feat: add C ndarray implementation for blas/base/caxpy

PR-URL: #3456
Ref: #2039
Co-authored-by: Athan Reines <kgryte@gmail.com>
Reviewed-by: Athan Reines <kgryte@gmail.com> 
Signed-off-by: Athan Reines <kgryte@gmail.com>

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

@@ -229,6 +229,152 @@ logEach( '(%s)*(%s) + (%s) = %s', ca, cx, cyc, cy );
 
 <!-- /.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, ca, \*CX, strideX, \*CY, strideY )
+
+Scales values from `cx` by `ca` and adds the result to `cy`.
+
+```c
+#include "stdlib/complex/float32/ctor.h"
+
+float cx[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
+float cy[] = { -1.0f, -2.0f, -3.0f, -4.0f, -5.0f, -6.0f, -7.0f, -8.0f };
+const stdlib_complex64_t ca = stdlib_complex64( 2.0f, 2.0f );
+
+c_caxpy( 4, ca, (void *)cx, 1, (void *)cy, 1 );
+```
+
+The function accepts the following arguments:
+
+-   **N**: `[in] CBLAS_INT` number of indexed elements.
+-   **ca**: `[in] stdlib_complex64_t` scalar constant.
+-   **CX**: `[in] void*` input array.
+-   **strideX**: `[in] CBLAS_INT` index increment for `CX`.
+-   **CY**: `[inout] void*` output array.
+-   **strideY**: `[in] CBLAS_INT` index increment for `CY`.
+
+```c
+void c_caxpy( const CBLAS_INT N, const stdlib_complex64_t ca, const void *CX, const CBLAS_INT strideX, void *CY, const CBLAS_INT strideY );
+```
+
+#### c_caxpy_ndarray( N, ca, \*CX, strideX, offsetX, \*CY, strideY, offsetY )
+
+Scales values from `cx` by `ca` and adds the result to `cy` using alternative indexing semantics.
+
+```c
+#include "stdlib/complex/float32/ctor.h"
+
+float cx[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
+float cy[] = { -1.0f, -2.0f, -3.0f, -4.0f, -5.0f, -6.0f, -7.0f, -8.0f }
+const stdlib_complex64_t ca = stdlib_complex64( 2.0f, 2.0f );
+
+c_caxpy_ndarray( 4, ca, (void *)cx, 1, 0, (void *)cy, 1, 0 );
+```
+
+The function accepts the following arguments:
+
+-   **N**: `[in] CBLAS_INT` number of indexed elements.
+-   **ca**: `[in] stdlib_complex64_t` scalar constant.
+-   **CX**: `[in] void*` input array.
+-   **strideX**: `[in] CBLAS_INT` index increment for `CX`.
+-   **offsetX**: `[in] CBLAS_INT` starting index for `CX`.
+-   **CY**: `[inout] void*` output array.
+-   **strideY**: `[in] CBLAS_INT` index increment for `CY`.
+-   **offsetY**: `[in] CBLAS_INT` starting index for `CY`.
+
+```c
+void c_caxpy_ndarray( const CBLAS_INT N, const stdlib_complex64_t ca, const void *CX, const CBLAS_INT strideX, const CBLAS_INT offsetX, void *CY, 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 of interleaved real and imaginary components...
+    float cx[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
+    float cy[] = { -1.0f, -2.0f, -3.0f, -4.0f, -5.0f, -6.0f, -7.0f, -8.0f };
+
+    // Create a complex scalar:
+    const stdlib_complex64_t ca = stdlib_complex64( 2.0f, 2.0f );
+
+    // Specify the number of elements:
+    const int N = 4;
+
+    // Specify strides...
+    const int strideX = 1;
+    const int strideY = 1;
+
+    // Scale values from `cx` by `ca` and adds the result to `cy`:
+    c_caxpy( N, ca, (void *)cx, strideX, (void *)cy, strideY );
+
+    // Print the result:
+    for ( int i = 0; i < N; i++ ) {
+        printf( "cy[ %i ] = %f + %fj\n", i, cy[ i*2 ], cy[ (i*2)+1 ] );
+    }
+
+    // Scales values from `cx` by `ca` and adds the result to `cy` using alternative indexing semantics:
+    c_caxpy_ndarray( N, ca, (void *)cx, -strideX, 3, (void *)cy, -strideY, 3 );
+
+    // Print the result:
+    for ( int i = 0; i < N; i++ ) {
+        printf( "cy[ %i ] = %f + %fj\n", i, cy[ i*2 ], cy[ (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">

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

@@ -0,0 +1,120 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var Complex64Array = require( '@stdlib/array/complex64' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var reinterpret = require( '@stdlib/strided/base/reinterpret-complex64' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var caxpy = tryRequire( resolve( __dirname, './../lib/caxpy.native.js' ) );
+var opts = {
+	'skip': ( caxpy instanceof Error )
+};
+var options = {
+	'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+	var viewY;
+	var ca;
+	var cx;
+	var cy;
+
+	cx = new Complex64Array( uniform( len*2, -100.0, 100.0, options ) );
+	cy = new Complex64Array( uniform( len*2, -100.0, 100.0, options ) );
+
+	viewY = reinterpret( cy, 0 );
+
+	ca = new Complex64( 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++ ) {
+			caxpy( cx.length, ca, cx, 1, cy, 1 );
+			if ( isnanf( viewY[ i%(len*2) ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnanf( viewY[ i%(len*2) ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var len;
+	var min;
+	var max;
+	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+'::native:len='+len, opts, f );
+	}
+}
+
+main();

lib/node_modules/@stdlib/blas/base/caxpy/benchmark/benchmark.ndarray.native.js

@@ -0,0 +1,120 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var Complex64Array = require( '@stdlib/array/complex64' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var reinterpret = require( '@stdlib/strided/base/reinterpret-complex64' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var caxpy = tryRequire( resolve( __dirname, './../lib/ndarray.native.js' ) );
+var opts = {
+	'skip': ( caxpy instanceof Error )
+};
+var options = {
+	'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+	var viewY;
+	var ca;
+	var cx;
+	var cy;
+
+	cx = new Complex64Array( uniform( len*2, -100.0, 100.0, options ) );
+	cy = new Complex64Array( uniform( len*2, -100.0, 100.0, options ) );
+
+	viewY = reinterpret( cy, 0 );
+
+	ca = new Complex64( 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++ ) {
+			caxpy( cx.length, ca, cx, 1, 0, cy, 1, 0 );
+			if ( isnanf( viewY[ i%(len*2) ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnanf( viewY[ i%(len*2) ] ) ) {
+			b.fail( 'should not return NaN' );
+		}
+		b.pass( 'benchmark finished' );
+		b.end();
+	}
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+	var len;
+	var min;
+	var max;
+	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+'::native:ndarray:len='+len, opts, f );
+	}
+}
+
+main();