @param order - storage layout + * @param M - number of rows in the matrix `A` + * @param N - number of columns in the matrix `A` + * @param alpha - scalar constant + * @param x - first input vector + * @param strideX - `x` stride length + * @param y - second input vector + * @param strideY - `y` stride length + * @param A - input matrix + * @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) + * @returns `A` + * + * @example + * var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; + * var x = [ 1.0, 1.0 ]; + * var y = [ 1.0, 1.0, 1.0 ]; + * + * gger( 'row-major', 2, 3, 1.0, x, 1, y, 1, A, 3 ); + * // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] + */ + ( order: Layout, M: number, N: number, alpha: number, x: InputArray, strideX: number, y: InputArray, strideY: number, A: T, LDA: number ): T; + + /** + * Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix using alternative indexing semantics. + * + * @param M - number of rows in the matrix `A` + * @param N - number of columns in the matrix `A` + * @param alpha - scalar constant + * @param x - first input vector + * @param strideX - `x` stride length + * @param offsetX - starting index for `x` + * @param y - second input vector + * @param strideY - `y` stride length + * @param offsetY - starting index for `y` + * @param A - input matrix + * @param strideA1 - stride of the first dimension of `A` + * @param strideA2 - stride of the second dimension of `A` + * @param offsetA - starting index for `A` + * @returns `A` + * + * @example + * var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; + * var x = [ 1.0, 1.0 ]; + * var y = [ 1.0, 1.0, 1.0 ]; + * + * gger.ndarray( 2, 3, 1.0, x, 1, 0, y, 1, 0, A, 3, 1, 0 ); + * // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] + */ + ndarray( M: number, N: number, alpha: number, x: InputArray, strideX: number, offsetX: number, y: InputArray, strideY: number, offsetY: number, A: T, strideA1: number, strideA2: number, offsetA: number ): T; +} + +/** +* Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. +* +* @param order - storage layout +* @param M - number of rows in the matrix `A` +* @param N - number of columns in the matrix `A` +* @param alpha - scalar constant +* @param x - first input vector +* @param strideX - `x` stride length +* @param y - second input vector +* @param strideY - `y` stride length +* @param A - input matrix +* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) +* @returns `A` +* +* @example +* var A = [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ]; +* var x = [ 1.0, 1.0 ]; +* var y = [ 1.0, 1.0, 1.0 ]; +* +* gger( 'row-major', 2, 3, 1.0, x, 1, y, 1, A, 2 ); +* // A => [ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +* +* @example +* var A = [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ]; +* var x = [ 1.0, 1.0 ]; +* var y = [ 1.0, 1.0, 1.0 ]; +* +* gger.ndarray( 2, 3, 1.0, x, 1, 0, y, 1, 0, A, 1, 2, 0 ); +* // A => [ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +*/ +declare var gger: Routine; + + +// EXPORTS // + +export = gger; diff --git a/lib/node_modules/@stdlib/blas/base/gger/docs/types/test.ts b/lib/node_modules/@stdlib/blas/base/gger/docs/types/test.ts new file mode 100644 index 000000000000..cccf450f67ab --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/docs/types/test.ts @@ -0,0 +1,449 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import gger = require( './index' ); + + +// TESTS // + +// The function returns an array... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectType Float64Array +} + +// The compiler throws an error if the function is provided a first argument which is not a string... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 10, 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( true, 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( false, 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( null, 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( undefined, 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( [], 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( {}, 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( ( x: number ): number => x, 10, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', '10', 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', true, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', false, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', null, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', undefined, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', [], 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', {}, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', ( x: number ): number => x, 10, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', 10, '10', 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, true, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, false, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, null, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, undefined, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, [], 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, {}, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, ( x: number ): number => x, 1.0, x, 1, y, 1, A, 10 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', 10, 10, '10', x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, true, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, false, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, null, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, undefined, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, [], x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, {}, x, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, ( x: number ): number => x, x, 1, y, 1, A, 10 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a numeric array... +{ + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', 10, 10, 1.0, 10, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, '10', 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, true, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, false, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, null, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, undefined, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, [ '1' ], 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, {}, 1, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, ( x: number ): number => x, 1, y, 1, A, 10 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', 10, 10, 1.0, x, '10', y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, true, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, false, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, null, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, undefined, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, [], y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, {}, y, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, ( x: number ): number => x, y, 1, A, 10 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a seventh argument which is not a numeric array... +{ + const x = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', 10, 10, 1.0, x, 1, 10, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, '10', 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, true, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, false, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, null, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, undefined, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, [ '1' ], 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, {}, 1, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, ( x: number ): number => x, 1, A, 10 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eighth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', 10, 10, 1.0, x, 1, y, '10', A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, true, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, false, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, null, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, undefined, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, [], A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, {}, A, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, ( x: number ): number => x, A, 10 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a ninth argument which is not a numeric array... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, 10, 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, '10', 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, true, 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, false, 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, null, 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, undefined, 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, [ '1' ], 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, {}, 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, ( x: number ): number => x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a tenth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, '10' ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, true ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, false ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, null ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, undefined ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, [] ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, {} ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger(); // $ExpectError + gger( 'row-major' ); // $ExpectError + gger( 'row-major', 10 ); // $ExpectError + gger( 'row-major', 10, 10 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1 ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A ); // $ExpectError + gger( 'row-major', 10, 10, 1.0, x, 1, y, 1, A, 10, 10 ); // $ExpectError +} + +// Attached to main export is an `ndarray` method which returns an array... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectType Float64Array +} + +// The compiler throws an error if the function is provided a first argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( '10', 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( true, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( false, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( null, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( undefined, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( [], 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( {}, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( ( x: number ): number => x, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, '10', 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, true, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, false, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, null, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, undefined, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, [], 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, {}, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, ( x: number ): number => x, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, '10', x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, true, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, false, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, null, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, undefined, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, [], x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, {}, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, ( x: number ): number => x, x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a numeric array... +{ + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, 10, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, '10', 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, true, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, false, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, null, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, undefined, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, [ '1' ], 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, {}, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, ( x: number ): number => x, 1, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, '10', 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, true, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, false, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, null, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, undefined, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, [], 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, {}, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, ( x: number ): number => x, 0, y, 1, 0, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, 1, '10', y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, true, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, false, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, null, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, undefined, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, [], y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, {}, y, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, ( x: number ): number => x, y, 1, 0, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a seventh argument which is not a numeric array... +{ + const x = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, 1, 0, 10, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, '10', 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, true, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, false, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, null, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, undefined, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, [ '1' ], 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, {}, 1, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, ( x: number ): number => x, 1, 0, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eighth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, '10', 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, true, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, false, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, null, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, undefined, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, [], 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, {}, 0, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, ( x: number ): number => x, 0, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a ninth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, '10', A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, true, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, false, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, null, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, undefined, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, [], A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, {}, A, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, ( x: number ): number => x, A, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a tenth argument which is not a numeric array... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, 10, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, '10', 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, true, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, false, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, null, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, undefined, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, [ '1' ], 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, {}, 10, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, ( x: number ): number => x, 10, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eleventh argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, '10', 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, true, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, false, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, null, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, undefined, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, [], 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, {}, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, ( x: number ): number => x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a twelfth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, '10', 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, true, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, false, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, null, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, undefined, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, [], 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, {}, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, ( x: number ): number => x, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a thirteenth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, '10' ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, true ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, false ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, null ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, undefined ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, [] ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, {} ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + gger.ndarray(); // $ExpectError + gger.ndarray( 10 ); // $ExpectError + gger.ndarray( 10, 10 ); // $ExpectError + gger.ndarray( 10, 10, 1.0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1 ); // $ExpectError + gger.ndarray( 10, 10, 1.0, x, 1, 0, y, 1, 0, A, 10, 1, 0, 10 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/examples/index.js b/lib/node_modules/@stdlib/blas/base/gger/examples/index.js new file mode 100644 index 000000000000..a11af82fa4b1 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/examples/index.js @@ -0,0 +1,39 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); +var gger = require( './../lib' ); + +var opts = { + 'dtype': 'generic' +}; + +var M = 3; +var N = 5; + +var A = discreteUniform( M*N, 0, 255, opts ); +var x = discreteUniform( M, 0, 255, opts ); +var y = discreteUniform( N, 0, 255, opts ); + +gger( 'row-major', M, N, 1.0, x, 1, y, 1, A, N ); +console.log( A ); + +gger.ndarray( M, N, 1.0, x, 1, 0, y, 1, 0, A, 1, M, 0 ); +console.log( A ); diff --git a/lib/node_modules/@stdlib/blas/base/gger/lib/accessors.js b/lib/node_modules/@stdlib/blas/base/gger/lib/accessors.js new file mode 100644 index 000000000000..5520d92e981e --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/lib/accessors.js @@ -0,0 +1,154 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' ); + + +// MAIN // + +/** +* Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. +* +* @private +* @param {NonNegativeInteger} M - number of rows in the matrix `A` +* @param {NonNegativeInteger} N - number of columns in the matrix `A` +* @param {number} alpha - scalar constant +* @param {Object} x - first input vector object +* @param {Collection} x.data - first input vector data +* @param {Array} x.accessors - array element accessors +* @param {integer} strideX - `x` stride length +* @param {NonNegativeInteger} offsetX - starting index for `x` +* @param {Object} y - second input vector object +* @param {Collection} y.data - second input vector data +* @param {Array} y.accessors - array element accessors +* @param {integer} strideY - `y` stride length +* @param {NonNegativeInteger} offsetY - starting index for `y` +* @param {Object} A - output matrix object +* @param {Collection} A.data - output matrix vector data +* @param {Array} A.accessors - array element accessors +* @param {integer} strideA1 - stride of the first dimension of `A` +* @param {integer} strideA2 - stride of the second dimension of `A` +* @param {NonNegativeInteger} offsetA - starting index for `A` +* @returns {Object} output array object +* +* @example +* var toAccessorArray = require( '@stdlib/array/base/to-accessor-array' ); +* var arraylike2object = require( '@stdlib/array/base/arraylike2object' ); +* +* var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; +* var x = [ 1.0, 1.0 ]; +* var y = [ 1.0, 1.0, 1.0 ]; +* +* gger( 2, 3, 1.0, arraylike2object( toAccessorArray( x ) ), 1, 0, arraylike2object( toAccessorArray( y ) ), 1, 0, arraylike2object( toAccessorArray( A ) ), 3, 1, 0 ); +* // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +*/ +function gger( M, N, alpha, x, strideX, offsetX, y, strideY, offsetY, A, strideA1, strideA2, offsetA ) { // eslint-disable-line max-params, max-len + var getX; + var getY; + var getA; + var setA; + var xbuf; + var ybuf; + var Abuf; + var tmp; + var da0; + var da1; + var S0; + var S1; + var sx; + var sy; + var ia; + var ix; + var iy; + var i0; + var i1; + var v; + + // Cache references to array data: + xbuf = x.data; + ybuf = y.data; + Abuf = A.data; + + // Cache references to element accessors: + getX = x.accessors[ 0 ]; + getY = y.accessors[ 0 ]; + getA = A.accessors[ 0 ]; + setA = A.accessors[ 1 ]; + + // Note on variable naming convention: S#, da#, ia#, i# where # corresponds to the loop number, with `0` being the innermost loop... + + // Extract loop variables for purposes of loop interchange: dimensions and loop offset (pointer) increments... + if ( isRowMajor( [ strideA1, strideA2 ] ) ) { + // For row-major matrices, the last dimension has the fastest changing index... + S0 = N; + S1 = M; + da0 = strideA2; // offset increment for innermost loop + da1 = strideA1 - ( S0*strideA2 ); // offset increment for outermost loop + + // Swap the vectors... + tmp = xbuf; + xbuf = ybuf; + ybuf = tmp; + + tmp = strideX; + strideX = strideY; + strideY = tmp; + + tmp = offsetX; + offsetX = offsetY; + offsetY = tmp; + } else { // order === 'column-major' + // For column-major matrices, the first dimension has the fastest changing index... + S0 = M; + S1 = N; + da0 = strideA1; // offset increment for innermost loop + da1 = strideA2 - ( S0*strideA1 ); // offset increment for outermost loop + } + sx = strideX; + sy = strideY; + ix = offsetX; + iy = offsetY; + ia = offsetA; + for ( i1 = 0; i1 < S1; i1++ ) { + // Check whether we can avoid the inner loop entirely... + if ( getY( ybuf, iy ) === 0.0 ) { + ia += da0 * S0; + } else { + tmp = alpha * getY( ybuf, iy ); + ix = offsetX; + for ( i0 = 0; i0 < S0; i0++ ) { + v = getX( xbuf, ix ) * tmp; + setA( Abuf, ia, getA( Abuf, ia ) + v ); + ix += sx; + ia += da0; + } + } + iy += sy; + ia += da1; + } + return A; +} + + +// EXPORTS // + +module.exports = gger; diff --git a/lib/node_modules/@stdlib/blas/base/gger/lib/base.js b/lib/node_modules/@stdlib/blas/base/gger/lib/base.js new file mode 100644 index 000000000000..c788eca3bfa2 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/lib/base.js @@ -0,0 +1,199 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var arraylike2object = require( '@stdlib/array/base/arraylike2object' ); +var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' ); +var accessors = require( './accessors.js' ); + + +// MAIN // + +/** +* Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. +* +* ## Notes +* +* - To help motivate the use of loop interchange below, we first recognize that a matrix stored in row-major order is equivalent to storing the matrix's transpose in column-major order. For example, consider the following 2-by-3 matrix `A` +* +* ```tex +* A = \begin{bmatrix} +* 1 & 2 & 3 \\ +* 4 & 5 & 6 +* \end{bmatrix} +* ``` +* +* When stored in a linear buffer in column-major order, `A` becomes +* +* ```text +* [ 1 4 2 5 3 6 ] +* ``` +* +* When stored in a linear buffer in row-major order, `A` becomes +* +* ```text +* [ 1 2 3 4 5 6 ] +* ``` +* +* Now consider the transpose of `A` +* +* ```tex +* A^T = \begin{bmatrix} +* 1 & 4 \\ +* 2 & 5 \\ +* 3 & 6 +* \end{bmatrix} +* ``` +* +* When the transpose is stored in a linear buffer in column-major order, the transpose becomes +* +* ```text +* [ 1 2 3 4 5 6 ] +* ``` +* +* Similarly, when stored in row-major order, the transpose becomes +* +* ```text +* [ 1 4 2 5 3 6 ] +* ``` +* +* As may be observed, `A` stored in column-major order is equivalent to storing the transpose of `A` in row-major order, and storing `A` in row-major order is equivalent to storing the transpose of `A` in column-major order, and vice versa. +* +* Hence, we can interpret an `M` by `N` row-major matrix `B` as the matrix `A^T` stored in column-major order. In which case, we can derive an update equation for `B` as follows: +* +* ```tex +* \begin{align*} +* B &= A^T \\ +* &= (\alpha \bar{x} \bar{y}^T + A)^T \\ +* &= (\alpha \bar{x} \bar{y}^T)^T + A^T \\ +* &= \alpha (\bar{x} \bar{y}^T)^T + A^T \\ +* &= \alpha \bar{y} \bar{x}^T + A^T \\ +* &= \alpha \bar{y} \bar{x}^T + B +* \end{align*} +* ``` +* +* Accordingly, we can reuse the same loop logic for column-major and row-major `A` by simply swapping `x` and `y` and `M` and `N` when `A` is row-major order. That is the essence of loop interchange. +* +* @private +* @param {NonNegativeInteger} M - number of rows in the matrix `A` +* @param {NonNegativeInteger} N - number of columns in the matrix `A` +* @param {number} alpha - scalar constant +* @param {NumericArray} x - first input vector +* @param {integer} strideX - `x` stride length +* @param {NonNegativeInteger} offsetX - starting index for `x` +* @param {NumericArray} y - second input vector +* @param {integer} strideY - `y` stride length +* @param {NonNegativeInteger} offsetY - starting index for `y` +* @param {NumericArray} A - input matrix +* @param {integer} strideA1 - stride of the first dimension of `A` +* @param {integer} strideA2 - stride of the second dimension of `A` +* @param {NonNegativeInteger} offsetA - starting index for `A` +* @returns {NumericArray} `A` +* +* @example +* var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; +* var x = [ 1.0, 1.0 ]; +* var y = [ 1.0, 1.0, 1.0 ]; +* +* gger( 2, 3, 1.0, x, 1, 0, y, 1, 0, A, 3, 1, 0 ); +* // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +*/ +function gger( M, N, alpha, x, strideX, offsetX, y, strideY, offsetY, A, strideA1, strideA2, offsetA ) { // eslint-disable-line max-params, max-len + var tmp; + var da0; + var da1; + var S0; + var S1; + var sx; + var sy; + var ia; + var ix; + var iy; + var i0; + var i1; + var ox; + var oy; + var oa; + + // Note on variable naming convention: S#, da#, ia#, i# where # corresponds to the loop number, with `0` being the innermost loop... + + ox = arraylike2object( x ); + oy = arraylike2object( y ); + oa = arraylike2object( A ); + if ( ox.accessorProtocol || oy.accessorProtocol || oa.accessorProtocol ) { + accessors( M, N, alpha, ox, strideX, offsetX, oy, strideY, offsetY, oa, strideA1, strideA2, offsetA ); + return A; + } + // Extract loop variables for purposes of loop interchange: dimensions and loop offset (pointer) increments... + if ( isRowMajor( [ strideA1, strideA2 ] ) ) { + // For row-major matrices, the last dimension has the fastest changing index... + S0 = N; + S1 = M; + da0 = strideA2; // offset increment for innermost loop + da1 = strideA1 - ( S0*strideA2 ); // offset increment for outermost loop + + // Swap the vectors... + tmp = x; + x = y; + y = tmp; + + tmp = strideX; + strideX = strideY; + strideY = tmp; + + tmp = offsetX; + offsetX = offsetY; + offsetY = tmp; + } else { // order === 'column-major' + // For column-major matrices, the first dimension has the fastest changing index... + S0 = M; + S1 = N; + da0 = strideA1; // offset increment for innermost loop + da1 = strideA2 - ( S0*strideA1 ); // offset increment for outermost loop + } + sx = strideX; + sy = strideY; + ix = offsetX; + iy = offsetY; + ia = offsetA; + for ( i1 = 0; i1 < S1; i1++ ) { + // Check whether we can avoid the inner loop entirely... + if ( y[ iy ] === 0.0 ) { + ia += da0 * S0; + } else { + tmp = alpha * y[ iy ]; + ix = offsetX; + for ( i0 = 0; i0 < S0; i0++ ) { + A[ ia ] += x[ ix ] * tmp; + ix += sx; + ia += da0; + } + } + iy += sy; + ia += da1; + } + return A; +} + + +// EXPORTS // + +module.exports = gger; diff --git a/lib/node_modules/@stdlib/blas/base/gger/lib/index.js b/lib/node_modules/@stdlib/blas/base/gger/lib/index.js new file mode 100644 index 000000000000..b454356189d1 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/lib/index.js @@ -0,0 +1,61 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* BLAS level 2 routine to perform the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. +* +* @module @stdlib/blas/base/gger +* +* @example +* var gger = require( '@stdlib/blas/base/gger' ); +* +* var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; +* var x = [ 1.0, 1.0 ]; +* var y = [ 1.0, 1.0, 1.0 ]; +* +* gger( 'row-major', 2, 3, 1.0, x, 1, y, 1, A, 3 ); +* // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +* +* @example +* var gger = require( '@stdlib/blas/base/gger' ); +* +* var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; +* var x = [ 1.0, 1.0 ]; +* var y = [ 1.0, 1.0, 1.0 ]; +* +* gger.ndarray( 2, 3, 1.0, x, 1, 0, y, 1, 0, A, 3, 1, 0 ); +* // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +*/ + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var main = require( './main.js' ); +var ndarray = require( './ndarray.js' ); + + +// MAIN // + +setReadOnly( main, 'ndarray', ndarray ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/blas/base/gger/lib/main.js b/lib/node_modules/@stdlib/blas/base/gger/lib/main.js new file mode 100644 index 000000000000..480ed8ffd73e --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/lib/main.js @@ -0,0 +1,113 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' ); +var isLayout = require( '@stdlib/blas/base/assert/is-layout' ); +var stride2offset = require( '@stdlib/strided/base/stride2offset' ); +var max = require( '@stdlib/math/base/special/fast/max' ); +var format = require( '@stdlib/string/format' ); +var base = require( './base.js' ); + + +// MAIN // + +/** +* Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. +* +* @param {string} order - storage layout +* @param {NonNegativeInteger} M - number of rows in the matrix `A` +* @param {NonNegativeInteger} N - number of columns in the matrix `A` +* @param {number} alpha - scalar constant +* @param {NumericArray} x - first input vector +* @param {integer} strideX - `x` stride length +* @param {NumericArray} y - second input vector +* @param {integer} strideY - `y` stride length +* @param {NumericArray} A - output matrix +* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) +* @throws {TypeError} first argument must be a valid order +* @throws {RangeError} second argument must be a nonnegative integer +* @throws {RangeError} third argument must be a nonnegative integer +* @throws {RangeError} sixth argument must be non-zero +* @throws {RangeError} eighth argument must be non-zero +* @throws {RangeError} tenth argument must be a valid stride +* @returns {NumericArray} `A` +* +* @example +* var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; +* var x = [ 1.0, 1.0 ]; +* var y = [ 1.0, 1.0, 1.0 ]; +* +* gger( 'row-major', 2, 3, 1.0, x, 1, y, 1, A, 3 ); +* // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +*/ +function gger( order, M, N, alpha, x, strideX, y, strideY, A, LDA ) { + var iscm; + var vala; + var sa1; + var sa2; + var ox; + var oy; + + if ( !isLayout( order ) ) { + throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) ); + } + if ( M < 0 ) { + throw new RangeError( format( 'invalid argument. Second argument must be a nonnegative integer. Value: `%d`.', M ) ); + } + if ( N < 0 ) { + throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', N ) ); + } + if ( strideX === 0 ) { + throw new RangeError( format( 'invalid argument. Sixth argument must be non-zero. Value: `%d`.', strideX ) ); + } + if ( strideY === 0 ) { + throw new RangeError( format( 'invalid argument. Eighth argument must be non-zero. Value: `%d`.', strideY ) ); + } + iscm = isColumnMajor( order ); + if ( iscm ) { + vala = M; + } else { + vala = N; + } + if ( LDA < max( 1, vala ) ) { + throw new RangeError( format( 'invalid argument. Tenth argument must be greater than or equal to max(1,%d). Value: `%d`.', vala, LDA ) ); + } + // Check if we can early return... + if ( M === 0 || N === 0 || alpha === 0.0 ) { + return A; + } + ox = stride2offset( M, strideX ); + oy = stride2offset( N, strideY ); + if ( iscm ) { + sa1 = 1; + sa2 = LDA; + } else { // order === 'row-major' + sa1 = LDA; + sa2 = 1; + } + return base( M, N, alpha, x, strideX, ox, y, strideY, oy, A, sa1, sa2, 0 ); +} + + +// EXPORTS // + +module.exports = gger; diff --git a/lib/node_modules/@stdlib/blas/base/gger/lib/ndarray.js b/lib/node_modules/@stdlib/blas/base/gger/lib/ndarray.js new file mode 100644 index 000000000000..066182a947f8 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/lib/ndarray.js @@ -0,0 +1,82 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var format = require( '@stdlib/string/format' ); +var base = require( './base.js' ); + + +// MAIN // + +/** +* Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix. +* +* @param {NonNegativeInteger} M - number of rows in the matrix `A` +* @param {NonNegativeInteger} N - number of columns in the matrix `A` +* @param {number} alpha - scalar constant +* @param {NumericArray} x - first input vector +* @param {integer} strideX - `x` stride length +* @param {NonNegativeInteger} offsetX - starting index for `x` +* @param {NumericArray} y - second input vector +* @param {integer} strideY - `y` stride length +* @param {NonNegativeInteger} offsetY - starting index for `y` +* @param {NumericArray} A - input matrix +* @param {integer} strideA1 - stride of the first dimension of `A` +* @param {integer} strideA2 - stride of the second dimension of `A` +* @param {NonNegativeInteger} offsetA - starting index for `A` +* @throws {RangeError} first argument must be a nonnegative integer +* @throws {RangeError} second argument must be a nonnegative integer +* @throws {RangeError} fifth argument must be non-zero +* @throws {RangeError} eighth argument must be non-zero +* @returns {NumericArray} `A` +* +* @example +* var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ]; +* var x = [ 1.0, 1.0 ]; +* var y = [ 1.0, 1.0, 1.0 ]; +* +* gger( 2, 3, 1.0, x, 1, 0, y, 1, 0, A, 3, 1, 0 ); +* // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +*/ +function gger( M, N, alpha, x, strideX, offsetX, y, strideY, offsetY, A, strideA1, strideA2, offsetA ) { // eslint-disable-line max-params, max-len + if ( M < 0 ) { + throw new RangeError( format( 'invalid argument. First argument must be a nonnegative integer. Value: `%d`.', M ) ); + } + if ( N < 0 ) { + throw new RangeError( format( 'invalid argument. Second argument must be a nonnegative integer. Value: `%d`.', N ) ); + } + if ( strideX === 0 ) { + throw new RangeError( format( 'invalid argument. Fifth argument must be non-zero. Value: `%d`.', strideX ) ); + } + if ( strideY === 0 ) { + throw new RangeError( format( 'invalid argument. Eighth argument must be non-zero. Value: `%d`.', strideY ) ); + } + // Check if we can early return... + if ( M === 0 || N === 0 || alpha === 0.0 ) { + return A; + } + return base( M, N, alpha, x, strideX, offsetX, y, strideY, offsetY, A, strideA1, strideA2, offsetA ); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = gger; diff --git a/lib/node_modules/@stdlib/blas/base/gger/package.json b/lib/node_modules/@stdlib/blas/base/gger/package.json new file mode 100644 index 000000000000..93cfbb9683c7 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/package.json @@ -0,0 +1,65 @@ +{ + "name": "@stdlib/blas/base/gger", + "version": "0.0.0", + "description": "Perform the rank 1 operation `A = α*x*y^T + A`.", + "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", + "dger", + "linear", + "algebra", + "subroutines", + "array", + "ndarray" + ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major.json new file mode 100644 index 000000000000..277c350146f0 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major.json @@ -0,0 +1,22 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 1.0 ], + "strideX": 1, + "offsetX": 0, + "y": [ 1.0, 1.0, 1.0 ], + "strideY": 1, + "offsetY": 0, + "A": [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 2, + "strideA1": 1, + "strideA2": 2, + "offsetA": 0, + "A_out": [ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_complex_access_pattern.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_complex_access_pattern.json new file mode 100644 index 000000000000..220746be33c5 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_complex_access_pattern.json @@ -0,0 +1,21 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 2.0, 0.0, 1.0, 0.0 ], + "strideX": -2, + "offsetX": 2, + "y": [ 3.0, 0.0, 2.0, 0.0, 1.0, 0.0 ], + "strideY": -2, + "offsetY": 4, + "A": [ 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 1.0, 0.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "strideA1": -2, + "strideA2": -8, + "offsetA": 22, + "A_out": [ 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 2.0, 0.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_oa.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_oa.json new file mode 100644 index 000000000000..fd257c7fba48 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_oa.json @@ -0,0 +1,21 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 1.0, 0.0 ], + "strideX": 2, + "offsetX": 0, + "y": [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ], + "strideY": 2, + "offsetY": 0, + "A": [ 0.0, 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "strideA1": 1, + "strideA2": 2, + "offsetA": 1, + "A_out": [ 0.0, 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_ox.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_ox.json new file mode 100644 index 000000000000..ac3db51d9545 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_ox.json @@ -0,0 +1,22 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 0.0, 0.0, 1.0, 1.0 ], + "strideX": 1, + "offsetX": 2, + "y": [ 1.0, 1.0, 1.0 ], + "strideY": 1, + "offsetY": 0, + "A": [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 2, + "strideA1": 1, + "strideA2": 2, + "offsetA": 0, + "A_out": [ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_oy.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_oy.json new file mode 100644 index 000000000000..d11a7ca06684 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_oy.json @@ -0,0 +1,22 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 1.0 ], + "strideX": 1, + "offsetX": 0, + "y": [ 0.0, 0.0, 1.0, 1.0, 1.0 ], + "strideY": 1, + "offsetY": 2, + "A": [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 2, + "strideA1": 1, + "strideA2": 2, + "offsetA": 0, + "A_out": [ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1_sa2.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1_sa2.json new file mode 100644 index 000000000000..702e051e70b9 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1_sa2.json @@ -0,0 +1,21 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 2.0, 0.0 ], + "strideX": 2, + "offsetX": 0, + "y": [ 1.0, 0.0, 2.0, 0.0, 3.0, 0.0 ], + "strideY": 2, + "offsetY": 0, + "A": [ 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 6.0, 0.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "strideA1": 2, + "strideA2": 8, + "offsetA": 4, + "A_out": [ 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 12.0, 0.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1_sa2n.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1_sa2n.json new file mode 100644 index 000000000000..f6b6b56f07a6 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1_sa2n.json @@ -0,0 +1,21 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 2.0, 0.0 ], + "strideX": 2, + "offsetX": 0, + "y": [ 1.0, 0.0, 2.0, 0.0, 3.0, 0.0 ], + "strideY": 2, + "offsetY": 0, + "A": [ 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 4.0, 0.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "strideA1": 2, + "strideA2": -8, + "offsetA": 20, + "A_out": [ 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 6.0, 0.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1n_sa2.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1n_sa2.json new file mode 100644 index 000000000000..a4df499c44c5 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1n_sa2.json @@ -0,0 +1,21 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 2.0, 0.0 ], + "strideX": 2, + "offsetX": 0, + "y": [ 1.0, 0.0, 2.0, 0.0, 3.0, 0.0 ], + "strideY": 2, + "offsetY": 0, + "A": [ 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 3.0, 0.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "strideA1": -2, + "strideA2": 8, + "offsetA": 6, + "A_out": [ 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 6.0, 0.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1n_sa2n.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1n_sa2n.json new file mode 100644 index 000000000000..9bbdcc5d25ff --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_sa1n_sa2n.json @@ -0,0 +1,21 @@ +{ + "order": "column-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 2.0, 0.0 ], + "strideX": 2, + "offsetX": 0, + "y": [ 1.0, 0.0, 2.0, 0.0, 3.0, 0.0 ], + "strideY": 2, + "offsetY": 0, + "A": [ 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 1.0, 0.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "strideA1": -2, + "strideA2": -8, + "offsetA": 22, + "A_out": [ 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 2.0, 0.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_x_zeros.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/column_major_x_zeros.json new file mode 100644 index 000000000000..7b48b4908fde --- /dev/null +++ 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999.0, + 999.0 + ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_x_zeros.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_x_zeros.json new file mode 100644 index 000000000000..e677e3e2b655 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_x_zeros.json @@ -0,0 +1,22 @@ +{ + "order": "row-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 0.0, 0.0 ], + "strideX": 1, + "offsetX": 0, + "y": [ 1.0, 1.0, 1.0 ], + "strideY": 1, + "offsetY": 0, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 3, + "strideA1": 3, + "strideA2": 1, + "offsetA": 0, + "A_out": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xnyn.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xnyn.json new file mode 100644 index 000000000000..f158f9dc7d90 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xnyn.json @@ -0,0 +1,22 @@ +{ + "order": "row-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 1.0, 0.0 ], + "strideX": -2, + "offsetX": 2, + "y": [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ], + "strideY": -2, + "offsetY": 4, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 3, + "strideA1": 3, + "strideA2": 1, + "offsetA": 0, + "A_out": [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xnyp.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xnyp.json new file mode 100644 index 000000000000..7fb10bf73ee5 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xnyp.json @@ -0,0 +1,22 @@ +{ + "order": "row-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 1.0, 0.0 ], + "strideX": -2, + "offsetX": 2, + "y": [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ], + "strideY": 2, + "offsetY": 0, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 3, + "strideA1": 3, + "strideA2": 1, + "offsetA": 0, + "A_out": [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xpyn.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xpyn.json new file mode 100644 index 000000000000..66a5aedb4406 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xpyn.json @@ -0,0 +1,22 @@ +{ + "order": "row-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 1.0, 0.0 ], + "strideX": 2, + "offsetX": 0, + "y": [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ], + "strideY": -2, + "offsetY": 4, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 3, + "strideA1": 3, + "strideA2": 1, + "offsetA": 0, + "A_out": [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xpyp.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xpyp.json new file mode 100644 index 000000000000..43f67e9fb316 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_xpyp.json @@ -0,0 +1,22 @@ +{ + "order": "row-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 0.0, 1.0, 0.0 ], + "strideX": 2, + "offsetX": 0, + "y": [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ], + "strideY": 2, + "offsetY": 0, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 3, + "strideA1": 3, + "strideA2": 1, + "offsetA": 0, + "A_out": [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_y_zeros.json b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_y_zeros.json new file mode 100644 index 000000000000..3aadc0dd60ca --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/fixtures/row_major_y_zeros.json @@ -0,0 +1,22 @@ +{ + "order": "row-major", + "M": 2, + "N": 3, + "alpha": 1.0, + "x": [ 1.0, 1.0 ], + "strideX": 1, + "offsetX": 0, + "y": [ 0.0, 0.0, 0.0 ], + "strideY": 1, + "offsetY": 0, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ], + "A_mat": [ + [ 1.0, 2.0, 3.0 ], + [ 4.0, 5.0, 6.0 ] + ], + "lda": 3, + "strideA1": 3, + "strideA2": 1, + "offsetA": 0, + "A_out": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/test.js b/lib/node_modules/@stdlib/blas/base/gger/test/test.js new file mode 100644 index 000000000000..08f1b6b16860 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/test.js @@ -0,0 +1,38 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var gcopy = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof gcopy, '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 gcopy.ndarray, 'function', 'method is a function' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/test.main.js b/lib/node_modules/@stdlib/blas/base/gger/test/test.main.js new file mode 100644 index 000000000000..3c404c11e760 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/test.main.js @@ -0,0 +1,1287 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* eslint-disable max-len */ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var toAccessorArray = require( '@stdlib/array/base/to-accessor-array' ); +var copy = require( '@stdlib/array/base/copy' ); +var gger = require( './../lib/main.js' ); + + +// FIXTURES // + +var cm = require( './fixtures/column_major.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' ); +var cx0 = require( './fixtures/column_major_x_zeros.json' ); +var cy0 = require( './fixtures/column_major_y_zeros.json' ); + +var rm = require( './fixtures/row_major.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 rx0 = require( './fixtures/row_major_x_zeros.json' ); +var ry0 = require( './fixtures/row_major_y_zeros.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof gger, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 10', function test( t ) { + t.strictEqual( gger.length, 10, 'returns expected value' ); + t.end(); +}); + +tape( 'the function throws an error if provided an invalid first argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( value, data.M, data.N, data.alpha, data.x, data.strideX, data.y, data.strideY, data.A, data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid first argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( value, data.M, data.N, data.alpha, toAccessorArray( data.x ), data.strideX, toAccessorArray( data.y ), data.strideY, toAccessorArray( data.A ), data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid second argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.order, value, data.N, data.alpha, data.x, data.strideX, data.y, data.strideY, data.A, data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid second argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.order, value, data.N, data.alpha, toAccessorArray( data.x ), data.strideX, toAccessorArray( data.y ), data.strideY, toAccessorArray( data.A ), data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid third argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.order, data.M, value, data.alpha, data.x, data.strideX, data.y, data.strideY, data.A, data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid third argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.order, data.M, value, data.alpha, toAccessorArray( data.x ), data.strideX, toAccessorArray( data.y ), data.strideY, toAccessorArray( data.A ), data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid sixth argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.order, data.M, data.N, data.alpha, data.x, value, data.y, data.strideY, data.A, data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid sixth argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.order, data.M, data.N, data.alpha, toAccessorArray( data.x ), value, toAccessorArray( data.y ), data.strideY, toAccessorArray( data.A ), data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid eighth argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.order, data.M, data.N, data.alpha, data.x, data.strideX, data.y, value, data.A, data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid eighth argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.order, data.M, data.N, data.alpha, toAccessorArray( data.x ), data.strideX, toAccessorArray( data.y ), value, toAccessorArray( data.A ), data.LDA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid tenth argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + values = [ + -3, + -2, + -1, + 0, + 1 + ]; + + 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() { + gger( data.order, data.M, data.N, data.alpha, data.x, data.strideX, data.y, data.strideY, data.A, value ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid tenth argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + values = [ + -3, + -2, + -1, + 0, + 1 + ]; + + 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() { + gger( data.order, data.M, data.N, data.alpha, toAccessorArray( data.x ), data.strideX, toAccessorArray( data.y ), data.strideY, toAccessorArray( data.A ), value ); + }; + } +}); + +tape( 'the function the rank 1 operation `A = α*x*y^T + A` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function the rank 1 operation `A = α*x*y^T + A` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function the rank 1 operation `A = α*x*y^T + A` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function the rank 1 operation `A = α*x*y^T + A` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the input matrix (row-major)', function test( t ) { + var data; + var out; + var a; + var x; + var y; + + data = rm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the input matrix (row-major) (accessors)', function test( t ) { + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the input matrix (column-major)', function test( t ) { + var data; + var out; + var a; + var x; + var y; + + data = cm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the input matrix (column-major) (accessors)', function test( t ) { + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the input matrix unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A; + + out = gger( data.order, 0, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + out = gger( data.order, data.M, 0, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the input matrix unchanged (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A; + + out = gger( data.order, 0, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + out = gger( data.order, data.M, 0, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the input matrix unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A; + + out = gger( data.order, 0, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + out = gger( data.order, data.M, 0, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the input matrix unchanged (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A; + + out = gger( data.order, 0, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + out = gger( data.order, data.M, 0, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0.0`, the function returns the input matrix unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A; + + out = gger( data.order, data.M, data.N, 0.0, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0.0`, the function returns the input matrix unchanged (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A; + + out = gger( data.order, data.M, data.N, 0.0, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0.0`, the function returns the input matrix unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A; + + out = gger( data.order, data.M, data.N, 0.0, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0.0`, the function returns the input matrix unchanged (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A; + + out = gger( data.order, data.M, data.N, 0.0, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `x` contains only zeros, the function returns the input matrix unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rx0; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `x` contains only zeros, the function returns the input matrix unchanged (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rx0; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `x` contains only zeros, the function returns the input matrix unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cx0; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `x` contains only zeros, the function returns the input matrix unchanged (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cx0; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `y` contains only zeros, the function returns the input matrix unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ry0; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `y` contains only zeros, the function returns the input matrix unchanged (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = ry0; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `y` contains only zeros, the function returns the input matrix unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cy0; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `y` contains only zeros, the function returns the input matrix unchanged (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cy0; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying `x` and `y` strides (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rxpyp; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying `x` and `y` strides (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rxpyp; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying `x` and `y` strides (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cxpyp; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying `x` and `y` strides (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cxpyp; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `x` stride (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rxnyp; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `x` stride (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rxnyp; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `x` stride (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cxnyp; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `x` stride (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cxnyp; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `y` stride (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rxpyn; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `y` stride (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rxpyn; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `y` stride (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cxpyn; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `y` stride (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cxpyn; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports complex access patterns (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rxnyn; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports complex access patterns (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rxnyn; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports complex access patterns (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cxnyn; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports complex access patterns (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cxnyn; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.order, data.M, data.N, data.alpha, x, data.strideX, y, data.strideY, a, data.lda ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/blas/base/gger/test/test.ndarray.js b/lib/node_modules/@stdlib/blas/base/gger/test/test.ndarray.js new file mode 100644 index 000000000000..436873aa7746 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/gger/test/test.ndarray.js @@ -0,0 +1,1932 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* eslint-disable max-len */ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var toAccessorArray = require( '@stdlib/array/base/to-accessor-array' ); +var copy = require( '@stdlib/array/base/copy' ); +var gger = require( './../lib/ndarray.js' ); + + +// FIXTURES // + +var cm = require( './fixtures/column_major.json' ); +var coa = require( './fixtures/column_major_oa.json' ); +var cox = require( './fixtures/column_major_ox.json' ); +var coy = require( './fixtures/column_major_oy.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' ); +var csa1sa2 = require( './fixtures/column_major_sa1_sa2.json' ); +var csa1nsa2 = require( './fixtures/column_major_sa1n_sa2.json' ); +var csa1sa2n = require( './fixtures/column_major_sa1_sa2n.json' ); +var csa1nsa2n = require( './fixtures/column_major_sa1n_sa2n.json' ); +var ccap = require( './fixtures/column_major_complex_access_pattern.json' ); +var cx0 = require( './fixtures/column_major_x_zeros.json' ); +var cy0 = require( './fixtures/column_major_y_zeros.json' ); + +var rm = require( './fixtures/row_major.json' ); +var roa = require( './fixtures/row_major_oa.json' ); +var rox = require( './fixtures/row_major_ox.json' ); +var roy = require( './fixtures/row_major_oy.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 rsa1sa2 = require( './fixtures/row_major_sa1_sa2.json' ); +var rsa1nsa2 = require( './fixtures/row_major_sa1n_sa2.json' ); +var rsa1sa2n = require( './fixtures/row_major_sa1_sa2n.json' ); +var rsa1nsa2n = require( './fixtures/row_major_sa1n_sa2n.json' ); +var rcap = require( './fixtures/row_major_complex_access_pattern.json' ); +var rx0 = require( './fixtures/row_major_x_zeros.json' ); +var ry0 = require( './fixtures/row_major_y_zeros.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof gger, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 13', function test( t ) { + t.strictEqual( gger.length, 13, 'returns expected value' ); + t.end(); +}); + +tape( 'the function throws an error if provided an invalid first argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( value, data.N, data.alpha, data.x, data.strideX, data.offsetX, data.y, data.strideY, data.offsetY, data.A, data.strideA1, data.strideA2, data.offsetA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid first argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( value, data.N, data.alpha, toAccessorArray( data.x ), data.strideX, data.offsetX, toAccessorArray( data.y ), data.strideY, data.offsetY, toAccessorArray( data.A ), data.strideA1, data.strideA2, data.offsetA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid second argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.M, value, data.alpha, data.x, data.strideX, data.offsetX, data.y, data.strideY, data.offsetY, data.A, data.strideA1, data.strideA2, data.offsetA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid second argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.M, value, data.alpha, toAccessorArray( data.x ), data.strideX, data.offsetX, toAccessorArray( data.y ), data.strideY, data.offsetY, toAccessorArray( data.A ), data.strideA1, data.strideA2, data.offsetA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid fifth argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.M, data.N, data.alpha, data.x, value, data.offsetX, data.y, data.strideY, data.offsetY, data.A, data.strideA1, data.strideA2, data.offsetA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid fifth argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.M, data.N, data.alpha, toAccessorArray( data.x ), value, data.offsetX, toAccessorArray( data.y ), data.strideY, data.offsetY, toAccessorArray( data.A ), data.strideA1, data.strideA2, data.offsetA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid eighth argument', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.M, data.N, data.alpha, data.x, data.strideX, data.offsetX, data.y, value, data.offsetY, data.A, data.strideA1, data.strideA2, data.offsetA ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid eighth argument (accessors)', function test( t ) { + var values; + var data; + var i; + + data = rm; + + 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() { + gger( data.M, data.N, data.alpha, toAccessorArray( data.x ), data.strideX, data.offsetX, toAccessorArray( data.y ), value, data.offsetY, toAccessorArray( data.A ), data.strideA1, data.strideA2, data.offsetA ); + }; + } +}); + +tape( 'the function the rank 1 operation `A = α*x*y^T + A` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function the rank 1 operation `A = α*x*y^T + A` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function the rank 1 operation `A = α*x*y^T + A` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function the rank 1 operation `A = α*x*y^T + A` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the input matrix (row-major)', function test( t ) { + var data; + var out; + var a; + var x; + var y; + + data = rm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the input matrix (row-major) (accessors)', function test( t ) { + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the input matrix (column-major)', function test( t ) { + var data; + var out; + var a; + var x; + var y; + + data = cm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the input matrix (column-major) (accessors)', function test( t ) { + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the input matrix unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A; + + out = gger( 0, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + out = gger( data.M, 0, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the input matrix unchanged (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = copy( data.A ); + + out = gger( 0, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + out = gger( data.M, 0, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the input matrix unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A; + + out = gger( 0, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + out = gger( data.M, 0, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the input matrix unchanged (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = copy( data.A ); + + out = gger( 0, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + out = gger( data.M, 0, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0.0`, the function returns the input matrix unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A; + + out = gger( data.M, data.N, 0.0, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0.0`, the function returns the input matrix unchanged (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A; + + out = gger( data.M, data.N, 0.0, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `α` is `0.0`, the function returns the input matrix unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cm; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A; + + out = gger( data.M, data.N, 0.0, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0.0`, the function returns the input matrix unchanged (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cm; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A; + + out = gger( data.M, data.N, 0.0, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `x` contains only zeros, the function returns the input matrix unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rx0; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `x` contains only zeros, the function returns the input matrix unchanged (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rx0; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `x` contains only zeros, the function returns the input matrix unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cx0; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `x` contains only zeros, the function returns the input matrix unchanged (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cx0; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `y` contains only zeros, the function returns the input matrix unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ry0; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `y` contains only zeros, the function returns the input matrix unchanged (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = ry0; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `y` contains only zeros, the function returns the input matrix unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cy0; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if `y` contains only zeros, the function returns the input matrix unchanged (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cy0; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying the strides of the first and second dimensions of `A` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rsa1sa2; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying the strides of the first and second dimensions of `A` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rsa1sa2; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying the strides of the first and second dimensions of `A` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = csa1sa2; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying the strides of the first and second dimensions of `A` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = csa1sa2; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports a negative stride for the first dimension of `A` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rsa1nsa2; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports a negative stride for the first dimension of `A` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rsa1nsa2; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports a negative stride for the first dimension of `A` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = csa1nsa2; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports a negative stride for the first dimension of `A` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = csa1nsa2; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports a negative stride for the second dimension of `A` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rsa1sa2n; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports a negative stride for the second dimension of `A` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rsa1sa2n; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports a negative stride for the second dimension of `A` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = csa1sa2n; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports a negative stride for the second dimension of `A` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = csa1sa2n; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports negative strides for `A` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rsa1nsa2n; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports negative strides for `A` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rsa1nsa2n; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports negative strides for `A` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = csa1nsa2n; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports negative strides for `A` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = csa1nsa2n; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `A` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = roa; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `A` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = roa; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `A` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = coa; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `A` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = coa; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying `x` and `y` strides (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rxpyp; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying `x` and `y` strides (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rxpyp; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying `x` and `y` strides (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cxpyp; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying `x` and `y` strides (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cxpyp; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `x` stride (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rxnyp; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `x` stride (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rxnyp; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `x` stride (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cxnyp; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `x` stride (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cxnyp; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `y` stride (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rxpyn; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `y` stride (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rxpyn; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `y` stride (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cxpyn; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying a negative `y` stride (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cxpyn; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying negative strides for `x` and `y` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rxnyn; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying negative strides for `x` and `y` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rxnyn; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying negative strides for `x` and `y` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cxnyn; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying negative strides for `x` and `y` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cxnyn; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `x` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rox; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `x` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rox; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `x` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cox; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `x` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = cox; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `y` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = roy; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `y` (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = roy; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `y` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = coy; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports specifying an offset parameter for `y` (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = coy; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports complex access patterns (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rcap; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports complex access patterns (row-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = rcap; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports complex access patterns (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ccap; + + a = copy( data.A ); + x = copy( data.x ); + y = copy( data.y ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'the function supports complex access patterns (column-major) (accessors)', function test( t ) { + var expected; + var data; + var abuf; + var out; + var a; + var x; + var y; + + data = ccap; + + abuf = copy( data.A ); + a = toAccessorArray( abuf ); + x = toAccessorArray( copy( data.x ) ); + y = toAccessorArray( copy( data.y ) ); + + expected = data.A_out; + + out = gger( data.M, data.N, data.alpha, x, data.strideX, data.offsetX, y, data.strideY, data.offsetY, a, data.strideA1, data.strideA2, data.offsetA ); + t.strictEqual( out, a, 'returns expected value' ); + t.deepEqual( abuf, expected, 'returns expected value' ); + t.end(); +});