/* * @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 { Collection } from '@stdlib/types/array'; import { typedndarray } from '@stdlib/types/ndarray'; /** * Returns a view of the diagonal of a matrix (or stack of matrices). * * ## Notes * * - The order of the dimension indices contained in `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 `k` is interpreted as `column - row`. Accordingly, when `k = 0`, the function returns the main diagonal; when `k > 0`, the function returns the diagonal above the main diagonal; and when `k < 0`, the function returns the diagonal below the main diagonal. * - The returned ndarray is a **view** of the input ndarray. Accordingly, writing to the original ndarray will **mutate** the returned ndarray and vice versa. * - The `writable` parameter **only** applies to ndarray constructors supporting **read-only** instances. * * @param x - input array * @param dims - dimension indices defining the plane from which to extract the diagonal * @param k - diagonal offset * @param writable - boolean indicating whether the returned ndarray should be writable * @returns ndarray view * * @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, [ 0, 1 ], 0, false ); * // returns [ 1.0, 5.0, 9.0 ] */ declare function diagonal = typedndarray>( x: U, dims: Collection, k: number, writable: boolean ): U; // EXPORTS // export = diagonal;