import type { array, matrix } from "../types";
/**
 * Computes the square root of a number, array, or matrix.
 *
 * Computes the square root of each element in a number, array, or matrix. Returns NaN for negative values.
 *
 * @param x The input value(s)
 * @returns The square root of the input value(s)
 * @throws If no arguments are provided
 *
 * @example Square root of a single number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt(6), 2.449489742783178);
 *
 * ```
 *
 * @example Square root of an array of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([5, 6, 3]), [2.23606797749979, 2.449489742783178, 1.7320508075688772]);
 *
 * ```
 *
 * @example Square root of a matrix of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([[5, 6, 5], [7, 8, 2]]), [[2.23606797749979, 2.449489742783178, 2.23606797749979], [2.6457513110645907, 2.8284271247461903, 1.4142135623730951]]);
 *
 * ```
 */
export default function sqrt(x: number): number;
/**
 * Computes the square root of a number, array, or matrix.
 *
 * Computes the square root of each element in a number, array, or matrix. Returns NaN for negative values.
 *
 * @param x The input value(s)
 * @returns The square root of the input value(s)
 * @throws If no arguments are provided
 *
 * @example Square root of a single number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt(6), 2.449489742783178);
 *
 * ```
 *
 * @example Square root of an array of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([5, 6, 3]), [2.23606797749979, 2.449489742783178, 1.7320508075688772]);
 *
 * ```
 *
 * @example Square root of a matrix of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([[5, 6, 5], [7, 8, 2]]), [[2.23606797749979, 2.449489742783178, 2.23606797749979], [2.6457513110645907, 2.8284271247461903, 1.4142135623730951]]);
 *
 * ```
 */
export default function sqrt(x: array): array;
/**
 * Computes the square root of a number, array, or matrix.
 *
 * Computes the square root of each element in a number, array, or matrix. Returns NaN for negative values.
 *
 * @param x The input value(s)
 * @returns The square root of the input value(s)
 * @throws If no arguments are provided
 *
 * @example Square root of a single number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt(6), 2.449489742783178);
 *
 * ```
 *
 * @example Square root of an array of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([5, 6, 3]), [2.23606797749979, 2.449489742783178, 1.7320508075688772]);
 *
 * ```
 *
 * @example Square root of a matrix of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([[5, 6, 5], [7, 8, 2]]), [[2.23606797749979, 2.449489742783178, 2.23606797749979], [2.6457513110645907, 2.8284271247461903, 1.4142135623730951]]);
 *
 * ```
 */
export default function sqrt(x: matrix): matrix;
/**
 * Computes the square root of a number, array, or matrix.
 *
 * Computes the square root of each element in a number, array, or matrix. Returns NaN for negative values.
 *
 * @param x The input value(s)
 * @returns The square root of the input value(s)
 * @throws If no arguments are provided
 *
 * @example Square root of a single number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt(6), 2.449489742783178);
 *
 * ```
 *
 * @example Square root of an array of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([5, 6, 3]), [2.23606797749979, 2.449489742783178, 1.7320508075688772]);
 *
 * ```
 *
 * @example Square root of a matrix of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([[5, 6, 5], [7, 8, 2]]), [[2.23606797749979, 2.449489742783178, 2.23606797749979], [2.6457513110645907, 2.8284271247461903, 1.4142135623730951]]);
 *
 * ```
 */
export default function sqrt(x: number | array): number | array;
/**
 * Computes the square root of a number, array, or matrix.
 *
 * Computes the square root of each element in a number, array, or matrix. Returns NaN for negative values.
 *
 * @param x The input value(s)
 * @returns The square root of the input value(s)
 * @throws If no arguments are provided
 *
 * @example Square root of a single number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt(6), 2.449489742783178);
 *
 * ```
 *
 * @example Square root of an array of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([5, 6, 3]), [2.23606797749979, 2.449489742783178, 1.7320508075688772]);
 *
 * ```
 *
 * @example Square root of a matrix of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([[5, 6, 5], [7, 8, 2]]), [[2.23606797749979, 2.449489742783178, 2.23606797749979], [2.6457513110645907, 2.8284271247461903, 1.4142135623730951]]);
 *
 * ```
 */
export default function sqrt(x: number | matrix): number | matrix;
/**
 * Computes the square root of a number, array, or matrix.
 *
 * Computes the square root of each element in a number, array, or matrix. Returns NaN for negative values.
 *
 * @param x The input value(s)
 * @returns The square root of the input value(s)
 * @throws If no arguments are provided
 *
 * @example Square root of a single number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt(6), 2.449489742783178);
 *
 * ```
 *
 * @example Square root of an array of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([5, 6, 3]), [2.23606797749979, 2.449489742783178, 1.7320508075688772]);
 *
 * ```
 *
 * @example Square root of a matrix of numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(sqrt([[5, 6, 5], [7, 8, 2]]), [[2.23606797749979, 2.449489742783178, 2.23606797749979], [2.6457513110645907, 2.8284271247461903, 1.4142135623730951]]);
 *
 * ```
 */
export default function sqrt(x: array | matrix): array | matrix;
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