feat: add C implementation for blas/base/dsyr

PR-URL: #6566
Ref: #2039
Co-authored-by: Athan Reines <kgryte@gmail.com>
Reviewed-by: Athan Reines <kgryte@gmail.com>

Author: ShabiShett07

lib/node_modules/@stdlib/blas/base/dsyr/README.md

@@ -37,11 +37,11 @@ Performs the symmetric rank 1 operation `A = α*x*x^T + A` where `α` is a scala
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
 
-var A = new Float64Array( [ 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 0.0, 0.0, 1.0 ] );
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 2.0, 1.0, 2.0, 3.0, 2.0, 1.0 ] );
 var x = new Float64Array( [ 1.0, 2.0, 3.0 ] );
 
 dsyr( 'row-major', 'upper', 3, 1.0, x, 1, A, 3 );
-// A => <Float64Array>[ 2.0, 4.0, 6.0, 0.0, 5.0, 8.0, 0.0, 0.0, 10.0 ]
+// A => <Float64Array>[ 2.0, 4.0, 6.0, 2.0, 5.0, 8.0, 3.0, 2.0, 10.0 ]
 ```
 
 The function has the following parameters:
@@ -51,20 +51,20 @@ The function has the following parameters:
 -   **N**: number of elements along each dimension of `A`.
 -   **α**: scalar constant.
 -   **x**: input [`Float64Array`][mdn-float64array].
--   **sx**: index increment for `x`.
+-   **sx**: stride length for `x`.
 -   **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`).
 
-The stride parameters determine how elements in the input arrays are accessed at runtime. For example, to iterate over every other element of `x` in reverse order,
+The stride parameters determine how elements in the input arrays are accessed at runtime. For example, to iterate over the elements of `x` in reverse order,
 
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
 
-var A = new Float64Array( [ 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 0.0, 0.0, 1.0 ] );
-var x = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 2.0, 1.0, 2.0, 3.0, 2.0, 1.0 ] );
+var x = new Float64Array( [ 3.0, 2.0, 1.0 ] );
 
-dsyr( 'row-major', 'upper', 3, 1.0, x, -2, A, 3 );
-// A => <Float64Array>[ 26.0, 17.0, 8.0, 0.0, 10.0, 5.0, 0.0, 0.0, 2.0 ]
+dsyr( 'row-major', 'upper', 3, 1.0, x, -1, A, 3 );
+// A => <Float64Array>[ 2.0, 4.0, 6.0, 2.0, 5.0, 8.0, 3.0, 2.0, 10.0 ]
 ```
 
 Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
@@ -75,14 +75,14 @@ Note that indexing is relative to the first index. To introduce an offset, use [
 var Float64Array = require( '@stdlib/array/float64' );
 
 // Initial arrays...
-var x0 = new Float64Array( [ 1.0, 1.0, 1.0, 1.0 ] );
-var A = new Float64Array( [ 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 0.0, 0.0, 1.0 ] );
+var x0 = new Float64Array( [ 0.0, 3.0, 2.0, 1.0 ] );
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 2.0, 1.0, 2.0, 3.0, 2.0, 1.0 ] );
 
 // Create offset views...
 var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
 
 dsyr( 'row-major', 'upper', 3, 1.0, x1, -1, A, 3 );
-// A => <Float64Array>[ 2.0, 3.0, 4.0, 0.0, 2.0, 3.0, 0.0, 0.0, 2.0 ]
+// A => <Float64Array>[ 2.0, 4.0, 6.0, 2.0, 5.0, 8.0, 3.0, 2.0, 10.0 ]
 ```
 
 #### dsyr.ndarray( uplo, N, α, x, sx, ox, A, sa1, sa2, oa )
@@ -92,11 +92,11 @@ Performs the symmetric rank 1 operation `A = α*x*x^T + A`, using alternative in
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
 
-var A = new Float64Array( [ 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 0.0, 0.0, 1.0 ] );
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 2.0, 1.0, 2.0, 3.0, 2.0, 1.0 ] );
 var x = new Float64Array( [ 1.0, 2.0, 3.0 ] );
 
 dsyr.ndarray( 'upper', 3, 1.0, x, 1, 0, A, 3, 1, 0 );
-// A => <Float64Array>[ 2.0, 4.0, 6.0, 0.0, 5.0, 8.0, 0.0, 0.0, 10.0 ]
+// A => <Float64Array>[ 2.0, 4.0, 6.0, 2.0, 5.0, 8.0, 3.0, 2.0, 10.0 ]
 ```
 
 The function has the following additional parameters:
@@ -111,11 +111,11 @@ While [`typed array`][mdn-typed-array] views mandate a view offset based on the
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
 
-var A = new Float64Array( [ 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 0.0, 0.0, 1.0 ] );
+var A = new Float64Array( [ 1.0, 2.0, 3.0, 2.0, 1.0, 2.0, 3.0, 2.0, 1.0 ] );
 var x = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
 
 dsyr.ndarray( 'upper', 3, 1.0, x, -2, 4, A, 3, 1, 0 );
-// A => <Float64Array>[ 26.0, 17.0, 8.0, 0.0, 10.0, 5.0, 0.0, 0.0, 2.0 ]
+// A => <Float64Array>[ 26.0, 17.0, 8.0, 2.0, 10.0, 5.0, 3.0, 2.0, 2.0 ]
 ```
 
 </section>
@@ -149,11 +149,18 @@ var opts = {
 
 var N = 3;
 
-var A = ones( N*N, opts.dtype );
+// Create N-by-N symmetric matrices:
+var A1 = ones( N*N, opts.dtype );
+var A2 = ones( N*N, opts.dtype );
+
+// Create a random vector:
 var x = discreteUniform( N, -10.0, 10.0, opts );
 
-dsyr( 'row-major', 'upper', 3, 1.0, x, 1, A, 3 );
-console.log( A );
+dsyr( 'row-major', 'upper', 3, 1.0, x, 1, A1, 3 );
+console.log( A1 );
+
+dsyr.ndarray( 'upper', 3, 1.0, x, 1, 0, A2, 3, 1, 0 );
+console.log( A2 );
 ```
 
 </section>
@@ -183,21 +190,65 @@ console.log( A );
 ### Usage
 
 ```c
-TODO
+#include "stdlib/blas/base/dsyr.h"
 ```
 
-#### TODO
+#### c_dsyr( layout, uplo, N, alpha, \*X, sx, \*A, LDA )
 
-TODO.
+Performs the symmetric rank 1 operation `A = α*x*x^T + A` where `α` is a scalar, `x` is an `N` element vector, and `A` is an `N` by `N` symmetric matrix.
 
 ```c
-TODO
+#include "stdlib/blas/base/shared.h"
+
+double A[] = { 1.0, 2.0, 3.0, 2.0, 1.0, 2.0, 3.0, 2.0, 1.0 };
+const double x[] = { 1.0, 2.0, 3.0 };
+
+c_dsyr( CblasColMajor, CblasUpper, 3, 1.0, x, 1, A, 3 );
 ```
 
-TODO
+The function accepts the following arguments:
+
+-   **layout**: `[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.
+-   **X**: `[in] double*` input array.
+-   **sx**: `[in] CBLAS_INT` stride length for `X`.
+-   **A**: `[inout] double*` input matrix.
+-   **LDA**: `[in] CBLAS_INT` stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
+
+```c
+void c_dsyr( const CBLAS_LAYOUT layout, const CBLAS_UPLO uplo, const CBLAS_INT N, const double alpha, const double *X, const CBLAS_INT strideX, double *A, const CBLAS_INT LDA )
+```
+
+#### c_dsyr_ndarray( uplo, N, alpha, \*X, sx, ox, \*A, sa1, sa2, oa )
+
+Performs the symmetric rank 1 operation `A = α*x*x^T + A`, using alternative indexing semantics and where `α` is a scalar, `x` is an `N` element vector, and `A` is an `N` by `N` symmetric matrix.
+
+```c
+#include "stdlib/blas/base/shared.h"
+
+double A[] = { 1.0, 2.0, 3.0, 2.0, 1.0, 2.0, 3.0, 2.0, 1.0 };
+const double x[] = { 1.0, 2.0, 3.0 };
+
+c_dsyr_ndarray( CblasUpper, 3, 1.0, x, 1, 0, A, 3, 1, 0 );
+```
+
+The function accepts the following arguments:
+
+-   **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.
+-   **X**: `[in] double*` input array.
+-   **sx**: `[in] CBLAS_INT` stride length for `X`.
+-   **ox**: `[in] CBLAS_INT` starting index for `X`.
+-   **A**: `[inout] double*` input matrix.
+-   **sa1**: `[in] CBLAS_INT` stride of the first dimension of `A`.
+-   **sa2**: `[in] CBLAS_INT` stride of the second dimension of `A`.
+-   **oa**: `[in] CBLAS_INT` starting index for `A`.
 
 ```c
-TODO
+void c_dsyr_ndarray( const CBLAS_UPLO uplo, const CBLAS_INT N, const double alpha, const double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, double *A, const CBLAS_INT strideA1, const CBLAS_INT strideA2, const CBLAS_INT offsetA )
 ```
 
 </section>
@@ -219,7 +270,46 @@ TODO
 ### Examples
 
 ```c
-TODO
+#include "stdlib/blas/base/dsyr.h"
+#include "stdlib/blas/base/shared.h"
+#include <stdio.h>
+
+int main( void ) {
+    // Define 3x3 symmetric matrices stored in row-major layout:
+    double A1[ 3*3 ] = {
+        1.0, 2.0, 3.0,
+        2.0, 1.0, 2.0,
+        3.0, 2.0, 1.0
+    };
+
+    double A2[ 3*3 ] = {
+        1.0, 2.0, 3.0,
+        2.0, 1.0, 2.0,
+        3.0, 2.0, 1.0
+    };
+
+    // Define a vector:
+    const double x[ 3 ] = { 1.0, 2.0, 3.0 };
+
+    // Specify the number of elements along each dimension of `A1` and `A2`:
+    const int N = 3;
+
+    // Perform the symmetric rank 1 operation `A = α*x*x^T + A`:
+    c_dsyr( CblasColMajor, CblasUpper, N, 1.0, x, 1, A1, N );
+
+    // Print the result:
+    for ( int i = 0; i < N*N; i++ ) {
+        printf( "A1[ %i ] = %f\n", i, A1[ i ] );
+    }
+
+    // Perform the symmetric rank 1 operation `A = α*x*x^T + A` using alternative indexing semantics:
+    c_dsyr_ndarray( CblasUpper, N, 1.0, x, 1, 0, A2, N, 1, 0 );
+
+    // Print the result:
+    for ( int i = 0; i < N*N; i++ ) {
+        printf( "A2[ %i ] = %f\n", i, A[ i ] );
+    }
+}
 ```
 
 </section>

lib/node_modules/@stdlib/blas/base/dsyr/benchmark/benchmark.native.js

@@ -0,0 +1,109 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+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 dsyr = tryRequire( resolve( __dirname, './../lib/dsyr.native.js' ) );
+var opts = {
+	'skip': ( dsyr 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 = ones( N, options.dtype );
+	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 = dsyr( 'row-major', 'upper', N, 1.0, x, 1, A, N );
+			if ( isnan( z[ i%z.length ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( z[ i%z.length ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* 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( pkg+'::native:size='+(N*N), opts, f );
+	}
+}
+
+main();