feat: add c implementation for blas/base/strsv

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

@@ -184,24 +184,75 @@ console.log( x );
 
 <section class="usage">
 
+<!-- C usage documentation. -->
+
+<section class="usage">
+
 ### Usage
 
 ```c
-TODO
+#include "stdlib/blas/base/strsv.h"
+```
+
+#### c_strsv( order, uplo, trans, diag, N, \*A, LDA, \*X, strideX )
+
+Solves one of the systems of equations `A*x = b` or `A^T*x = b` where `b` and `x` are `N` element vectors and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular matrix.
+
+```c
+#include "stdlib/blas/base/shared.h"
+
+float A[] = { 1.0f, 2.0f, 3.0f, 0.0f, 1.0f, 2.0f, 0.0f, 0.0f, 1.0f };
+const float x[] = { 1.0f, 2.0f, 3.0f };
+
+c_strsv( CblasRowMajor, CblasUpper, CblasNoTrans, CblasUnit, 3, A, 3, x, 1 );
+```
+
+The function accepts the following arguments:
+
+-   **order**: `[in] CBLAS_LAYOUT` storage layout.
+-   **uplo**: `[in] CBLAS_UPLO` specifies whether `A` is an upper or lower triangular matrix.
+-   **trans**: `[in] CBLAS_TRANSPOSE` specifies whether `A` should be transposed, conjugate-transposed, or not transposed.
+-   **diag**: `[in] CBLAS_DIAG` specifies whether `A` has a unit diagonal.
+-   **N**: `[in] CBLAS_INT` number of elements along each dimension of `A`.
+-   **A**: `[inout] float*` input matrix.
+-   **LDA**: `[in] CBLAS_INT` stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
+-   **X**: `[in] float*` input vector.
+-   **strideX**: `[in] CBLAS_INT` index increment for `X`.
+
+```c
+void c_strsv( const CBLAS_LAYOUT order, const CBLAS_UPLO uplo, const CBLAS_TRANSPOSE trans, const CBLAS_DIAG diag, const CBLAS_INT N, const float *A, const CBLAS_INT LDA, float *x, const CBLAS_INT strideX )
 ```
 
-#### TODO
+<!-- lint disable maximum-heading-length -->
+#### c_strsv_ndarray( uplo, trans, diag, N, \*A, strideA1, strideA2, offsetA, \*X, strideX, offsetA )
 
-TODO.
+Performs one of the matrix-vector operations `x = A*x` or `x = A^T*x` using alternative indexing semantics, where `x` is an `N` element vector and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular matrix.
 
 ```c
-TODO
+#include "stdlib/blas/base/shared.h"
+
+float A[] = { 1.0f, 2.0f, 3.0f, 0.0f, 1.0f, 2.0f, 0.0f, 0.0f, 1.0f };
+const float x[] = { 1.0f, 2.0f, 3.0f };
+
+c_strsv_ndarray( CblasUpper, CblasNoTrans, CblasUnit, 3, A, 3, 1, 0, x, 1, 0 );
 ```
 
-TODO
+The function accepts the following arguments:
+
+-   **uplo**: `[in] CBLAS_UPLO` specifies whether `A` is an upper or lower triangular matrix.
+-   **trans**: `[in] CBLAS_TRANSPOSE` specifies whether `A` should be transposed, conjugate-transposed, or not transposed.
+-   **diag**: `[in] CBLAS_DIAG` specifies whether `A` has a unit diagonal.
+-   **N**: `[in] CBLAS_INT` number of elements along each dimension of `A`.
+-   **A**: `[inout] float*` input matrix.
+-   **strideA1**: `[in] CBLAS_INT` stride of the first dimension of `A`.
+-   **strideA2**: `[in] CBLAS_INT` stride of the second dimension of `A`.
+-   **offsetA**: `[in] CBLAS_INT` starting index for `A`.
+-   **X**: `[in] float*` input vector.
+-   **strideX**: `[in] CBLAS_INT` index increment for `X`.
+-   **offsetX**: `[in] CBLAS_INT` starting index for `X`.
 
 ```c
-TODO
+void c_strsv_ndarray( const CBLAS_UPLO uplo, const CBLAS_TRANSPOSE trans, const CBLAS_DIAG diag, const CBLAS_INT N, const float *A, const CBLAS_INT strideA1, const CBLAS_INT strideA2, const CBLAS_INT offsetA, float *x, const CBLAS_INT strideX, const CBLAS_INT offsetX )
 ```
 
 </section>
@@ -223,7 +274,34 @@ TODO
 ### Examples
 
 ```c
-TODO
+#include "stdlib/blas/base/strsv.h"
+#include "stdlib/blas/base/shared.h"
+#include <stdio.h>
+
+int main( void ) {
+    // Create a strided array:
+    const float A[] = { 1.0f, 0.0f, 0.0f, 2.0f, 1.0f, 0.0f, 3.0f, 2.0f, 1.0f };
+    float X[] = { 1.0f, 2.0f, 3.0f };
+
+    // Specify the number of elements along each dimension of `A`:
+    const int N = 3;
+
+    // Perform the matrix-vector operations `A*X = b` for `lower` triangular matrix `A`:
+    c_strsv( CblasRowMajor, CblasLower, CblasNoTrans, CblasNonUnit, N, A, N, X, 1 );
+
+    // Print the result:
+    for ( int i = 0; i < N; i++ ) {
+        printf( "X[ %i ] = %f\n", i, X[ i ] );
+    }
+
+    // Perform the matrix-vector operations `A*X = b` for `lower` triangular matrix `A`:
+    c_strsv_ndarray( CblasLower, CblasNoTrans, CblasNonUnit, N, A, N, 1, 0, X, 1, 0 );
+
+    // Print the result:
+    for ( int i = 0; i < N; i++ ) {
+        printf( "X[ %i ] = %f\n", i, X[ i ] );
+    }
+}
 ```
 
 </section>

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

@@ -0,0 +1,110 @@
+/**
+* @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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var zeros = require( '@stdlib/array/zeros' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var strsv = tryRequire( resolve( __dirname, './../lib/strsv.native.js' ) );
+var opts = {
+	'skip': ( strsv instanceof Error )
+};
+var options = {
+	'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - number of elements along each dimension
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var A = discreteUniform( N*N, -10.0, 10.0, options );
+	var x = zeros( N, options.dtype );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var z;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = strsv( 'row-major', 'upper', 'transpose', 'non-unit', N, A, N, x, 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( pkg+':size='+(N*N), opts, f );
+	}
+}
+
+main();

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

@@ -0,0 +1,110 @@
+/**
+* @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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var zeros = require( '@stdlib/array/zeros' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var strsv = tryRequire( resolve( __dirname, './../lib/ndarray.native.js' ) );
+var opts = {
+	'skip': ( strsv instanceof Error )
+};
+var options = {
+	'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} N - number of elements along each dimension
+* @returns {Function} benchmark function
+*/
+function createBenchmark( N ) {
+	var A = discreteUniform( N*N, -10.0, 10.0, options );
+	var x = zeros( N, options.dtype );
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var z;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			z = strsv( 'upper', 'transpose', 'non-unit', N, A, N, 1, 0, x, 1, 0 );
+			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( pkg+':ndarray:size='+(N*N), opts, f );
+	}
+}
+
+main();