docs: add types and tests

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Author: DivitJain26

lib/node_modules/@stdlib/blas/base/ctrsv/docs/types/index.d.ts

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+/*
+* @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.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Layout, MatrixTriangle, TransposeOperation, DiagonalType } from '@stdlib/types/blas';
+import { Complex64Array } from '@stdlib/types/array';
+
+/**
+* Interface describing `ctrsv`.
+*/
+interface Routine {
+	/**
+	* Solves one of the systems of equations `A*x = b` or `A^T*x = b` or `A^H*x = b` where `b` and `x` are `N` element complex vectors and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix.
+	*
+	* @param order - storage layout
+	* @param uplo - specifies whether `A` is an upper or lower triangular matrix
+	* @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
+	* @param diag - specifies whether `A` has a unit diagonal
+	* @param N - number of elements along each dimension in the matrix `A`
+	* @param A - input matrix
+	* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+	* @param x - input vector
+	* @param strideX - `x` stride length
+	* @returns `x`
+	*
+	* @example
+	* var Complex64Array = require( '@stdlib/array/complex64' );
+	*
+	* var A = new Complex64Array( [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 4.0, 4.0, 0.0, 0.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] );
+	* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
+	*
+	* ctrsv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, A, 3, x, 1 );
+	* // x => <Complex64Array>[ 1.0, 0.0, 0.0, 0.0, 0.0, 0.0 ]
+	*/
+	( order: Layout, uplo: MatrixTriangle, trans: TransposeOperation, diag: DiagonalType, N: number, A: Complex64Array, LDA: number, x: Complex64Array, strideX: number ): Complex64Array;
+
+	/**
+	* Solves one of the systems of equations `A*x = b` or `A^T*x = b` or `A^H*x = b` using alternative indexing semantics and where `b` and `x` are `N` element complex vectors and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix.
+	*
+	* @param uplo - specifies whether `A` is an upper or lower triangular matrix
+	* @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
+	* @param diag - specifies whether `A` has a unit diagonal
+	* @param N - number of elements along each dimension in the matrix `A`
+	* @param A - input matrix
+	* @param strideA1 - stride of the first dimension of `A`
+	* @param strideA2 - stride of the first dimension of `A`
+	* @param offsetA - starting index for `A`
+	* @param x - input vector
+	* @param strideX - `x` stride length
+	* @param offsetX - starting index for `x`
+	* @returns `x`
+	*
+	* @example
+	* var Complex64Array = require( '@stdlib/array/complex64' );
+	*
+	* var A = new Complex64Array( [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 4.0, 4.0, 0.0, 0.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] );
+	* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
+	*
+	* ctrsv.ndarray( 'lower', 'no-transpose', 'non-unit', 3, A, 3, 1, 0, x, 1, 0 );
+	* // x => <Complex64Array>[ 1.0, 0.0, 0.0, 0.0, 0.0, 0.0 ]
+	*/
+	ndarray( uplo: MatrixTriangle, trans: TransposeOperation, diag: DiagonalType, N: number, A: Complex64Array, strideA1: number, strideA2: number, offsetA: number, x: Complex64Array, strideX: number, offsetX: number ): Complex64Array;
+}
+
+/**
+* Solves one of the systems of equations `A*x = b` or `A^T*x = b` or `A^H*x = b` where `b` and `x` are `N` element complex vectors and `A` is an `N` by `N` unit, or non-unit, upper or lower triangular complex matrix.
+*
+* @param order - storage layout
+* @param uplo - specifies whether `A` is an upper or lower triangular matrix
+* @param trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
+* @param diag - specifies whether `A` has a unit diagonal
+* @param N - number of elements along each dimension in the matrix `A`
+* @param A - input matrix
+* @param LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
+* @param x - input vector
+* @param strideX - `x` stride length
+* @returns `x`
+*
+* @example
+* var Complex64Array = require( '@stdlib/array/complex64' );
+*
+* var A = new Complex64Array( [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 4.0, 4.0, 0.0, 0.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] );
+* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
+*
+* ctrsv( 'row-major', 'lower', 'no-transpose', 'non-unit', 3, A, 3, x, 1 );
+* // x => <Complex64Array>[ 1.0, 0.0, 0.0, 0.0, 0.0, 0.0 ]
+*
+* @example
+* var Complex64Array = require( '@stdlib/array/complex64' );
+*
+* var A = new Complex64Array( [ 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 4.0, 4.0, 0.0, 0.0, 3.0, 3.0, 5.0, 5.0, 6.0, 6.0 ] );
+* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
+*
+* ctrsv.ndarray( 'lower', 'no-transpose', 'non-unit', 3, A, 3, 1, 0, x, 1, 0 );
+* // x => <Complex64Array>[ 1.0, 0.0, 0.0, 0.0, 0.0, 0.0 ]
+*/
+declare var ctrsv: Routine;
+
+
+// EXPORTS //
+
+export = ctrsv;