feat: add blas/ext/base/svander

lib/node_modules/@stdlib/blas/ext/base/svander/README.md

@@ -0,0 +1,312 @@
+<!--
+
+@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.
+
+-->
+
+# svander
+
+> Generate a single-precision floating-point Vandermonde matrix.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var svander = require( '@stdlib/blas/ext/base/svander' );
+```
+
+#### svander( order, mode, M, N, x, strideX, out, ldo )
+
+Generates a single-precision floating-point Vandermonde matrix.
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var x = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+var out = new Float32Array( 9 );
+
+svander( 'row-major', -1, 3, 3, x, 1, out, 3 );
+// out => <Float32Array>[ 1.0, 1.0, 1.0, 4.0, 2.0, 1.0, 9.0, 3.0, 1.0 ]
+```
+
+The function has the following parameters:
+
+-   **order**: row-major (C-style) or column-major (Fortran-style) order.
+-   **mode**: mode. If `mode < 0`, the function generates decreasing powers. If `mode > 0`, the function generates increasing powers.
+-   **M**: number of rows in `out` and number of indexed elements in `x`.
+-   **N**: number of columns in `out`.
+-   **x**: input [`Float32Array`][@stdlib/array/float32].
+-   **strideX**: stride length for `x`.
+-   **out**: output matrix stored in linear memory as a [`Float32Array`][@stdlib/array/float32].
+-   **ldo**: stride of the first dimension of `out` (a.k.a., leading dimension of the matrix `out`).
+
+<!-- lint disable maximum-heading-length -->
+
+#### svander.ndarray( mode, M, N, x, strideX, offsetX, out, strideOut1, strideOut2, offsetOut )
+
+<!-- lint enable maximum-heading-length -->
+
+Generates a single-precision floating-point Vandermonde matrix using alternative indexing semantics.
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var x = new Float32Array( [ 1.0, 2.0, 3.0 ] );
+var out = new Float32Array( 9 );
+
+svander.ndarray( -1, 3, 3, x, 1, 0, out, 3, 1, 0 );
+// out => <Float32Array>[ 1.0, 1.0, 1.0, 4.0, 2.0, 1.0, 9.0, 3.0, 1.0 ]
+```
+
+The function has the following additional parameters:
+
+-   **offsetX**: starting index for `x`.
+-   **strideOut1**: stride length for the first dimension of `out`.
+-   **strideOut2**: stride length for the second dimension of `out`.
+-   **offsetOut**: starting index for `out`.
+
+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 x = new Float32Array( [ 0.0, 1.0, 2.0, 3.0 ] );
+var out = new Float32Array( 9 );
+
+svander.ndarray( -1, 3, 3, x, 1, 1, out, 3, 1, 0 );
+// out => <Float32Array>[ 1.0, 1.0, 1.0, 4.0, 2.0, 1.0, 9.0, 3.0, 1.0 ]
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   If `M <= 0` or `N <= 0`, both functions return `out` unchanged.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var Float32Array = require( '@stdlib/array/float32' );
+var svander = require( '@stdlib/blas/ext/base/svander' );
+
+var M = 3;
+var N = 4;
+
+var x = discreteUniform( M, 0, 10, {
+    'dtype': 'float32'
+});
+var out = new Float32Array( M*N );
+
+svander( 'row-major', -1, M, N, x, 1, out, N );
+console.log( out );
+
+out = new Float32Array( M*N );
+svander.ndarray( -1, M, N, x, 1, 0, out, N, 1, 0 );
+console.log( out );
+```
+
+</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/ext/base/svander.h"
+```
+
+#### stdlib_strided_svander( order, mode, M, N, \*X, strideX, \*Out, LDO )
+
+Generates a single-precision floating-point Vandermonde matrix.
+
+```c
+#include "stdlib/blas/base/shared.h"
+
+const float x[ 3 ] = { 1.0f, 2.0f, 3.0f };
+float Out[ 3*3 ] = { 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f };
+
+stdlib_strided_svander( CblasRowMajor, -1.0f, 3, 3, x, 1, Out, 3 );
+```
+
+The function accepts the following arguments:
+
+-   **order**: `[in] CBLAS_LAYOUT` storage layout.
+-   **mode**: `[in] float` mode. If `mode < 0`, the function generates decreasing powers. If `mode > 0`, the function generates increasing powers..
+-   **M**: `[in] CBLAS_INT` number of rows in `Out` and number of indexed elements in `X`.
+-   **N**: `[in] CBLAS_INT` number of columns in `Out`.
+-   **X**: `[in] float*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **Out**: `[out] float*` output matrix.
+-   **LDO**: `[in] CBLAS_INT` stride of the first dimension of `Out` (a.k.a., leading dimension of the matrix `Out`).
+
+```c
+void API_SUFFIX(stdlib_strided_svander)( const CBLAS_LAYOUT order, const float mode, const CBLAS_INT M, const CBLAS_INT N, const float *X, const CBLAS_INT strideX, float *Out, const CBLAS_INT LDO );
+```
+
+<!-- lint disable maximum-heading-length -->
+
+#### stdlib_strided_svander_ndarray( mode, M, N, \*X, strideX, offsetX, \*Out, strideOut1, strideOut2, offsetOut )
+
+<!-- lint enable maximum-heading-length -->
+
+Generates a single-precision floating-point Vandermonde matrix using alternative indexing semantics.
+
+```c
+#include "stdlib/blas/base/shared.h"
+
+const float x[ 3 ] = { 1.0f, 2.0f, 3.0f };
+float Out[ 3*3 ] = { 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f };
+
+stdlib_strided_svander_ndarray( -1.0f, 3, 3, x, 1, 0, Out, 3, 1, 0 );
+```
+
+The function accepts the following arguments:
+
+-   **mode**: `[in] float` mode. if `mode < 0`, the function generates decreasing powers; if `mode > 0`, the function generates increasing powers..
+-   **M**: `[in] CBLAS_INT` number of rows in `Out` and number of indexed elements in `X`.
+-   **N**: `[in] CBLAS_INT` number of columns in `Out`.
+-   **X**: `[in] float*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **offsetX**: `[in] CBLAS_INT` starting index for `X`.
+-   **Out**: `[out] float*` output matrix.
+-   **strideOut1**: `[in] CBLAS_INT` stride length for the first dimension of `Out`.
+-   **strideOut2**: `[in] CBLAS_INT` stride length for the second dimension of `Out`.
+-   **offsetOut**: `[in] CBLAS_INT` starting index for `Out`.
+
+```c
+void API_SUFFIX(stdlib_strided_svander_ndarray)( const float mode, const CBLAS_INT M, const CBLAS_INT N, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, float *Out, const CBLAS_INT strideOut1, const CBLAS_INT strideOut2, const CBLAS_INT offsetOut );
+```
+
+</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/ext/base/svander.h"
+#include "stdlib/blas/base/shared.h"
+#include <stdio.h>
+
+int main( void ) {
+    // Define the input array:
+    const float x[ 3 ] = { 1.0f, 2.0f, 3.0f };
+
+    // Define a 3x3 output array stored in row-major order:
+    float Out[ 3*3 ] = { 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f };
+
+    // Specify the number of rows and columns:
+    const int M = 3;
+    const int N = 3;
+
+    // Perform operation:
+    stdlib_strided_svander( CblasRowMajor, -1.0f, M, N, x, 1, Out, N );
+
+    // Print the result:
+    for ( int i = 0; i < M; i++ ) {
+        for ( int j = 0; j < N; j++ ) {
+            printf( "Out[%i,%i] = %f\n", i, j, Out[ (i*N)+j ] );
+        }
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- 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">
+
+[@stdlib/array/float32]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/float32
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+</section>
+
+<!-- /.links -->