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103 changes: 95 additions & 8 deletions lib/node_modules/@stdlib/blas/base/dsymv/README.md
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Expand Up @@ -2,7 +2,7 @@

@license Apache-2.0

Copyright (c) 2024 The Stdlib Authors.
Copyright (c) 2023 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.
Expand Down Expand Up @@ -191,21 +191,73 @@ console.log( y );
### Usage

```c
TODO
#include "stdlib/blas/base/dsymv.h"
```

#### TODO
#### c_dsymv( order, uplo, N, alpha, \*A, LDA, \*X, strideX, beta, \*Y, strideY )

TODO.
Performs the matrix-vector operation `y = α*A*x + β*y` where `α` and `β` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix.

```c
TODO
#include "stdlib/blas/base/shared.h"

const double A[] = { 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 };
const double x[] = { 1.0, 1.0, 1.0 };
double y[] = { 0.0, 0.0, 0.0 };

c_dsymv( CblasRowMajor, CblasLower, 3, 1.0, A, 3, x, 1, 0.0, y, 1 );
```

TODO
The function accepts the following arguments:

- **order**: `[in] CBLAS_LAYOUT` storage layout.
- **uplo**: `[in] CBLAS_UPLO` specifies whether the upper or lower triangular part of the symmetric matrix `A` should be referenced.
- **N**: `[in] CBLAS_INT` number of elements along each dimension of `A`.
- **alpha**: `[in] double` scalar constant.
- **A**: input matrix stored in linear memory as a [`Float64Array`][mdn-float64array].
- **lda**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
- **X**: `[in] double*` first input vector.
- **strideX**: `[in] CBLAS_INT` stride length for `X`.
- **beta**: `[in] double` scalar constant.
- **Y**: `[inout] double*` second input vector.
- **strideY**: `[in] CBLAS_INT` stride length for `Y`.

```c
void c_dsymv( const CBLAS_LAYOUT order, const CBLAS_UPLO uplo, const CBLAS_INT N, const double alpha, const double *A, const CBLAS_INT LDA, const double *X, const CBLAS_INT strideX, const double beta, double *Y, const CBLAS_INT strideY )
```

#### c_dsymv_ndarray( order,uplo,N,alpha,\*A,lda,oap,\*X,sx,ox,beta,\*Y,sy,oy )

Performs the matrix-vector operation `y = α*A*x + β*y` using alternative indexing semantics and where `α` and `β` are scalars, `x` and `y` are `N` element vectors, and `A` is an `N` by `N` symmetric matrix.

```c
#include "stdlib/blas/base/shared.h"

const double A[] = { 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 };
const double x[] = { 1.0, 1.0, 1.0 };
double y[] = { 0.0, 0.0, 0.0 };

c_dsymv_ndarray( CblasRowMajor, CblasLower, 3, 1.0, A, 3, x, 1, 0, 0.0, y, 1, 0 );
```

The function accepts the following arguments:

- **order**: `[in] CBLAS_LAYOUT` storage layout.
- **uplo**: `[in] CBLAS_UPLO` specifies whether the upper or lower triangular part of the symmetric matrix `A` is supplied.
- **N**: `[in] CBLAS_INT` number of elements along each dimension of `A`.
- **alpha**: `[in] double` scalar.
- **A**: input matrix stored in linear memory as a [`Float64Array`][mdn-float64array].
- **lda**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
- **X**: `[in] double*` first input vector.
- **sx**: `[in] CBLAS_INT` stride length for `X`.
- **ox**: `[in] CBLAS_INT` starting index for `X`.
- **beta**: `[in] double` scalar.
- **Y**: `[inout] double*` second input vector.
- **sy**: `[in] CBLAS_INT` stride length for `Y`.
- **oy**: `[in] CBLAS_INT` starting index for `Y`.

```c
TODO
void c_dsymv_ndarray( const CBLAS_LAYOUT order, const CBLAS_UPLO uplo, const CBLAS_INT N, const double alpha, const double *A, const CBLAS_INT LDA, const double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const double beta, double *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY )
```

</section>
Expand All @@ -227,7 +279,42 @@ TODO
### Examples

```c
TODO
#include "stdlib/blas/base/dsymv.h"
#include "stdlib/blas/base/shared.h"
#include <stdio.h>

int main( void ) {
// symmetric matrix `A`:
const double A[ 3*3 ] = {
1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0
};

// Define `x` and `y` vectors:
const double x[ 3 ] = { 1.0, 1.0, 1.0 };
double y[ 3 ] = { 0.0, 0.0, 0.0 };

// Specify the number of elements along each dimension of `A`:
const int N = 3;

// Specify the stride of the first dimension of `A`:
const int LDA = 3;

// Perform the matrix-vector operation `y = α*A*x + β*y`:
c_dsymv( CblasRowMajor, CblasLower, N, 1.0, A, LDA, x, 1, 0.0, y, 1 );

// Print the result:
for ( int i = 0; i < N; i++ ) {
printf( "y[ %i ] = %lf\n", i, y[ i ] );
}

// Perform the matrix-vector operation `y = α*A*x + β*y` using alternative indexing semantics:
c_dsymv_ndarray( CblasRowMajor, CblasLower, N, 1.0, A, LDA, x, 1, 0, 1.0, y, 1, 0 );

// Print the result:
for ( int i = 0; i < N; i++ ) {
printf( "y[ %i ] = %lf\n", i, y[ i ] );
}
}
```

</section>
Expand Down
112 changes: 112 additions & 0 deletions lib/node_modules/@stdlib/blas/base/dsymv/benchmark/benchmark.native.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,112 @@
/**
* @license Apache-2.0
*
* Copyright (c) 2026 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/

'use strict';

// MODULES //

var resolve = require( 'path' ).resolve;
var bench = require( '@stdlib/bench' );
var uniform = require( '@stdlib/random/array/uniform' );
var format = require( '@stdlib/string/format' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var ones = require( '@stdlib/array/ones' );
var pow = require( '@stdlib/math/base/special/pow' );
var floor = require( '@stdlib/math/base/special/floor' );
var tryRequire = require( '@stdlib/utils/try-require' );
var pkg = require( './../package.json' ).name;


// VARIABLES //

var dsymv = tryRequire( resolve( __dirname, './../lib/dsymv.native.js' ) );
var opts = {
'skip': ( dsymv instanceof Error )
};
var options = {
'dtype': 'float64'
};


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveInteger} N - number of elements along each dimension
* @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 = ones( N*N, options.dtype );
return benchmark;

/**
* Benchmark function.
*
* @private
* @param {Benchmark} b - benchmark instance
*/
function benchmark( b ) {
var z;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
z = dsymv( 'row-major', 'upper', 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 min;
var max;
var N;
var f;
var i;

min = 1; // 10^min
max = 6; // 10^max

for ( i = min; i <= max; i++ ) {
N = floor( pow( pow( 10, i ), 1.0/2.0 ) );
f = createBenchmark( N );
bench( format( '%s::native:size=%d', pkg, N*N ), opts, f );
}
}

main();
Original file line number Diff line number Diff line change
@@ -0,0 +1,112 @@
/**
* @license Apache-2.0
*
* Copyright (c) 2026 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/

'use strict';

// MODULES //

var resolve = require( 'path' ).resolve;
var bench = require( '@stdlib/bench' );
var uniform = require( '@stdlib/random/array/uniform' );
var format = require( '@stdlib/string/format' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var ones = require( '@stdlib/array/ones' );
var pow = require( '@stdlib/math/base/special/pow' );
var floor = require( '@stdlib/math/base/special/floor' );
var tryRequire = require( '@stdlib/utils/try-require' );
var pkg = require( './../package.json' ).name;


// VARIABLES //

var dsymv = tryRequire( resolve( __dirname, './../lib/ndarray.native.js' ) );
var opts = {
'skip': ( dsymv instanceof Error )
};
var options = {
'dtype': 'float64'
};


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveInteger} N - number of elements along each dimension
* @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 = ones( N*N, options.dtype );
return benchmark;

/**
* Benchmark function.
*
* @private
* @param {Benchmark} b - benchmark instance
*/
function benchmark( b ) {
var z;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
z = dsymv( 'row-major', 'upper', N, 1.0, A, N, 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 min;
var max;
var N;
var f;
var i;

min = 1; // 10^min
max = 6; // 10^max

for ( i = min; i <= max; i++ ) {
N = floor( pow( pow( 10, i ), 1.0/2.0 ) );
f = createBenchmark( N );
bench( format( '%s::native:ndarray:size=%d', pkg, N*N ), opts, f );
}
}

main();
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