diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/README.md b/lib/node_modules/@stdlib/blas/base/dgemv/README.md new file mode 100644 index 00000000000..f3b302f27d3 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/README.md @@ -0,0 +1,268 @@ + + +# dgemv + +> Perform one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A**T*x + β*y`. + +
+ +## Usage + +```javascript +var dgemv = require( '@stdlib/blas/base/dgemv' ); +``` + +#### dgemv( ord, trans, M, N, α, A, LDA, x, sx, β, y, sy ) + +Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A**T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +var y = new Float64Array( [ 1.0, 1.0 ] ); + +dgemv( 'row-major', 'no-transpose', 2, 3, 1.0, A, 3, x, 1, 1.0, y, 1 ); +// y => [ 7.0, 16.0 ] +``` + +The function has the following parameters: + +- **ord**: storage layout. +- **trans**: specifies whether `A` should be transposed, conjugate-transposed, or not transposed. +- **M**: number of rows in the matrix `A`. +- **N**: number of columns in the matrix `A`. +- **α**: scalar constant. +- **A**: input matrix stored in linear memory as a [`Float64Array`][mdn-float64array]. +- **lda**: stride of the first dimension of `A` (leading dimension of `A`). +- **x**: input [`Float64Array`][mdn-float64array]. +- **sx**: index increment for `x`. +- **β**: scalar constant. +- **y**: output [`Float64Array`][mdn-float64array]. +- **sy**: index increment for `y`. + +The stride parameters determine how operations are performed. For example, to iterate over every other element in `x` and `y`, + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] ); +var x = new Float64Array( [ 1.0, 0.0, 1.0, 0.0 ] ); +var y = new Float64Array( [ 1.0, 0.0, 1.0, 0.0 ] ); + +dgemv( 'row-major', 'no-transpose', 2, 2, 1.0, A, 2, x, 2, 1.0, y, 2 ); +// y => [ 4.0, 0.0, 8.0, 0.0 ] +``` + +Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. + + + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +// Initial arrays... +var x0 = new Float64Array( [ 0.0, 1.0, 1.0 ] ); +var y0 = new Float64Array( [ 0.0, 1.0, 1.0 ] ); +var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 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 + +dgemv( 'row-major', 'no-transpose', 2, 2, 1.0, A, 2, x1, -1, 1.0, y1, -1 ); +// y0 => [ 0.0, 8.0, 4.0 ] +``` + +#### dgemv.ndarray( trans, M, N, α, A, sa1, sa2, oa, x, sx, ox, β, y, sy, oy ) + +Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A**T*x + β*y`, using alternative indexing semantics and where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +var y = new Float64Array( [ 1.0, 1.0 ] ); + +dgemv.ndarray( 'no-transpose', 2, 3, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); +// y => [ 7.0, 16.0 ] +``` + +The function has the following additional parameters: + +- **sa1**: stride of the first dimension of `A`. +- **sa2**: stride of the second dimension of `A`. +- **oa**: starting index for `A`. +- **ox**: starting index for `x`. +- **oy**: starting index for `y`. + +While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, + +```javascript +var Float64Array = require( '@stdlib/array/float64' ); + +var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +var x = new Float64Array( [ 0.0, 1.0, 2.0, 3.0 ] ); +var y = new Float64Array( [ 7.0, 8.0, 9.0, 10.0 ] ); + +dgemv.ndarray( 'no-transpose', 2, 3, 1.0, A, 3, 1, 0, x, 1, 1, 1.0, y, -2, 2 ); +// y => [ 39, 8, 23, 10 ] +``` + +
+ + + +
+ +## Notes + +- `dgemv()` corresponds to the [BLAS][blas] level 2 function [`dgemv`][blas-dgemv]. + +
+ + + +
+ +## Examples + + + +```javascript +var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); +var dgemv = require( '@stdlib/blas/base/dgemv' ); + +var opts = { + 'dtype': 'float64' +}; + +var M = 3; +var N = 3; + +var A = discreteUniform( M*N, 0, 255, opts ); +var x = discreteUniform( N, 0, 255, opts ); +var y = discreteUniform( M, 0, 255, opts ); + +dgemv( 'row-major', 'no-transpose', M, N, 1.0, A, N, x, -1, 1.0, y, -1 ); +console.log( y ); + +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/blas/base/dgemv.h" +``` + +#### TODO + +TODO. + +```c +TODO +``` + +TODO + +```c +TODO +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +TODO +``` + +
+ + + +
+ + + + + + + + + + + + + + diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/benchmark/benchmark.js b/lib/node_modules/@stdlib/blas/base/dgemv/benchmark/benchmark.js new file mode 100644 index 00000000000..e91b0723e08 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/benchmark/benchmark.js @@ -0,0 +1,105 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 dgemv = require( './../lib/dgemv.js' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float64' +}; + + +// FUNCTIONS // + +/** +* Creates a benchmark function. +* +* @private +* @param {PositiveInteger} N - array length +* @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; + + /** + * Benchmark function. + * + * @private + * @param {Benchmark} b - benchmark instance + */ + function benchmark( b ) { + var z; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + z = dgemv( 'row-major', 'no-transpose', N, N, 1.0, A, N, x, 1, 1.0, y, 1 ); + if ( isnan( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); + } +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var len; + var min; + var max; + var f; + var i; + + min = 1; // 10^min + max = 6; // 10^max + + for ( i = min; i <= max; i++ ) { + len = floor( pow( pow( 10, i ), 1.0/2.0 ) ); + f = createBenchmark( len ); + bench( pkg+':size='+(len*len), f ); + } +} + +main(); diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/blas/base/dgemv/benchmark/benchmark.ndarray.js new file mode 100644 index 00000000000..8bc8d8248ca --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/benchmark/benchmark.ndarray.js @@ -0,0 +1,105 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2018 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 dgemv = require( './../lib/ndarray.js' ); + + +// VARIABLES // + +var options = { + 'dtype': 'float64' +}; + + +// FUNCTIONS // + +/** +* Creates a benchmark function. +* +* @private +* @param {PositiveInteger} N - array length +* @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; + + /** + * Benchmark function. + * + * @private + * @param {Benchmark} b - benchmark instance + */ + function benchmark( b ) { + var z; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + z = dgemv( 'no-transpose', N, N, 1.0, A, N, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); + if ( isnan( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( z[ i%z.length ] ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); + } +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var len; + var min; + var max; + var f; + var i; + + min = 1; // 10^min + max = 6; // 10^max + + for ( i = min; i <= max; i++ ) { + len = floor( pow( pow( 10, i ), 1.0/2.0 ) ); + f = createBenchmark( len ); + bench( pkg+':ndarray:size='+(len*len), f ); + } +} + +main(); diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/docs/repl.txt b/lib/node_modules/@stdlib/blas/base/dgemv/docs/repl.txt new file mode 100644 index 00000000000..0dda295b33e --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/docs/repl.txt @@ -0,0 +1,160 @@ + +{{alias}}( ord, trans, M, N, α, A, lda, x, sx, β, y, sy ) + Performs one of the matrix-vector operations `y = α*A*x + β*y` or + `y = α*A**T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are + vectors, and `A` is an `M` by `N` matrix. + + Indexing is relative to the first index. To introduce an offset, use typed + array views. + + If `M` or `N` is equal to `0`, the function returns `y` unchanged. + + If `α` equals `0` and β equals `1`, the function returns `y` unchanged. + + Parameters + ---------- + ord: string + Row-major (C-style) or column-major (Fortran-style) order. + + trans: string + Specifies whether `A` should be transposed, conjugate-transposed, or not + transposed. + + M: integer + Number of rows in `A`. + + N: integer + Number of columns in `A`. + + α: number + Scalar constant. + + A: Float64Array + Input Matrix. + + lda: integer + Stride of the first dimension of `A` (a.k.a., leading dimension of the + matrix `A`). + + x: Float64Array + First input vector. + + sx: integer + Index increment for `x`. + + β: number + Scalar constant. + + y: Float64Array + Second input vector. + + sy: integer + Index increment for `y`. + + Returns + ------- + y: Float64Array + Second input vector. + + Examples + -------- + // Standard usage: + > var x = new {{alias:@stdlib/array/float64}}( [ 1.0, 1.0 ] ); + > var y = new {{alias:@stdlib/array/float64}}( [ 1.0, 1.0 ] ); + > var A = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] ); + > var ord = 'row-major'; + > var trans = 'no-transpose'; + > {{alias}}( ord, trans, 2, 2, 1.0, A, 2, x, 1, 1.0, y, 1 ) + [ 4.0, 8.0 ] + + // Advanced indexing: + > x = new {{alias:@stdlib/array/float64}}( [ 1.0, 1.0 ] ); + > y = new {{alias:@stdlib/array/float64}}( [ 1.0, 1.0 ] ); + > A = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] ); + > {{alias}}( ord, trans, 2, 2, 1.0, A, 2, x, -1, 1.0, y, -1 ) + [ 8.0, 4.0 ] + + // Using typed array views: + > var x0 = new {{alias:@stdlib/array/float64}}( [ 1.0, 1.0, 1.0 ] ); + > var y0 = new {{alias:@stdlib/array/float64}}( [ 1.0, 1.0 ] ); + > A = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + > 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}}( ord, trans, 2, 2, 1.0, A, 2, x1, -1, 1.0, y1, -1 ); + > y0 + [ 1.0, 8.0 ] + + +{{alias}}.ndarray( trans, M, N, α, A, sa1, sa2, oa, x, sx, ox, β, y, sy, oy ) + Performs one of the matrix-vector operations `y = α*A*x + β*y` or + `y = α*A**T*x + β*y`, using alternative indexing semantics and where `α` and + `β` are scalars, `x` and `y` are vectors, 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 + ---------- + trans: string + Specifies whether `A` should be transposed, conjugate-transposed, or not + transposed. + + M: integer + Number of rows in `A`. + + N: integer + Number of columns in `A`. + + α: number + Scalar constant. + + A: Float64Array + Input Matrix. + + sa1: integer + Stride of the first dimension of `A`. + + sa2: integer + Stride of the second dimension of `A`. + + oa: integer + Starting index for `A`. + + x: Float64Array + First input vector. + + sx: integer + Index increment for `x`. + + ox: integer + Starting index for `x`. + + β: number + Scalar constant. + + y: Float64Array + Second input vector. + + sy: integer + Index increment for `y`. + + oy: integer + Starting index for `y`. + + Returns + ------- + y: Float64Array + Second input vector. + + Examples + -------- + > var x = new {{alias:@stdlib/array/float64}}( [ 1.0, 1.0 ] ); + > var y = new {{alias:@stdlib/array/float64}}( [ 1.0, 1.0 ] ); + > var A = new {{alias:@stdlib/array/float64}}( [ 1.0, 2.0, 3.0, 4.0 ] ); + > var trans = 'no-transpose'; + > {{alias}}.ndarray( trans, 2, 2, 1, A, 2, 1, 0, x, 1, 0, 1, y, 1, 0 ) + [ 4.0, 8.0 ] + + See Also + -------- diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/docs/types/index.d.ts b/lib/node_modules/@stdlib/blas/base/dgemv/docs/types/index.d.ts new file mode 100644 index 00000000000..0a0215df5ab --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/docs/types/index.d.ts @@ -0,0 +1,133 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/// + +import { Layout, TransposeOperation } from '@stdlib/types/blas'; + +/** +* Interface describing `dgemv`. +*/ +interface Routine { + /** + * Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. + * + * @param order - storage layout + * @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed + * @param M - number of rows in the matrix `A` + * @param N - number of columns in the matrix `A` + * @param alpha - scalar constant + * @param A - input matrix + * @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) + * @param x - first input vector + * @param strideX - `x` stride length + * @param beta - scalar constant + * @param y - second input vector + * @param strideY - `y` stride length + * @returns `y` + * + * @example + * var Float64Array = require( '@stdlib/array/float64' ); + * + * var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + * var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); + * var y = new Float64Array( [ 1.0, 1.0 ] ); + * + * dgemv( 'row-major', 'no-transpose', 2, 3, 1.0, A, 3, x, 1, 1.0, y, 1 ); + * // y => [ 7.0, 16.0 ] + */ + ( order: Layout, trans: TransposeOperation, M: number, N: number, alpha: number, A: Float64Array, LDA: number, x: Float64Array, strideX: number, beta: number, y: Float64Array, strideY: number ): Float64Array; + + /** + * Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y`, using alternative indexing semantics and where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. + * + * @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed + * @param M - number of rows in the matrix `A` + * @param N - number of columns in the matrix `A` + * @param alpha - scalar constant + * @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` + * @param x - first input vector + * @param strideX - `x` stride length + * @param offsetX - starting index for `x` + * @param beta - scalar constant + * @param y - second input vector + * @param strideY - `y` stride length + * @param offsetY - starting index for `y` + * @returns `y` + * + * @example + * var Float64Array = require( '@stdlib/array/float64' ); + * + * var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); + * var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); + * var y = new Float64Array( [ 1.0, 1.0 ] ); + * + * dgemv( 'no-transpose', 2, 3, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); + * // y => [ 7.0, 16.0 ] + */ + ndarray( trans: TransposeOperation, M: number, N: number, alpha: number, A: Float64Array, strideA1: number, strideA2: number, offsetA: number, x: Float64Array, strideX: number, offsetX: number, beta: number, y: Float64Array, strideY: number, offsetY: number ): Float64Array; +} + +/** +* Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. +* +* @param order - storage layout +* @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed +* @param M - number of rows in the matrix `A` +* @param N - number of columns in the matrix `A` +* @param alpha - scalar constant +* @param A - input matrix +* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) +* @param x - first input vector +* @param strideX - `x` stride length +* @param beta - scalar constant +* @param y - second input vector +* @param strideY - `y` stride length +* @returns `y` +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 ] ); +* var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* var y = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* +* dgemv( 'row-major', 'no-transpose', 3, 3, 1.0, A, 3, x1, -1, 1.0, y1, -1 ); +* // y => [ 25.0, 16.0, 7.0 ] +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 ] ); +* var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* var y = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* +* dgemv.ndarray( 'no-transpose', 3, 3, 1.0, A, 3, 1, 0, x1, -1, 2, 1.0, y1, -1, 2 ); +* // y => [ 25.0, 16.0, 7.0 ] +*/ +declare var dgemv: Routine; + + +// EXPORTS // + +export = dgemv; diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/docs/types/test.ts b/lib/node_modules/@stdlib/blas/base/dgemv/docs/types/test.ts new file mode 100644 index 00000000000..dd44acf1293 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/docs/types/test.ts @@ -0,0 +1,517 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import dgemv = require( './index' ); + + +// TESTS // + +// The function returns a Float64Array... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectType Float64Array +} + +// The compiler throws an error if the function is provided a first argument which is not a string... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 10, 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( true, 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( false, 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( null, 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( undefined, 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( [], 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( {}, 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( ( x: number ): number => x, 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a string... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 10, 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', true, 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', false, 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', null, 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', undefined, 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', [ '1' ], 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', {}, 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', ( x: number ): number => x, 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', '10', 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', true, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', false, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', null, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', undefined, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', [], 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', {}, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', ( x: number ): number => x, 10, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, '10', 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, true, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, false, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, null, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, undefined, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, [], 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, {}, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, ( x: number ): number => x, 1.0, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, '10', A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, true, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, false, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, null, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, undefined, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, [], A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, {}, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, ( x: number ): number => x, A, 10, x, 1, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a Float64Array... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, 10, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, '10', 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, true, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, false, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, null, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, undefined, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, [ '1' ], 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, {}, 10, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, ( x: number ): number => x, 10, x, 1, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a seventh argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, '10', x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, true, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, false, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, null, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, undefined, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, [], x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, {}, x, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, ( x: number ): number => x, x, 1, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eighth argument which is not a Float64Array... +{ + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, 10, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, '10', 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, true, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, false, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, null, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, undefined, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, [ '1' ], 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, {}, 1, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, ( x: number ): number => x, 1, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a ninth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, '10', 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, true, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, false, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, null, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, undefined, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, [], 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, {}, 1.0, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, ( x: number ): number => x, 1.0, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a tenth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, '10', y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, true, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, false, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, null, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, undefined, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, [], y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, {}, y, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, ( x: number ): number => x, y, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eleventh argument which is not a Float64Array... +{ + const x = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, 10, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, '10', 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, true, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, false, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, null, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, undefined, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, [ '1' ], 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, {}, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, ( x: number ): number => x, 1 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a twelfth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, '10' ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, true ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, false ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, null ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, undefined ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, [] ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, {} ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv(); // $ExpectError + dgemv( 'row-major' ); // $ExpectError + dgemv( 'row-major', 'no-transpose' ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0 ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y ); // $ExpectError + dgemv( 'row-major', 'no-transpose', 10, 10, 1.0, A, 10, x, 1, 1.0, y, 1, 10 ); // $ExpectError +} + +// Attached to main export is an `ndarray` method which returns a Float64Array... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $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 ); + + dgemv.ndarray( 10, 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( true, 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( false, 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( null, 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( undefined, 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( [ '1' ], 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( {}, 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( ( x: number ): number => x, 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', '10', 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', true, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', false, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', null, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', undefined, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', [], 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', {}, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', ( x: number ): number => x, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, '10', 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, true, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, false, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, null, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, undefined, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, [], 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, {}, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, ( x: number ): number => x, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, '10', A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, true, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, false, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, null, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, undefined, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, [], A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, {}, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, ( x: number ): number => x, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifth argument which is not a Float64Array... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, 10, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, '10', 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, true, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, false, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, null, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, undefined, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, [ '1' ], 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, {}, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, ( x: number ): number => x, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a sixth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, '10', 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, true, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, false, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, null, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, undefined, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, [], 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, {}, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, ( x: number ): number => x, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a seventh argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, '10', 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, true, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, false, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, null, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, undefined, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, [], 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, {}, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, ( x: number ): number => x, 0, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided an eighth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, '10', x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, true, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, false, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, null, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, undefined, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, [], x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, {}, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, ( x: number ): number => x, x, 1, 0, 1.0, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a ninth argument which is not a Float64Array... +{ + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, 10, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, '10', 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, true, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, false, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, null, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, undefined, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, [ '1' ], 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, {}, 1, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, ( x: number ): number => x, 1, 0, 1.0, y, 1, 0 ); // $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 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, '10', 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, true, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, false, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, null, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, undefined, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, [], 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, {}, 0, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, ( x: number ): number => x, 0, 1.0, y, 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 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, '10', 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, true, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, false, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, null, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, undefined, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, [], 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, {}, 1.0, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, ( x: number ): number => x, 1.0, y, 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 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, '10', y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, true, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, false, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, null, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, undefined, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, [], y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, {}, y, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, ( x: number ): number => x, y, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a thirteenth argument which is not a Float64Array... +{ + const x = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, 10, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, '10', 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, true, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, false, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, null, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, undefined, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, [ '1' ], 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, {}, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, ( x: number ): number => x, 1, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourteenth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, '10', 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, true, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, false, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, null, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, undefined, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, [], 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, {}, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, ( x: number ): number => x, 0 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fifteenth argument which is not a number... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, '10' ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, true ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, false ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, null ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, undefined ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, [] ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, {} ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments... +{ + const x = new Float64Array( 10 ); + const y = new Float64Array( 10 ); + const A = new Float64Array( 20 ); + + dgemv.ndarray(); // $ExpectError + dgemv.ndarray( 'no-transpose' ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1 ); // $ExpectError + dgemv.ndarray( 'no-transpose', 10, 10, 1.0, A, 10, 1, 0, x, 1, 0, 1.0, y, 1, 0, 10 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/examples/index.js b/lib/node_modules/@stdlib/blas/base/dgemv/examples/index.js new file mode 100644 index 00000000000..e1c12440434 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/examples/index.js @@ -0,0 +1,36 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); +var dgemv = require( './../lib' ); + +var opts = { + 'dtype': 'float64' +}; + +var M = 3; +var N = 3; + +var A = discreteUniform( M*N, 0, 255, opts ); +var x = discreteUniform( N, 0, 255, opts ); +var y = discreteUniform( M, 0, 255, opts ); + +dgemv( 'row-major', 'no-transpose', M, N, 1.0, A, N, x, -1, 1.0, y, -1 ); +console.log( y ); diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/lib/base.js b/lib/node_modules/@stdlib/blas/base/dgemv/lib/base.js new file mode 100644 index 00000000000..ef6966b0070 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/lib/base.js @@ -0,0 +1,143 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' ); +var dfill = require( '@stdlib/blas/ext/base/dfill' ).ndarray; +var dscal = require( '@stdlib/blas/base/dscal' ).ndarray; + + +// MAIN // + +/** +* Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. +* +* @private +* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed +* @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 {Float64Array} 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` +* @param {Float64Array} x - first input vector +* @param {integer} strideX - `x` stride length +* @param {NonNegativeInteger} offsetX - starting index for `x` +* @param {number} beta - scalar constant +* @param {Float64Array} y - second input vector +* @param {integer} strideY - `y` stride length +* @param {NonNegativeInteger} offsetY - starting index for `y` +* @returns {Float64Array} `y` +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +* var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* var y = new Float64Array( [ 1.0, 1.0 ] ); +* +* dgemv( 'no-transpose', 2, 3, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); +* // y => [ 7.0, 16.0 ] +*/ +function dgemv( trans, M, N, alpha, A, strideA1, strideA2, offsetA, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-params, max-len + var isrm; + var xlen; + var ylen; + var tmp; + var ix1; + var iy1; + var sa0; + var sa1; + var i1; + var i0; + var oa; + + // Note on variable naming convention: sa#, ix#, i# where # corresponds to the loop number, with `0` being the innermost loop... + + isrm = isRowMajor( [ strideA1, strideA2 ] ); + if ( isrm ) { + // For row-major matrices, the last dimension has the fastest changing index... + sa0 = strideA2; // stride for innermost loop + sa1 = strideA1; // stride for outermost loop + } else { // isColMajor + // For column-major matrices, the first dimension has the fastest changing index... + sa0 = strideA1; // stride for innermost loop + sa1 = strideA2; // stride for outermost loop + } + if ( trans === 'no-transpose' ) { + xlen = N; + ylen = M; + } else { + xlen = M; + ylen = N; + } + // y = beta*y + if ( beta !== 1.0 ) { + if ( beta === 0.0 ) { + dfill( ylen, 0.0, y, strideY, offsetY ); + } else { + dscal( ylen, beta, y, strideY, offsetY ); + } + } + if ( alpha === 0.0 ) { + return y; + } + // Form: y = α*A*x + y + if ( + ( !isrm && trans === 'no-transpose' ) || + ( isrm && trans !== 'no-transpose' ) + ) { + ix1 = offsetX; + for ( i1 = 0; i1 < xlen; i1++ ) { + tmp = alpha * x[ ix1 ]; + oa = offsetA + (sa1*i1); + iy1 = offsetY; + for ( i0 = 0; i0 < ylen; i0++ ) { + y[ iy1 ] += A[ oa+(sa0*i0) ] * tmp; + iy1 += strideY; + } + ix1 += strideX; + } + return y; + } + // Form: y = α*A^T*x + y + + // ( !isrm && trans !== 'no-transpose' ) || ( isrm && trans === 'no-transpose' ) + iy1 = offsetY; + for ( i1 = 0; i1 < ylen; i1++ ) { + tmp = 0.0; + ix1 = offsetX; + oa = offsetA + (sa1*i1); + for ( i0 = 0; i0 < xlen; i0++ ) { + tmp += A[ oa+(sa0*i0) ] * x[ ix1 ]; + ix1 += strideX; + } + y[ iy1 ] += alpha * tmp; + iy1 += strideY; + } + return y; +} + + +// EXPORTS // + +module.exports = dgemv; diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/lib/dgemv.js b/lib/node_modules/@stdlib/blas/base/dgemv/lib/dgemv.js new file mode 100644 index 00000000000..64688c0452b --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/lib/dgemv.js @@ -0,0 +1,118 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var stride2offset = require( '@stdlib/strided/base/stride2offset' ); +var isLayout = require( '@stdlib/blas/base/assert/is-layout' ); +var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' ); +var format = require( '@stdlib/string/format' ); +var base = require( './base.js' ); + + +// MAIN // + +/** +* Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. +* +* @param {string} order - storage layout +* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed +* @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 {Float64Array} A - input matrix +* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`) +* @param {Float64Array} x - first input vector +* @param {integer} strideX - `x` stride length +* @param {number} beta - scalar constant +* @param {Float64Array} y - second input vector +* @param {integer} strideY - `y` stride length +* @throws {TypeError} first argument must be a valid order +* @throws {TypeError} second argument must be a valid transpose operation +* @throws {RangeError} third argument must be a nonnegative integer +* @throws {RangeError} fourth argument must be a nonnegative integer +* @throws {RangeError} seventh argument must be greater than or equal to max(1,M) +* @throws {RangeError} ninth argument must be non-zero +* @throws {RangeError} twelfth argument must be non-zero +* @returns {Float64Array} `y` +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +* var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* var y = new Float64Array( [ 1.0, 1.0 ] ); +* +* dgemv( 'row-major', 'no-transpose', 2, 3, 1.0, A, 3, x, 1, 1.0, y, 1 ); +* // y => [ 7.0, 16.0 ] +*/ +function dgemv( order, trans, M, N, alpha, A, LDA, x, strideX, beta, y, strideY ) { // eslint-disable-line max-params, max-len + var xlen; + var ylen; + 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 ( !isMatrixTranspose( trans ) ) { + throw new TypeError( format( 'invalid argument. Second argument must be a valid transpose operation. Value: `%s`.', trans ) ); + } + if ( M < 0 ) { + throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', M ) ); + } + if ( N < 0 ) { + throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', N ) ); + } + if ( strideX === 0 ) { + throw new RangeError( format( 'invalid argument. Ninth argument must be non-zero.' ) ); + } + if ( strideY === 0 ) { + throw new RangeError( format( 'invalid argument. Twelfth argument must be non-zero.' ) ); + } + // Check if we can early return... + if ( M === 0 || N === 0 || ( alpha === 0.0 && beta === 1.0 ) ) { + return y; + } + if ( trans === 'no-transpose' ) { + xlen = N; + ylen = M; + } else { + xlen = M; + ylen = N; + } + ox = stride2offset( xlen, strideX ); + oy = stride2offset( ylen, strideY ); + if ( order === 'column-major' ) { + sa1 = 1; + sa2 = LDA; + } else { // order === 'row-major' + sa1 = LDA; + sa2 = 1; + } + return base( trans, M, N, alpha, A, sa1, sa2, 0, x, strideX, ox, beta, y, strideY, oy ); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = dgemv; diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/lib/index.js b/lib/node_modules/@stdlib/blas/base/dgemv/lib/index.js new file mode 100644 index 00000000000..b07d5be382d --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/lib/index.js @@ -0,0 +1,72 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* BLAS level 2 routine to perform one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. +* +* @module @stdlib/blas/base/dgemv +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* var dgemv = require( '@stdlib/blas/base/dgemv' ); +* +* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +* var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* var y = new Float64Array( [ 1.0, 1.0 ] ); +* +* dgemv( 'row-major', 'no-transpose', 2, 3, 1.0, A, 3, x, 1, 1.0, y, 1 ); +* // y => [ 7.0, 16.0 ] +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* var dgemv = require( '@stdlib/blas/base/dgemv' ); +* +* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +* var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* var y = new Float64Array( [ 1.0, 1.0 ] ); +* +* dgemv.ndarray( 'no-transpose', 2, 3, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); +* // y => [ 7.0, 16.0 ] +*/ + +// MODULES // + +var join = require( 'path' ).join; +var tryRequire = require( '@stdlib/utils/try-require' ); +var isError = require( '@stdlib/assert/is-error' ); +var main = require( './main.js' ); + + +// MAIN // + +var dgemv; +var tmp = tryRequire( join( __dirname, './native.js' ) ); +if ( isError( tmp ) ) { + dgemv = main; +} else { + dgemv = tmp; +} + + +// EXPORTS // + +module.exports = dgemv; + +// exports: { "ndarray": "dgemv.ndarray" } diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/lib/main.js b/lib/node_modules/@stdlib/blas/base/dgemv/lib/main.js new file mode 100644 index 00000000000..3f0a40d0f87 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/lib/main.js @@ -0,0 +1,35 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var dgemv = require( './dgemv.js' ); +var ndarray = require( './ndarray.js' ); + + +// MAIN // + +setReadOnly( dgemv, 'ndarray', ndarray ); + + +// EXPORTS // + +module.exports = dgemv; diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/lib/ndarray.js b/lib/node_modules/@stdlib/blas/base/dgemv/lib/ndarray.js new file mode 100644 index 00000000000..4e25ea9d2f0 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/lib/ndarray.js @@ -0,0 +1,91 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' ); +var format = require( '@stdlib/string/format' ); +var base = require( './base.js' ); + + +// MAIN // + +/** +* Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y`, where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix. +* +* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed +* @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 {Float64Array} 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` +* @param {Float64Array} x - first input vector +* @param {integer} strideX - `x` stride length +* @param {NonNegativeInteger} offsetX - starting index for `x` +* @param {number} beta - scalar constant +* @param {Float64Array} y - second input vector +* @param {integer} strideY - `y` stride length +* @param {NonNegativeInteger} offsetY - starting index for `y` +* @throws {TypeError} first argument must be a valid transpose operation +* @throws {RangeError} second argument must be a nonnegative integer +* @throws {RangeError} third argument must be a nonnegative integer +* @throws {RangeError} tenth argument must be non-zero +* @throws {RangeError} fourteenth argument must be non-zero +* @returns {Float64Array} `y` +* +* @example +* var Float64Array = require( '@stdlib/array/float64' ); +* +* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] ); +* var x = new Float64Array( [ 1.0, 1.0, 1.0 ] ); +* var y = new Float64Array( [ 1.0, 1.0 ] ); +* +* dgemv( 'no-transpose', 2, 3, 1.0, A, 3, 1, 0, x, 1, 0, 1.0, y, 1, 0 ); +* // y => [ 7.0, 16.0 ] +*/ +function dgemv( trans, M, N, alpha, A, strideA1, strideA2, offsetA, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-params, max-len + if ( !isMatrixTranspose( trans ) ) { + throw new TypeError( format( 'invalid argument. First argument must be a valid transpose operation. Value: `%s`.', trans ) ); + } + 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. Tenth argument must be non-zero.' ) ); + } + if ( strideY === 0 ) { + throw new RangeError( format( 'invalid argument. Fourteenth argument must be non-zero.' ) ); + } + // Check if we can early return... + if ( M === 0 || N === 0 || ( alpha === 0.0 && beta === 1.0 ) ) { + return y; + } + return base( trans, M, N, alpha, A, strideA1, strideA2, offsetA, x, strideX, offsetX, beta, y, strideY, offsetY ); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = dgemv; diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/package.json b/lib/node_modules/@stdlib/blas/base/dgemv/package.json new file mode 100644 index 00000000000..b87cabbbd1b --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/package.json @@ -0,0 +1,68 @@ +{ + "name": "@stdlib/blas/base/dgemv", + "version": "0.0.0", + "description": "Perform one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A**T*x + β*y`.", + "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", + "dgemv", + "linear", + "algebra", + "subroutines", + "array", + "ndarray", + "float64", + "double", + "float64array" + ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_complex_access_pattern.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_complex_access_pattern.json new file mode 100644 index 00000000000..a87cd0111f3 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_complex_access_pattern.json @@ -0,0 +1,18 @@ +{ + "trans": "no-transpose", + "strideA1": -2, + "strideA2": -5, + "offsetA": 14, + "strideX": -1, + "offsetX": 2, + "strideY": -1, + "offsetY": 2, + "M": 3, + "N": 3, + "alpha": 0.5, + "beta": 0.5, + "A": [ 6, 999, 0, 999, 0, 5, 999, 4, 999, 0, 3, 999, 2, 999, 1 ], + "x": [ 3.0, 2.0, 1.0 ], + "y": [ 1.0, 2.0, 3.0 ], + "y_out": [ 16.0, 6.0, 2.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_nt.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_nt.json new file mode 100644 index 00000000000..705194b01e7 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_nt.json @@ -0,0 +1,20 @@ +{ + "order": "column-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 4, + "A": [ 1.0, 3.0, 5.0, 7.0, 2.0, 4.0, 6.0, 8.0 ], + "x": [ 1.0, 2.0 ], + "y": [ 1.0, 2.0, 3.0, 4.0 ], + "strideA1": 1, + "strideA2": 4, + "offsetA": 0, + "strideX": 1, + "offsetX": 0, + "strideY": 1, + "offsetY": 0, + "y_out": [ 3.0, 6.5, 10.0, 13.5 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_oa.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_oa.json new file mode 100644 index 00000000000..92da961fb13 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_oa.json @@ -0,0 +1,18 @@ +{ + "trans": "no-transpose", + "M": 3, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "A": [ 999.0, 999.0, 999.0, 999.0, 999.0, 1.0, 999.0, 3.0, 999.0, 5.0, 999.0, 999.0, 999.0, 999.0, 999.0, 2.0, 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a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1_sa2n.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1_sa2n.json new file mode 100644 index 00000000000..c91c334cc3e --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1_sa2n.json @@ -0,0 +1,18 @@ +{ + "trans": "no-transpose", + "M": 3, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "A": [ 999.0, 999.0, 999.0, 999.0, 999.0, 2.0, 999.0, 4.0, 999.0, 6.0, 999.0, 999.0, 999.0, 999.0, 999.0, 1.0, 999.0, 3.0, 999.0, 5.0 ], + "x": [ 1.0, 2.0 ], + "y": [ 1.0, 2.0, 3.0 ], + "strideA1": 2, + "strideA2": -10, + "offsetA": 15, + "strideX": 1, + "offsetX": 0, + "strideY": 1, + "offsetY": 0, + "y_out": [ 3.0, 6.5, 10.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1n_sa2.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1n_sa2.json new file mode 100644 index 00000000000..fae84fbff43 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1n_sa2.json @@ -0,0 +1,18 @@ +{ + "trans": "no-transpose", + "M": 3, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "A": [ 999.0, 999.0, 999.0, 999.0, 999.0, 5.0, 999.0, 3.0, 999.0, 1.0, 999.0, 999.0, 999.0, 999.0, 999.0, 6.0, 999.0, 4.0, 999.0, 2.0 ], + "x": [ 1.0, 2.0 ], + "y": [ 1.0, 2.0, 3.0 ], + "strideA1": -2, + "strideA2": 10, + "offsetA": 9, + "strideX": 1, + "offsetX": 0, + "strideY": 1, + "offsetY": 0, + "y_out": [ 3.0, 6.5, 10.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1n_sa2n.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1n_sa2n.json new file mode 100644 index 00000000000..e21c2724e2b --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_sa1n_sa2n.json @@ -0,0 +1,18 @@ +{ + "trans": "no-transpose", + "M": 3, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "A": [ 999.0, 999.0, 999.0, 999.0, 999.0, 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a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xnyn.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xnyn.json new file mode 100644 index 00000000000..284eddccf93 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xnyn.json @@ -0,0 +1,20 @@ +{ + "order": "column-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 4, + "A": [ 1.0, 3.0, 5.0, 7.0, 2.0, 4.0, 6.0, 8.0], + "x": [ 2.0, 1.0 ], + "y": [ 1.0, 2.0, 3.0, 4.0 ], + "strideA1": 1, + "strideA2": 4, + "offsetA": 0, + "strideX": -1, + "offsetX": 1, + "strideY": -1, + "offsetY": 3, + "y_out": [ 12.0, 9.5, 7.0, 4.5 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xnyp.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xnyp.json new file mode 100644 index 00000000000..e8ff2247130 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xnyp.json @@ -0,0 +1,20 @@ +{ + "order": "column-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 4, + "A": [ 1.0, 3.0, 5.0, 7.0, 2.0, 4.0, 6.0, 8.0], + "x": [ 2.0, 1.0 ], + "y": [ 1.0, 2.0, 3.0, 4.0 ], + "strideA1": 1, + "strideA2": 4, + "offsetA": 0, + "strideX": -1, + "offsetX": 1, + "strideY": 1, + "offsetY": 0, + "y_out": [ 3.0, 6.5, 10.0, 13.5 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xpyn.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xpyn.json new file mode 100644 index 00000000000..3c275aa0a64 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/column_major_xpyn.json @@ -0,0 +1,20 @@ +{ + "order": "column-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 4, + "A": [ 1.0, 3.0, 5.0, 7.0, 2.0, 4.0, 6.0, 8.0], + "x": [ 2.0, 1.0 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a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_complex_access_pattern.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_complex_access_pattern.json new file mode 100644 index 00000000000..555645d3c7c --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_complex_access_pattern.json @@ -0,0 +1,18 @@ +{ + "trans": "no-transpose", + "strideA1": -6, + "strideA2": -1, + "offsetA": 14, + "strideX": -1, + "offsetX": 2, + "strideY": -1, + "offsetY": 2, + "alpha": 0.5, + "beta": 0.5, + "M": 3, + "N": 3, + "A": [ 6, 5, 3, 999, 999, 999, 0, 4, 2, 999, 999, 999, 0, 0, 1 ], + "x": [ 1.0, 2.0, 3.0 ], + "y": [ 1.0, 2.0, 3.0 ], + "y_out": [ 13.0, 8.0, 3.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_nt.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_nt.json new file mode 100644 index 00000000000..1c345e42044 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_nt.json @@ -0,0 +1,20 @@ +{ + "order": "row-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 2, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ], + "x": [ 1.0, 2.0 ], + "y": [ 1.0, 2.0, 3.0, 4.0 ], + "strideA1": 2, + "strideA2": 1, + "offsetA": 0, + "strideX": 1, + "offsetX": 0, + "strideY": 1, + "offsetY": 0, + "y_out": [ 3.0, 6.5, 10.0, 13.5 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_oa.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_oa.json new file mode 100644 index 00000000000..c8c69c1071b --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_oa.json @@ -0,0 +1,18 @@ +{ + "trans": "no-transpose", + "M": 3, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "A": [ 999.0, 1.0, 999.0, 2.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 3.0, 999.0, 4.0, 999.0, 999.0, 999.0, 999.0, 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--git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_sa1_sa2n.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_sa1_sa2n.json new file mode 100644 index 00000000000..a7b79aa7d77 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_sa1_sa2n.json @@ -0,0 +1,18 @@ +{ + "trans": "no-transpose", + "M": 3, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "A": [ 999.0, 2.0, 999.0, 1.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 4.0, 999.0, 3.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 999.0, 6.0, 999.0, 5.0, 999.0 ], + "x": [ 1.0, 2.0 ], + "y": [ 1.0, 2.0, 3.0 ], + "strideA1": 10, + "strideA2": -2, + "offsetA": 3, + "strideX": 1, + "offsetX": 0, + "strideY": 1, + "offsetY": 0, + "y_out": [ 3.0, 6.5, 10.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_sa1n_sa2.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_sa1n_sa2.json new file mode 100644 index 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"offsetX": 0, + "strideY": 1, + "offsetY": 0, + "y_out": [ 25.5, 31.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xnyn.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xnyn.json new file mode 100644 index 00000000000..71fee7b136b --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xnyn.json @@ -0,0 +1,20 @@ +{ + "order": "row-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 2, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ], + "x": [ 2.0, 1.0 ], + "y": [ 1.0, 2.0, 3.0, 4.0 ], + "strideA1": 2, + "strideA2": 1, + "offsetA": 0, + "strideX": -1, + "offsetX": 1, + "strideY": -1, + "offsetY": 3, + "y_out": [ 12.0, 9.5, 7.0, 4.5 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xnyp.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xnyp.json new file mode 100644 index 00000000000..3075694a111 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xnyp.json @@ -0,0 +1,20 @@ +{ + "order": "row-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 2, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ], + "x": [ 2.0, 1.0 ], + "y": [ 1.0, 2.0, 3.0, 4.0 ], + "strideA1": 2, + "strideA2": 1, + "offsetA": 0, + "strideX": -1, + "offsetX": 1, + "strideY": 1, + "offsetY": 0, + "y_out": [ 3.0, 6.5, 10.0, 13.5 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xpyn.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xpyn.json new file mode 100644 index 00000000000..d3ab52c45fe --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xpyn.json @@ -0,0 +1,20 @@ +{ + "order": "row-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 2, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ], + "x": [ 2.0, 1.0 ], + "y": [ 1.0, 2.0, 3.0, 4.0 ], + "strideA1": 2, + "strideA2": 1, + "offsetA": 0, + "strideX": 1, + "offsetX": 0, + "strideY": -1, + "offsetY": 3, + "y_out": [ 11.5, 9.0, 6.5, 4.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xpyp.json b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xpyp.json new file mode 100644 index 00000000000..d5fae06293f --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/fixtures/row_major_xpyp.json @@ -0,0 +1,20 @@ +{ + "order": "row-major", + "trans": "no-transpose", + "M": 4, + "N": 2, + "alpha": 0.5, + "beta": 0.5, + "lda": 2, + "A": [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ], + "x": [ 2.0, 1.0 ], + "y": [ 1.0, 2.0, 3.0, 4.0 ], + "strideA1": 2, + "strideA2": 1, + "offsetA": 0, + "strideX": 1, + "offsetX": 0, + "strideY": 1, + "offsetY": 0, + "y_out": [ 2.5, 6.0, 9.5, 13.0 ] +} diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/test.dgemv.js b/lib/node_modules/@stdlib/blas/base/dgemv/test/test.dgemv.js new file mode 100644 index 00000000000..8c7ddd50521 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/test.dgemv.js @@ -0,0 +1,683 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* eslint-disable max-len */ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var Float64Array = require( '@stdlib/array/float64' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var dgemv = require( './../lib/dgemv.js' ); + + +// FIXTURES // + +var cnt = require( './fixtures/column_major_nt.json' ); +var ct = require( './fixtures/column_major_t.json' ); +var cxnyn = require( './fixtures/column_major_xnyn.json' ); +var cxpyn = require( './fixtures/column_major_xpyn.json' ); +var cxnyp = require( './fixtures/column_major_xnyp.json' ); +var cxpyp = require( './fixtures/column_major_xpyp.json' ); + +var rnt = require( './fixtures/row_major_nt.json' ); +var rt = require( './fixtures/row_major_t.json' ); +var rxnyn = require( './fixtures/row_major_xnyn.json' ); +var rxpyn = require( './fixtures/row_major_xpyn.json' ); +var rxnyp = require( './fixtures/row_major_xnyp.json' ); +var rxpyp = require( './fixtures/row_major_xpyp.json' ); + + +// FUNCTIONS // + +/** +* Tests for element-wise approximate equality. +* +* @private +* @param {Object} t - test object +* @param {Collection} actual - actual values +* @param {Collection} expected - expected values +* @param {number} rtol - relative tolerance +*/ +function isApprox( t, actual, expected, rtol ) { + var delta; + var tol; + var i; + + t.strictEqual( actual.length, expected.length, 'returns expected value' ); + for ( i = 0; i < expected.length; i++ ) { + if ( actual[ i ] === expected[ i ] ) { + t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' ); + } else { + delta = abs( actual[ i ] - expected[ i ] ); + tol = rtol * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } +} + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof dgemv, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 12', function test( t ) { + t.strictEqual( dgemv.length, 12, 'returns expected value' ); + t.end(); +}); + +tape( 'the function throws an error if provided an invalid first argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( value, data.trans, data.M, data.N, data.alpha, new Float64Array( data.A ), data.LDA, new Float64Array( data.x ), data.strideX, data.beta, new Float64Array( data.y ), data.strideY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid second argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.order, value, data.M, data.N, data.alpha, new Float64Array( data.A ), data.LDA, new Float64Array( data.x ), data.strideX, data.beta, new Float64Array( data.y ), data.strideY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid third argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.order, data.trans, value, data.N, data.alpha, new Float64Array( data.A ), data.LDA, new Float64Array( data.x ), data.strideX, data.beta, new Float64Array( data.y ), data.strideY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid fourth argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.order, data.trans, data.M, value, data.alpha, new Float64Array( data.A ), data.LDA, new Float64Array( data.x ), data.strideX, data.beta, new Float64Array( data.y ), data.strideY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid ninth argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.order, data.trans, data.M, data.N, data.alpha, new Float64Array( data.A ), data.LDA, new Float64Array( data.x ), value, data.beta, new Float64Array( data.y ), data.strideY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid twelfth argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.order, data.trans, data.M, data.N, data.alpha, new Float64Array( data.A ), data.LDA, new Float64Array( data.x ), data.strideX, data.beta, new Float64Array( data.y ), value ); + }; + } +}); + +tape( 'the function performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` (row-major, no-transpose)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rnt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` (column-major, no-transpose)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cnt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` (row-major, transpose)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` (column-major, transpose)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the second input vector (row-major)', function test( t ) { + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the second input vector (column-major)', function test( t ) { + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the second input vector unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y ); + + out = dgemv( data.order, data.trans, 0, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + out = dgemv( data.order, data.trans, data.M, 0, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the second input vector unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y ); + + out = dgemv( data.order, data.trans, 0, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + out = dgemv( data.order, data.trans, data.M, 0, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0` and `β` is `1`, the function returns the second input vector unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y ); + + out = dgemv( data.order, data.trans, data.M, data.N, 0.0, a, data.lda, x, data.strideX, 1.0, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0` and `β` is `1`, the function returns the second input vector unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y ); + + out = dgemv( data.order, data.trans, data.M, data.N, 0.0, a, data.lda, x, data.strideX, 1.0, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0`, the function scales the second input vector by `β` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y.length ); + + out = dgemv( data.order, data.trans, data.M, data.N, 0.0, a, data.lda, x, data.strideX, 0.0, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0`, the function scales the second input vector by `β` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y.length ); + + out = dgemv( data.order, data.trans, data.M, data.N, 0.0, a, data.lda, x, data.strideX, 0.0, y, data.strideY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, 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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.order, data.trans, data.M, data.N, data.alpha, a, data.lda, x, data.strideX, data.beta, y, data.strideY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/test.js b/lib/node_modules/@stdlib/blas/base/dgemv/test/test.js new file mode 100644 index 00000000000..58253939a98 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/test.js @@ -0,0 +1,82 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var proxyquire = require( 'proxyquire' ); +var IS_BROWSER = require( '@stdlib/assert/is-browser' ); +var dgemv = require( './../lib' ); + + +// VARIABLES // + +var opts = { + 'skip': IS_BROWSER +}; + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof dgemv, '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 dgemv.ndarray, 'function', 'method is a function' ); + t.end(); +}); + +tape( 'if a native implementation is available, the main export is the native implementation', opts, function test( t ) { + var dgemv = proxyquire( './../lib', { + '@stdlib/utils/try-require': tryRequire + }); + + t.strictEqual( dgemv, mock, 'returns expected value' ); + t.end(); + + function tryRequire() { + return mock; + } + + function mock() { + // Mock... + } +}); + +tape( 'if a native implementation is not available, the main export is a JavaScript implementation', opts, function test( t ) { + var dgemv; + var main; + + main = require( './../lib/dgemv.js' ); + + dgemv = proxyquire( './../lib', { + '@stdlib/utils/try-require': tryRequire + }); + + t.strictEqual( dgemv, main, 'returns expected value' ); + t.end(); + + function tryRequire() { + return new Error( 'Cannot find module' ); + } +}); diff --git a/lib/node_modules/@stdlib/blas/base/dgemv/test/test.ndarray.js b/lib/node_modules/@stdlib/blas/base/dgemv/test/test.ndarray.js new file mode 100644 index 00000000000..5b41a67fbd0 --- /dev/null +++ b/lib/node_modules/@stdlib/blas/base/dgemv/test/test.ndarray.js @@ -0,0 +1,933 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* eslint-disable max-len */ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var Float64Array = require( '@stdlib/array/float64' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var dgemv = require( './../lib/ndarray.js' ); + + +// FIXTURES // + +var cap = require( './fixtures/column_major_complex_access_pattern.json' ); +var cnt = require( './fixtures/column_major_nt.json' ); +var ct = require( './fixtures/column_major_t.json' ); +var coa = require( './fixtures/column_major_oa.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 cxnyn = require( './fixtures/column_major_xnyn.json' ); +var cxpyn = require( './fixtures/column_major_xpyn.json' ); +var cxnyp = require( './fixtures/column_major_xnyp.json' ); +var cxpyp = require( './fixtures/column_major_xpyp.json' ); + +var rap = require( './fixtures/row_major_complex_access_pattern.json' ); +var rnt = require( './fixtures/row_major_nt.json' ); +var rt = require( './fixtures/row_major_t.json' ); +var roa = require( './fixtures/row_major_oa.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 rxnyn = require( './fixtures/row_major_xnyn.json' ); +var rxpyn = require( './fixtures/row_major_xpyn.json' ); +var rxnyp = require( './fixtures/row_major_xnyp.json' ); +var rxpyp = require( './fixtures/row_major_xpyp.json' ); + + +// FUNCTIONS // + +/** +* Tests for element-wise approximate equality. +* +* @private +* @param {Object} t - test object +* @param {Collection} actual - actual values +* @param {Collection} expected - expected values +* @param {number} rtol - relative tolerance +*/ +function isApprox( t, actual, expected, rtol ) { + var delta; + var tol; + var i; + + t.strictEqual( actual.length, expected.length, 'returns expected value' ); + for ( i = 0; i < expected.length; i++ ) { + if ( actual[ i ] === expected[ i ] ) { + t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' ); + } else { + delta = abs( actual[ i ] - expected[ i ] ); + tol = rtol * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } +} + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof dgemv, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function has an arity of 15', function test( t ) { + t.strictEqual( dgemv.length, 15, '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 = rnt; + + 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() { + dgemv( value, data.M, data.N, data.alpha, new Float64Array( data.A ), data.strideA1, data.strideA2, data.offsetA, new Float64Array( data.x ), data.strideX, data.offsetX, data.beta, new Float64Array( data.y ), data.strideY, data.offsetY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid second argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.trans, value, data.N, data.alpha, new Float64Array( data.A ), data.strideA1, data.strideA2, data.offsetA, new Float64Array( data.x ), data.strideX, data.offsetX, data.beta, new Float64Array( data.y ), data.strideY, data.offsetY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid third argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.trans, data.M, value, data.alpha, new Float64Array( data.A ), data.strideA1, data.strideA2, data.offsetA, new Float64Array( data.x ), data.strideX, data.offsetX, data.beta, new Float64Array( data.y ), data.strideY, data.offsetY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid tenth argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.trans, data.M, data.N, data.alpha, new Float64Array( data.A ), data.strideA1, data.strideA2, data.offsetA, new Float64Array( data.x ), value, data.offsetX, data.beta, new Float64Array( data.y ), data.strideY, data.offsetY ); + }; + } +}); + +tape( 'the function throws an error if provided an invalid fourteenth argument', function test( t ) { + var values; + var data; + var i; + + data = rnt; + + 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() { + dgemv( data.trans, data.M, data.N, data.alpha, new Float64Array( data.A ), data.strideA1, data.strideA2, data.offsetA, new Float64Array( data.x ), data.strideX, data.offsetX, data.beta, new Float64Array( data.y ), value, data.offsetY ); + }; + } +}); + +tape( 'the function performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` (row-major, no-transpose)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rnt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` (column-major, no-transpose)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = cnt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` (row-major, transpose)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` (column-major, transpose)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the second input vector (row-major)', function test( t ) { + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns a reference to the second input vector (column-major)', function test( t ) { + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the second input vector unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y ); + + out = dgemv( data.trans, 0, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + out = dgemv( data.trans, data.M, 0, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if either `M` or `N` is `0`, the function returns the second input vector unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y ); + + out = dgemv( data.trans, 0, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + out = dgemv( data.trans, data.M, 0, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0` and `β` is `1`, the function returns the second input vector unchanged (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y ); + + out = dgemv( data.trans, data.M, data.N, 0.0, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, 1.0, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0` and `β` is `1`, the function returns the second input vector unchanged (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y ); + + out = dgemv( data.trans, data.M, data.N, 0.0, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, 1.0, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0`, the function scales the second input vector by `β` (row-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rt; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y.length ); + + out = dgemv( data.trans, data.M, data.N, 0.0, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, 0.0, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, 'returns expected value' ); + t.deepEqual( out, expected, 'returns expected value' ); + + t.end(); +}); + +tape( 'if `α` is `0`, the function scales the second input vector by `β` (column-major)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = ct; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y.length ); + + out = dgemv( data.trans, data.M, data.N, 0.0, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, 0.0, y, data.strideY, data.offsetY ); + t.strictEqual( out, y, '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)', function test( t ) { + var expected; + var data; + var out; + var a; + var x; + var y; + + data = rsa1sa2; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = rap; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, '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 = cap; + + a = new Float64Array( data.A ); + x = new Float64Array( data.x ); + y = new Float64Array( data.y ); + + expected = new Float64Array( data.y_out ); + + out = dgemv( data.trans, data.M, data.N, data.alpha, a, data.strideA1, data.strideA2, data.offsetA, x, data.strideX, data.offsetX, data.beta, y, data.strideY, data.offsetY ); + isApprox( t, y, expected, 2.0 ); + t.strictEqual( out, y, 'returns expected value' ); + t.end(); +});