feat: add C and Fortran implementation for blas/base/zaxpy

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

@@ -51,9 +51,9 @@ The function has the following parameters:
 -   **N**: number of indexed elements.
 -   **alpha**: scalar [`Complex128`][@stdlib/complex/float64/ctor] constant.
 -   **x**: first input [`Complex128Array`][@stdlib/array/complex128].
--   **strideX**: index increment for `x`.
+-   **strideX**: stride length for `x`.
 -   **y**: second input [`Complex128Array`][@stdlib/array/complex128].
--   **strideY**: index increment for `y`.
+-   **strideY**: stride length for `y`.
 
 The `N` and stride parameters determine how values from `x` are scaled by `alpha` and added to `y`. For example, to scale every other value in `x` by `alpha` and add the result to every other value of `y`,
 
@@ -137,6 +137,7 @@ zaxpy.ndarray( 3, alpha, x, 1, 1, y, 1, 1 );
 ## Notes
 
 -   If `N <= 0`, both functions return `y` unchanged.
+-   If `alpha === 0`, both functions return `y` unchanged.
 -   `zaxpy()` corresponds to the [BLAS][blas] level 1 function [`zaxpy`][zaxpy].
 
 </section>
@@ -171,6 +172,14 @@ var alpha = new Complex128( 2.0, 2.0 );
 // Scale values from `x` by `alpha` and add the result to `y`:
 zaxpy( x.length, alpha, x, 1, y, 1 );
 
+// Print the results:
+logEach( '(%s)*(%s) + (%s) = %s', alpha, x, yc, y );
+
+yc = zcopy( y.length, y, 1, zeros( y.length, 'complex128' ), 1 );
+
+// Scale values from `x` by `alpha` and add the result to `y` using alternative indexing semantics:
+zaxpy.ndarray( x.length, alpha, x, 1, 0, y, 1, 0 );
+
 // Print the results:
 logEach( '(%s)*(%s) + (%s) = %s', alpha, x, yc, y );
 ```
@@ -179,6 +188,152 @@ logEach( '(%s)*(%s) + (%s) = %s', alpha, x, yc, y );
 
 <!-- /.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/caxpy.h"
+```
+
+#### c_caxpy( N, alpha, \*X, strideX, \*Y, strideY )
+
+Scales values from `X` by `alpha` and adds the result to `Y`.
+
+```c
+#include "stdlib/complex/float32/ctor.h"
+
+float x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };
+float y[] = { -1.0, -2.0, -3.0, -4.0, -5.0, -6.0, -7.0, -8.0 };
+const stdlib_complex128_t alpha = stdlib_complex128( 2.0, 2.0 );
+
+c_caxpy( 4, alpha, (void *)x, 1, (void *)y, 1 );
+```
+
+The function accepts the following arguments:
+
+-   **N**: `[in] CBLAS_INT` number of indexed elements.
+-   **alpha**: `[in] stdlib_complex128_t` scalar constant.
+-   **X**: `[in] void*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **Y**: `[inout] void*` output array.
+-   **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+
+```c
+void c_caxpy( const CBLAS_INT N, const stdlib_complex128_t alpha, const void *x, const CBLAS_INT strideX, void *y, const CBLAS_INT strideY );
+```
+
+#### c_caxpy_ndarray( N, alpha, \*X, strideX, offsetX, \*Y, strideY, offsetY )
+
+Scales values from `X` by `alpha` and adds the result to `Y` using alternative indexing semantics.
+
+```c
+#include "stdlib/complex/float32/ctor.h"
+
+float x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };
+float y[] = { -1.0, -2.0, -3.0, -4.0, -5.0, -6.0, -7.0, -8.0 };
+const stdlib_complex128_t alpha = stdlib_complex128( 2.0, 2.0 );
+
+c_caxpy_ndarray( 4, alpha, (void *)x, 1, 0, (void *)y, 1, 0 );
+```
+
+The function accepts the following arguments:
+
+-   **N**: `[in] CBLAS_INT` number of indexed elements.
+-   **alpha**: `[in] stdlib_complex128_t` scalar constant.
+-   **X**: `[in] void*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **offsetX**: `[in] CBLAS_INT` starting index for `X`.
+-   **Y**: `[inout] void*` output array.
+-   **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+-   **offsetY**: `[in] CBLAS_INT` starting index for `Y`.
+
+```c
+void c_caxpy_ndarray( const CBLAS_INT N, const stdlib_complex128_t alpha, const void *x, const CBLAS_INT strideX, const CBLAS_INT offsetX, void *y, const CBLAS_INT strideY, const CBLAS_INT offsetY );
+```
+
+</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/caxpy.h"
+#include "stdlib/complex/float32/ctor.h"
+#include <stdio.h>
+
+int main( void ) {
+    // Create strided arrays:
+    double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };
+    double y[] = { 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 };
+
+    // Create a complex scalar:
+    const stdlib_complex128_t alpha = stdlib_complex128( 2.0, 2.0 );
+
+    // Specify the number of elements:
+    const int N = 4;
+
+    // Specify stride lengths:
+    const int strideX = 1;
+    const int strideY = 1;
+
+    // Scale values from `x` by `alpha` and add the result to `y`:
+    c_zaxpy( N, alpha, (void *)x, strideX, (void *)y, strideY );
+
+    // Print the result:
+    for ( int i = 0; i < N; i++ ) {
+        printf( "zaxpy[ %i ] = %lf + %lfj\n", i, y[ i * 2 ], y[ ( i * 2 ) + 1 ] );
+    }
+
+    // Scale values from `x` by `alpha` and add the result to `y` using alternative indexing semantics:
+    c_zaxpy_ndarray( N, alpha, (void *)x, strideX, 0, (void *)y, strideY, 0 );
+
+    // Print the result:
+    for ( int i = 0; i < N; i++ ) {
+        printf( "zaxpy[ %i ] = %lf + %lfj\n", i, y[ i * 2 ], y[ ( 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">
@@ -193,7 +348,7 @@ logEach( '(%s)*(%s) + (%s) = %s', alpha, x, yc, y );
 
 [blas]: http://www.netlib.org/blas
 
-[zaxpy]: https://www.netlib.org/lapack/explore-html/d5/d4b/group__axpy_ga0b7bac1f4d42514074a48f14f5f9caa0.html#ga0b7bac1f4d42514074a48f14f5f9caa0
+[zaxpy]: https://www.netlib.org/lapack/explore-html/d5/d4b/group__axpy_gaf603daa00d5c723d0e409d9b2d011bf4.html
 
 [mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
 

lib/node_modules/@stdlib/blas/base/zaxpy/benchmark/benchmark.js

@@ -44,17 +44,17 @@ var options = {
 * Creates a benchmark function.
 *
 * @private
-* @param {PositiveInteger} len - array length
+* @param {PositiveInteger} N - array length
 * @returns {Function} benchmark function
 */
-function createBenchmark( len ) {
+function createBenchmark( N ) {
 	var viewY;
 	var alpha;
 	var x;
 	var y;
 
-	x = new Complex128Array( uniform( len*2, -100.0, 100.0, options ) );
-	y = new Complex128Array( uniform( len*2, -100.0, 100.0, options ) );
+	x = new Complex128Array( uniform( N*2, -100.0, 100.0, options ) );
+	y = new Complex128Array( uniform( N*2, -100.0, 100.0, options ) );
 
 	viewY = reinterpret( y, 0 );
 
@@ -74,12 +74,12 @@ function createBenchmark( len ) {
 		b.tic();
 		for ( i = 0; i < b.iterations; i++ ) {
 			zaxpy( x.length, alpha, x, 1, y, 1 );
-			if ( isnan( viewY[ i%(len*2) ] ) ) {
+			if ( isnan( viewY[ i%(N*2) ] ) ) {
 				b.fail( 'should not return NaN' );
 			}
 		}
 		b.toc();
-		if ( isnan( viewY[ i%(len*2) ] ) ) {
+		if ( isnan( viewY[ i%(N*2) ] ) ) {
 			b.fail( 'should not return NaN' );
 		}
 		b.pass( 'benchmark finished' );
@@ -96,19 +96,19 @@ function createBenchmark( len ) {
 * @private
 */
 function main() {
-	var len;
 	var min;
 	var max;
+	var N;
 	var f;
 	var i;
 
 	min = 1; // 10^min
 	max = 6; // 10^max
 
 	for ( i = min; i <= max; i++ ) {
-		len = pow( 10, i );
-		f = createBenchmark( len );
-		bench( pkg+':len='+len, f );
+		N = pow( 10, i );
+		f = createBenchmark( N );
+		bench( pkg+':size='+N, f );
 	}
 }
 

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

@@ -0,0 +1,120 @@
+/**
+* @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 uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var Complex128Array = require( '@stdlib/array/complex128' );
+var Complex128 = require( '@stdlib/complex/float64/ctor' );
+var reinterpret = require( '@stdlib/strided/base/reinterpret-complex128' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var zaxpy = tryRequire( resolve( __dirname, './../lib/zaxpy.native.js' ) );
+var opts = {
+	'skip': ( zaxpy instanceof Error )
+};
+var options = {
+	'dtype': 'float64'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var viewY;
+	var alpha;
+	var x;
+	var y;
+
+	x = new Complex128Array( uniform( N*2, -100.0, 100.0, options ) );
+	y = new Complex128Array( uniform( N*2, -100.0, 100.0, options ) );
+
+	viewY = reinterpret( y, 0 );
+
+	alpha = new Complex128( 1.0, 0.0 );
+
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			zaxpy( x.length, alpha, x, 1, y, 1 );
+			if ( isnan( viewY[ i%(N*2) ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnan( viewY[ i%(N*2) ] ) ) {
+			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 = pow( 10, i );
+		f = createBenchmark( N );
+		bench( pkg+'::native:size='+N, opts, f );
+	}
+}
+
+main();