feat: add blas/base/sger

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

@@ -0,0 +1,379 @@
+<!--
+
+@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.
+
+-->
+
+# sger
+
+> Perform the rank 1 operation `A = α*x*y^T + A`.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var sger = require( '@stdlib/blas/base/sger' );
+```
+
+#### sger( order, M, N, α, x, sx, y, sy, A, lda )
+
+Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix.
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var x = new Float32Array( [ 1.0, 1.0 ] );
+var y = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+
+sger( 'row-major', 2, 3, 1.0, x, 1, y, 1, A, 3 );
+// A => <Float32Array>[ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ]
+```
+
+The function has the following parameters:
+
+-   **order**: storage layout.
+-   **M**: number of rows in the matrix `A`.
+-   **N**: number of columns in the matrix `A`.
+-   **α**: scalar constant.
+-   **x**: an `M` element [`Float32Array`][mdn-float32array].
+-   **sx**: stride length for `x`.
+-   **y**: an `N` element [`Float32Array`][mdn-float32array].
+-   **sy**: stride length for `y`.
+-   **A**: input matrix stored in linear memory as a [`Float32Array`][mdn-float32array].
+-   **lda**: stride of the first dimension of `A` (leading dimension of `A`).
+
+The stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to iterate over every other element in `x` and `y`,
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var A = new Float32Array( [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ] );
+var x = new Float32Array( [ 1.0, 0.0, 1.0, 0.0 ] );
+var y = new Float32Array( [ 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ] );
+
+sger( 'column-major', 2, 3, 1.0, x, 2, y, 2, A, 2 );
+// A => <Float32Array>[ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ]
+```
+
+Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
+
+<!-- eslint-disable stdlib/capitalized-comments -->
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+// Initial arrays...
+var x0 = new Float32Array( [ 0.0, 1.0, 1.0 ] );
+var y0 = new Float32Array( [ 0.0, 1.0, 1.0, 1.0 ] );
+var A = new Float32Array( [ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ] );
+
+// Create offset views...
+var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var y1 = new Float32Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+sger( 'column-major', 2, 3, 1.0, x1, -1, y1, -1, A, 2 );
+// A => <Float32Array>[ 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ]
+```
+
+#### sger.ndarray( M, N, α, x, sx, ox, y, sy, oy, A, sa1, sa2, oa )
+
+Performs the rank 1 operation `A = α*x*y^T + A`, using alternative indexing semantics and where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix.
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
+var x = new Float32Array( [ 1.0, 1.0 ] );
+var y = new Float32Array( [ 1.0, 1.0, 1.0 ] );
+
+sger.ndarray( 2, 3, 1.0, x, 1, 0, y, 1, 0, A, 3, 1, 0 );
+// A => <Float32Array>[ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ]
+```
+
+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 Float32Array = require( '@stdlib/array/float32' );
+
+var A = new Float32Array( [ 0.0, 0.0, 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ] );
+var x = new Float32Array( [ 0.0, 1.0, 0.0, 1.0, 0.0 ] );
+var y = new Float32Array( [ 0.0, 1.0, 0.0, 1.0, 0.0, 1.0, 0.0 ] );
+
+sger.ndarray( 2, 3, 1.0, x, 2, 1, y, 2, 1, A, 1, 2, 2 );
+// A => <Float32Array>[ 0.0, 0.0, 2.0, 5.0, 3.0, 6.0, 4.0, 7.0 ]
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   `sger()` corresponds to the [BLAS][blas] level 2 function [`sger`][blas-sger].
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var sger = require( '@stdlib/blas/base/sger' );
+
+var opts = {
+    'dtype': 'float32'
+};
+
+var M = 3;
+var N = 5;
+
+var A = discreteUniform( M*N, 0, 255, opts );
+var x = discreteUniform( M, 0, 255, opts );
+var y = discreteUniform( N, 0, 255, opts );
+
+sger( 'row-major', M, N, 1.0, x, 1, y, 1, A, N );
+console.log( A );
+
+sger.ndarray( M, N, 1.0, x, 1, 0, y, 1, 0, A, 1, M, 0 );
+console.log( A );
+
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- C interface documentation. -->
+
+* * *
+
+<section class="c">
+
+## C APIs
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- C usage documentation. -->
+
+<section class="usage">
+
+### Usage
+
+```c
+#include "stdlib/blas/base/sger.h"
+```
+
+#### c_sger( layout, M, N, alpha, \*X, strideX, \*Y, strideY, \*A, LDA )
+
+Performs the rank 1 operation `A = alpha*x*y^T + A`, where `alpha` is a scalar, `X` is an `M` element vector, `Y` is an `N` element vector, and `A` is an `M`-by-`N` matrix.
+
+```c
+#include "stdlib/blas/base/shared.h"
+
+float A[ 3*4 ] = {
+   0.0f, 0.0f, 0.0f, 0.0f,
+   0.0f, 0.0f, 0.0f, 0.0f,
+   0.0f, 0.0f, 0.0f, 0.0f
+};
+
+const float x[ 3 ] = { 1.0f, 4.0f, 0.0f };
+const float y[ 4 ] = { 0.0f, 1.0f, 2.0f, 3.0f };
+
+c_sger( CblasRowMajor, 3, 4, 1.0f, x, 1, y, 1, A, 4 );
+```
+
+The function accepts the following arguments:
+
+-   **layout**: `[in] CBLAS_LAYOUT` storage layout.
+-   **M**: `[in] CBLAS_INT` number of rows in the matrix `A`.
+-   **N**: `[in] CBLAS_INT` number of columns in the matrix `A`.
+-   **alpha**: `[in] float` scalar constant.
+-   **X**: `[in] float*` an `M` element vector.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **Y**: `[in] float*` an `N` element vector.
+-   **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+-   **A**: `[inout] float*` 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_sger( const CBLAS_LAYOUT layout, const CBLAS_INT M, const CBLAS_INT N, const float alpha, const float *X, const CBLAS_INT strideX, const float *Y, const CBLAS_INT strideY, float *A, const CBLAS_INT LDA );
+```
+
+#### c_sger_ndarray( M, N, alpha, \*X, sx, ox, \*Y, sy, oy, \*A, sa1, sa2, oa )
+
+Performs the rank 1 operation `A = alpha*x*y^T + A`, using alternative indexing semantics and where `alpha` is a scalar, `X` is an `M` element vector, `Y` is an `N` element vector, and `A` is an `M`-by-`N` matrix.
+
+```c
+#include "stdlib/blas/base/shared.h"
+
+float A[ 3*4 ] = {
+   0.0f, 0.0f, 0.0f, 0.0f,
+   0.0f, 0.0f, 0.0f, 0.0f,
+   0.0f, 0.0f, 0.0f, 0.0f
+};
+
+const float x[ 3 ] = { 1.0f, 4.0f, 0.0f };
+const float y[ 4 ] = { 0.0f, 1.0f, 2.0f, 3.0f };
+
+c_sger_ndarray( 3, 4, 1.0f, x, 1, 0, y, 1, 0, A, 4, 1, 0 );
+```
+
+The function accepts the following arguments:
+
+-   **layout**: `[in] CBLAS_LAYOUT` storage layout.
+-   **M**: `[in] CBLAS_INT` number of rows in the matrix `A`.
+-   **N**: `[in] CBLAS_INT` number of columns in the matrix `A`.
+-   **alpha**: `[in] float` scalar constant.
+-   **X**: `[in] float*` an `M` element vector.
+-   **sx**: `[in] CBLAS_INT` stride length for `X`.
+-   **ox**: `[in] CBLAS_INT` starting index for `X`.
+-   **Y**: `[in] float*` an `N` element vector.
+-   **sy**: `[in] CBLAS_INT` stride length for `Y`.
+-   **oy**: `[in] CBLAS_INT` starting index for `Y`.
+-   **A**: `[inout] float*` 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
+void c_sger( onst CBLAS_INT M, const CBLAS_INT N, const float alpha, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const float *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY, float *A, const CBLAS_INT strideA1, const CBLAS_INT strideA2, const CBLAS_INT offsetA );
+```
+
+</section>
+
+<!-- /.usage -->
+
+<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<!-- C API usage examples. -->
+
+<section class="examples">
+
+### Examples
+
+```c
+#include "stdlib/blas/base/sger.h"
+#include "stdlib/blas/base/shared.h"
+#include <stdio.h>
+
+int main( void ) {
+   // Define a 3x4 matrix stored in row-major order:
+   float A[ 3*4 ] = {
+      0.0f, 0.0f, 0.0f, 0.0f,
+      0.0f, 0.0f, 0.0f, 0.0f,
+      0.0f, 0.0f, 0.0f, 0.0f
+   };
+   // Define `x` and `y^T` vectors:
+   const float x[ 3 ] = { 1.0f, 4.0f, 0.0f };       // M
+   const float y[ 4 ] = { 0.0f, 1.0f, 2.0f, 3.0f }; // N
+
+   // Specify the number of rows and columns:
+   const int M = 3;
+   const int N = 4;
+
+   // Specify stride lengths:
+   const int strideX = 1;
+   const int strideY = 1;
+
+   // Perform operation:
+   c_sger( CblasRowMajor, M, N, 1.0f, x, strideX, y, strideY, A, N );
+
+   // Print the result:
+   for ( int i = 0; i < M; i++ ) {
+      for ( int j = 0; j < N; j++ ) {
+         printf( "A[%i,%i] = %f\n", i, j, A[ (i*N)+j ] );
+      }
+   }
+
+   // Perform operation using alterntive indexing semantics:
+   c_sger( CblasRowMajor, M, N, 1.0f, x, strideX, 0, y, 0, strideY, A, N, 1, 0 );
+
+   // Print the result:
+   for ( int i = 0; i < M; i++ ) {
+      for ( int j = 0; j < N; j++ ) {
+         printf( "A[%i,%i] = %f\n", i, j, A[ (i*N)+j ] );
+      }
+   }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[blas]: http://www.netlib.org/blas
+
+[blas-sger]: https://www.netlib.org/lapack/explore-html/d8/d75/group__ger_ga95baec6bb0a84393d7bc67212b566ab0.html
+
+[mdn-float32array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float32Array
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+</section>
+
+<!-- /.links -->