feat: add C implementation for blas/base/cgemv

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

@@ -204,12 +204,12 @@ var y = filledarrayBy( M, 'complex64', rand );
 var alpha = new Complex64( 0.5, 0.5 );
 var beta = new Complex64( 0.5, -0.5 );
 
-cgemv( 'column-major', 'no-transpose', M, N, alpha, A, 4, x, 1, beta, y, 1 );
+cgemv( 'column-major', 'no-transpose', M, N, alpha, A, M, x, 1, beta, y, 1 );
 
 // Print the results:
 logEach( '%s', x );
 
-cgemv.ndarray( 'no-transpose', M, N, alpha, A, 1, 4, 0, x, 1, 0, beta, y, 1, 0 );
+cgemv.ndarray( 'no-transpose', M, N, alpha, A, 1, M, 0, x, 1, 0, beta, y, 1, 0 );
 
 // Print the results:
 logEach( '%s', x );
@@ -242,21 +242,86 @@ logEach( '%s', x );
 ### Usage
 
 ```c
-TODO
+#include "stdlib/blas/base/cgemv.h"
 ```
 
-#### TODO
+<!-- lint disable maximum-heading-length -->
+
+#### c_cgemv( layout, trans, M, N, alpha, \*A, LDA, \*X, strideX, beta, \*Y, strideY )
 
-TODO.
+Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` or `y = α*A^H*x + β*y` where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix.
 
 ```c
-TODO
+#include "stdlib/blas/base/shared.h"
+#include "stdlib/complex/float32/ctor.h"
+
+const float A[] = { 1.0f, 1.0f, 2.0f, 2.0f, 3.0f, 3.0f, 4.0f, 4.0f, 5.0f, 5.0f, 6.0f, 6.0f, 7.0f, 7.0f, 8.0f, 8.0f };
+const float x[] = { 1.0f, 1.0f, 2.0f, 2.0f };
+float y[] = { 1.0f, 1.0f, 2.0f, 2.0f, 3.0f, 3.0f, 4.0f, 4.0f };
+const stdlib_complex64_t alpha = stdlib_complex64( 0.5f, 0.5f );
+const stdlib_complex64_t beta = stdlib_complex64( 0.5f, -0.5f );
+
+c_cgemv( CblasColMajor, CblasNoTrans, 4, 2, alpha, (void *)A, 4, (void *)x, 1, beta, (void *)y, 1 );
 ```
 
-TODO
+The function accepts the following arguments:
+
+-   **layout**: `[in] CBLAS_LAYOUT` storage layout.
+-   **trans**: `[in] CBLAS_TRANSPOSE` specifies whether `A` should be transposed, conjugate-transposed, or not transposed.
+-   **M**: `[in] CBLAS_INT` number of rows in the matrix `A`.
+-   **N**: `[in] CBLAS_INT` number of columns in the matrix `A`.
+-   **alpha**: `[in] stdlib_complex64_t` scalar constant.
+-   **A**: `[in] void*` input matrix.
+-   **LDA**: `[in] CBLAS_INT` stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
+-   **X**: `[in] void*` first input vector.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **beta**: `[in] stdlib_complex64_t` scalar constant.
+-   **Y**: `[inout] void*` second input vector.
+-   **strideY**: `[in] CBLAS_INT` stride length for `Y`.
 
 ```c
-TODO
+void c_cgemv( const CBLAS_LAYOUT layout, const CBLAS_TRANSPOSE trans, const CBLAS_INT M, const CBLAS_INT N, const stdlib_complex64_t alpha, const void *A, const CBLAS_INT LDA, const void *X, const CBLAS_INT strideX, const stdlib_complex64_t beta, void *Y, const CBLAS_INT strideY )
+```
+
+<!-- lint disable maximum-heading-length -->
+
+#### c_cgemv_ndarray( trans, M, N, alpha, \*A, sa1, sa2, oa, \*X, sx, ox, beta, \*Y, sy, oy )
+
+Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` or `y = α*A^H*x + β*y`, using indexing alternative semantics and where `α` and `β` are scalars, `x` and `y` are vectors, and `A` is an `M` by `N` matrix.
+
+```c
+#include "stdlib/blas/base/shared.h"
+#include "stdlib/complex/float32/ctor.h"
+
+const float A[] = { 1.0f, 1.0f, 2.0f, 2.0f, 3.0f, 3.0f, 4.0f, 4.0f, 5.0f, 5.0f, 6.0f, 6.0f, 7.0f, 7.0f, 8.0f, 8.0f };
+const float x[] = { 1.0f, 1.0f, 2.0f, 2.0f };
+float y[] = { 1.0f, 1.0f, 2.0f, 2.0f, 3.0f, 3.0f, 4.0f, 4.0f };
+const stdlib_complex64_t alpha = stdlib_complex64( 0.5f, 0.5f );
+const stdlib_complex64_t beta = stdlib_complex64( 0.5f, -0.5f );
+
+c_cgemv( CblasNoTrans, 4, 2, alpha, (void *)A, 1, 4, (void *)x, 1, 0, beta, (void *)y, 1, 0 );
+```
+
+The function accepts the following arguments:
+
+-   **trans**: `[in] CBLAS_TRANSPOSE` specifies whether `A` should be transposed, conjugate-transposed, or not transposed.
+-   **M**: `[in] CBLAS_INT` number of rows in the matrix `A`.
+-   **N**: `[in] CBLAS_INT` number of columns in the matrix `A`.
+-   **alpha**: `[in] stdlib_complex64_t` scalar constant.
+-   **A**: `[in] void*` 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`.
+-   **X**: `[in] void*` first input vector.
+-   **sx**: `[in] CBLAS_INT` stride length for `X`.
+-   **ox**: `[in] CBLAS_INT` starting index for `X`.
+-   **beta**: `[in] stdlib_complex64_t` scalar constant.
+-   **Y**: `[inout] void*` second input vector.
+-   **sy**: `[in] CBLAS_INT` stride length for `Y`.
+-   **oy**: `[in] CBLAS_INT` starting index for `Y`.
+
+```c
+void c_cgemv_ndarray( const CBLAS_TRANSPOSE trans, const CBLAS_INT M, const CBLAS_INT N, const stdlib_complex64_t alpha, const void *A, const CBLAS_INT strideA1, const CBLAS_INT strideA2, const CBLAS_INT offsetA, const void *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const stdlib_complex64_t beta, void *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY )
 ```
 
 </section>
@@ -278,7 +343,47 @@ TODO
 ### Examples
 
 ```c
-TODO
+#include "stdlib/blas/base/cgemv.h"
+#include "stdlib/blas/base/shared.h"
+#include "stdlib/complex/float32/ctor.h"
+#include <stdio.h>
+
+int main( void ) {
+    // Define a 3x3 matrix stored in row-major order:
+    const float A[ 3*3*2 ] = {
+        1.0f, 1.0f, 2.0f, 2.0f, 3.0f, 3.0f,
+        4.0f, 4.0f, 5.0f, 5.0f, 6.0f, 6.0f,
+        7.0f, 7.0f, 8.0f, 8.0f, 9.0f, 9.0f
+    };
+
+    // Define `x` and `y` vectors:
+    const float x[ 3*2 ] = { 1.0f, 1.0f, 2.0f, 2.0f, 3.0f, 3.0f };
+    float y[ 3*2 ] = { 3.0f, 3.0f, 2.0f, 2.0f, 1.0f, 1.0f };
+
+    // Create complex scalars:
+    const stdlib_complex64_t alpha = stdlib_complex64( 0.5f, 0.5f );
+    const stdlib_complex64_t beta = stdlib_complex64( 0.5f, -0.5f );
+
+    // Specify the number of elements along each dimension of `A`:
+    const int M = 3;
+    const int N = 3;
+
+    // Perform the matrix-vector operation `y = α*A*x + β*y`:
+    c_cgemv( CblasRowMajor, CblasNoTrans, M, N, alpha, (void *)A, M, (void *)x, 1, beta, (void *)y, 1 );
+
+    // Print the result:
+    for ( int i = 0; i < N; i++ ) {
+        printf( "y[ %i ] = %f + %fj\n", i, y[ i*2 ], y[ (i*2)+1 ] );
+    }
+
+    // Perform the matrix-vector operation `y = α*A*x + β*y` using alternative indexing semantics:
+    c_cgemv_ndarray( CblasNoTrans, M, N, alpha, (void *)A, N, 1, 0, (void *)x, 1, 0, beta, (void *)y, 1, 0 );
+
+    // Print the result:
+    for ( int i = 0; i < N; i++ ) {
+        printf( "y[ %i ] = %f + %fj\n", i, y[ i*2 ], y[ (i*2)+1 ] );
+    }
+}
 ```
 
 </section>

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

@@ -0,0 +1,129 @@
+/**
+* @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.
+*/
+
+'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 floor = require( '@stdlib/math/base/special/floor' );
+var Complex64Array = require( '@stdlib/array/complex64' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var format = require( '@stdlib/string/format' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var cgemv = tryRequire( resolve( __dirname, './../lib/cgemv.native.js' ) );
+var opts = {
+	'skip': ( cgemv instanceof Error )
+};
+var options = {
+	'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - array dimension size
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var alpha;
+	var beta;
+	var xbuf;
+	var ybuf;
+	var Abuf;
+	var x;
+	var y;
+	var A;
+
+	xbuf = uniform( N*2, -100.0, 100.0, options );
+	x = new Complex64Array( xbuf.buffer );
+	ybuf = uniform( N*2, -100.0, 100.0, options );
+	y = new Complex64Array( ybuf.buffer );
+	Abuf = uniform( (N*N)*2, -100.0, 100.0, options );
+	A = new Complex64Array( Abuf.buffer );
+
+	alpha = new Complex64( 0.5, 0.5 );
+	beta = new Complex64( 0.5, -0.5 );
+
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var i;
+		var z;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = cgemv( 'row-major', 'no-transpose', N, N, alpha, A, N, x, 1, beta, y, 1 );
+			if ( isnanf( z[ i%z.length ] ) ) {
+				b.fail( 'should not return NaN' );
+			}
+		}
+		b.toc();
+		if ( isnanf( z[ i%z.length ] ) ) {
+			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 = floor( pow( pow( 10, i ), 1.0/2.0 ) );
+		f = createBenchmark( N );
+		bench( format( '%s::native:size=%d', pkg, N*N ), opts, f );
+	}
+}
+
+main();