/* * @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 /// import { ndarray } from '@stdlib/types/ndarray'; import { Collection } from '@stdlib/types/array'; /** * Interface defining function options. */ interface Options { /** * Diagonal offset (default: 0). */ k?: number; /** * Dimension indices defining the plane from which to extract the diagonal (default: [-2, -1]). */ dims?: Collection; } /** * Returns a read-only view of the diagonal of a matrix (or stack of matrices). * * ## Notes * * - The order of the dimension indices contained in `options.dims` matters. The first element specifies the row-like dimension. The second element specifies the column-like dimension. * - Each provided dimension index must reside on the interval `[-ndims, ndims-1]`. * - The diagonal offset `options.k` is interpreted as `column - row`. Accordingly, when `options.k = 0`, the function returns the main diagonal; when `options.k > 0`, the function returns the diagonal above the main diagonal; and when `options.k < 0`, the function returns the diagonal below the main diagonal. * * @param x - input array * @param options - function options * @param options.k - diagonal offset (default: 0) * @param options.dims - dimension indices defining the plane from which to extract the diagonal (default: [-2, -1]) * @returns output array * * @example * var array = require( '@stdlib/ndarray/array' ); * * var x = array( [ [ 1.0, 2.0, 3.0 ], [ 4.0, 5.0, 6.0 ], [ 7.0, 8.0, 9.0 ] ] ); * // returns [ [ 1.0, 2.0, 3.0 ], [ 4.0, 5.0, 6.0 ], [ 7.0, 8.0, 9.0 ] ] * * var y = diagonal( x ); * // returns [ 1.0, 5.0, 9.0 ] */ declare function diagonal( x: T, options?: Options ): T; // EXPORTS // export = diagonal;