feat: add blas/ext/base/dcartesian-product

lib/node_modules/@stdlib/blas/ext/base/dcartesian-product/README.md

@@ -0,0 +1,348 @@
+<!--
+
+@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.
+
+-->
+
+# dcartesianProduct
+
+> Compute the Cartesian product for two double-precision floating-point strided arrays.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var dcartesianProduct = require( '@stdlib/blas/ext/base/dcartesian-product' );
+```
+
+#### dcartesianProduct( M, N, x, strideX, y, strideY, out, LDO )
+
+Computes the Cartesian product for two double-precision floating-point strided arrays.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var x = new Float64Array( [ 1.0, 2.0 ] );
+var y = new Float64Array( [ 3.0, 4.0 ] );
+var out = new Float64Array( 8 );
+
+// Compute the Cartesian product:
+dcartesianProduct( x.length, y.length, x, 1, y, 1, out, 2 );
+// out => <Float64Array>[ 1.0, 3.0, 1.0, 4.0, 2.0, 3.0, 2.0, 4.0 ]
+```
+
+The function has the following parameters:
+
+-   **M**: number of indexed elements of `x`.
+-   **N**: number of indexed elements of `y`.
+-   **x**: input [`Float64Array`][@stdlib/array/float64].
+-   **strideX**: stride length for `x`.
+-   **y**: input [`Float64Array`][@stdlib/array/float64].
+-   **strideY**: stride length for `y`.
+-   **out**: output [`Float64Array`][@stdlib/array/float64].
+-   **LDO**: stride length for the leading dimension of `out`.
+
+The `M`, `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to compute the Cartesian square of every other element:
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var x = new Float64Array( [ 1.0, 0.0, 2.0, 0.0 ] );
+var y = new Float64Array( [ 3.0, 0.0, 4.0, 0.0 ] );
+var out = new Float64Array( 8 );
+
+// Compute the Cartesian product:
+dcartesianProduct( 2, 2, x, 2, y, 2, out, 2 );
+// out => <Float64Array>[ 1.0, 3.0, 1.0, 4.0, 2.0, 3.0, 2.0, 4.0 ]
+```
+
+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 array...
+var x0 = new Float64Array( [ 0.0, 1.0, 2.0 ] );
+var y0 = new Float64Array( [ 0.0, 3.0, 4.0 ] );
+
+// Create an offset view...
+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
+
+var out = new Float64Array( 8 );
+
+// Compute the Cartesian product:
+dcartesianProduct( 2, 2, x1, 1, y1, 1, out, 2 );
+// out => <Float64Array>[ 1.0, 3.0, 1.0, 4.0, 2.0, 3.0, 2.0, 4.0 ]
+```
+
+<!--lint disable maximum-heading-length-->
+
+#### dcartesianProduct.ndarray( M, N, x, strideX, offsetX, y, strideY, offsetY, out, strideOut1, strideOut2, offsetOut )
+
+<!--lint enable maximum-heading-length-->
+
+Computes the Cartesian product for two double-precision floating-point strided arrays using alternative indexing semantics.
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var x = new Float64Array( [ 1.0, 2.0 ] );
+var y = new Float64Array( [ 3.0, 4.0 ] );
+var out = new Float64Array( 8 );
+
+// Compute the Cartesian product:
+dcartesianProduct.ndarray( x.length, y.length, x, 1, 0, y, 1, 0, out, 2, 1, 0 );
+// out => <Float64Array>[ 1.0, 3.0, 1.0, 4.0, 2.0, 3.0, 2.0, 4.0 ]
+```
+
+The function has the following additional parameters:
+
+-   **offsetX**: starting index for `x`.
+-   **offsetY**: starting index for `y`.
+-   **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, to access only the last two elements:
+
+```javascript
+var Float64Array = require( '@stdlib/array/float64' );
+
+var x = new Float64Array( [ 0.0, 0.0, 1.0, 2.0 ] );
+var y = new Float64Array( [ 0.0, 0.0, 3.0, 4.0 ] );
+var out = new Float64Array( 8 );
+
+// Compute the Cartesian product:
+dcartesianProduct.ndarray( 2, 2, x, 1, 2, y, 1, 2, out, 2, 1, 0 );
+// out => <Float64Array>[ 1.0, 3.0, 1.0, 4.0, 2.0, 3.0, 2.0, 4.0 ]
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   For an input array `x` of length `M` and an input array `y` of length `N`, the output array `out` must contain at least `M*N*2` elements.
+-   If `N <= 0` or `M <= 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 Float64Array = require( '@stdlib/array/float64' );
+var dcartesianProduct = require( '@stdlib/blas/ext/base/dcartesian-product' );
+
+var M = 3;
+var N = 4;
+var x = discreteUniform( M, 1, 10, {
+    'dtype': 'float64'
+});
+console.log( x );
+
+var y = discreteUniform( N, 1, 10, {
+    'dtype': 'float64'
+});
+console.log( y );
+
+var out = new Float64Array( M * N * 2 );
+
+// Compute the Cartesian product:
+dcartesianProduct( M, N, x, 1, y, 1, out, 2 );
+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/dcartesianproduct.h"
+```
+
+#### stdlib_strided_dcartesian_product( M, N, \*X, strideX, \*Y, strideY, \*Out, LDO )
+
+Computes the Cartesian product for two double-precision floating-point strided arrays.
+
+```c
+const double x[] = { 1.0, 2.0 };
+const double y[] = { 3.0, 4.0 };
+double out[] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };
+
+stdlib_strided_dcartesian_product( 2, 2, x, 1, y, 1, out, 2 );
+```
+
+The function accepts the following arguments:
+
+-   **M**: `[in] CBLAS_INT` number of indexed elements of `X`.
+-   **N**: `[in] CBLAS_INT` number of indexed elements of `Y`.
+-   **X**: `[in] double*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **Y**: `[in] double*` input array.
+-   **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+-   **Out**: `[out] double*` output array.
+-   **LDO**: `[in] CBLAS_INT` stride of the leading dimension of `Out`.
+
+```c
+void stdlib_strided_dcartesian_product( const CBLAS_INT M, const CBLAS_INT N, const double *X, const CBLAS_INT strideX, const double *Y, const CBLAS_INT strideY, double *Out, const CBLAS_INT LDO );
+```
+
+<!--lint disable maximum-heading-length-->
+
+#### stdlib_strided_dcartesian_product_ndarray( M, N, \*X, strideX, offsetX, \*Y, strideY, offsetY, \*Out, strideOut1, strideOut2, offsetOut )
+
+<!--lint enable maximum-heading-length-->
+
+Computes the Cartesian product for two double-precision floating-point strided arrays using alternative indexing semantics.
+
+```c
+const double x[] = { 1.0, 2.0 };
+const double y[] = { 3.0, 4.0 };
+double out[] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };
+
+stdlib_strided_dcartesian_product_ndarray( 2, 2, x, 1, 0, y, 1, 0, out, 2, 1, 0 );
+```
+
+The function accepts the following arguments:
+
+-   **M**: `[in] CBLAS_INT` number of indexed elements of `X`.
+-   **N**: `[in] CBLAS_INT` number of indexed elements of `Y`.
+-   **X**: `[in] double*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **offsetX**: `[in] CBLAS_INT` starting index for `X`.
+-   **Y**: `[in] double*` input array.
+-   **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+-   **offsetY**: `[in] CBLAS_INT` starting index for `Y`.
+-   **Out**: `[out] double*` output array.
+-   **strideOut1**: `[in] CBLAS_INT` stride length of the first dimension of `Out`.
+-   **strideOut2**: `[in] CBLAS_INT` stride length of the second dimension of `Out`.
+-   **offsetOut**: `[in] CBLAS_INT` starting index for `Out`.
+
+```c
+void stdlib_strided_dcartesian_product_ndarray( const CBLAS_INT M, const CBLAS_INT N, const double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const double *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY, double *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/dcartesianproduct.h"
+#include <stdio.h>
+
+int main( void ) {
+    // Create strided input arrays:
+    const double X[] = { 1.0, 2.0, 3.0, 4.0 };
+    const double Y[] = { 5.0, 6.0, 7.0, 8.0 };
+
+    // Specify the number of indexed elements:
+    const int M = 4;
+    const int N = 4;
+
+    // Create an output array (M*N pairs, each pair has 2 elements):
+    double out[ 32 ];
+
+    // Specify strides:
+    const int strideX = 1;
+    const int strideY = 1;
+    const int LDO = 2;
+
+    // Compute the Cartesian product:
+    stdlib_strided_dcartesian_product( M, N, X, strideX, Y, strideY, out, LDO );
+
+    // Print the result:
+    for ( int i = 0; i < M*N; i++ ) {
+        printf( "out[ %i ] = ( %lf, %lf )\n", i, out[ i*2 ], out[ i*2+1 ] );
+    }
+}
+```
+
+</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">
+
+[@stdlib/array/float64]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/float64
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+</section>
+
+<!-- /.links -->