import type { array, matrix } from "../types";
/**
 * Less than or equal comparison X <= Y.
 *
 * Compares two inputs element-wise, returning true where elements in X are less than or equal to corresponding elements in Y.
 *
 * @param x First operand for comparison
 * @param y Second operand for comparison
 * @returns The result of the comparison
 * @throws If the input dimensions do not agree or if no arguments are provided
 *
 * @example Comparison between two numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, 5), true);
 *
 * ```
 *
 * @example Comparison between a number and an array
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [5, 6, 3]), [true, true, false]);
 *
 * ```
 *
 * @example Comparison between a number and a matrix
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [[5, 6], [3, 5]]), [[true, true], [false, true]]);
 *
 * ```
 *
 * @example Comparison between an array and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], 5), [true, false, true]);
 *
 * ```
 *
 * @example Comparison between a matrix and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [3, 5]], 5), [[true, false], [true, true]]);
 *
 * ```
 *
 * @example Comparison between two arrays
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], [2, 6, 0]), [false, true, false]);
 *
 * ```
 *
 * @example Comparison between two matrices
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [-1, 2]], [[5, 6], [3, 5]]), [[true, true], [true, true]]);
 * ```
 */
export default function le(x: number, y: number): boolean;
/**
 * Less than or equal comparison X <= Y.
 *
 * Compares two inputs element-wise, returning true where elements in X are less than or equal to corresponding elements in Y.
 *
 * @param x First operand for comparison
 * @param y Second operand for comparison
 * @returns The result of the comparison
 * @throws If the input dimensions do not agree or if no arguments are provided
 *
 * @example Comparison between two numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, 5), true);
 *
 * ```
 *
 * @example Comparison between a number and an array
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [5, 6, 3]), [true, true, false]);
 *
 * ```
 *
 * @example Comparison between a number and a matrix
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [[5, 6], [3, 5]]), [[true, true], [false, true]]);
 *
 * ```
 *
 * @example Comparison between an array and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], 5), [true, false, true]);
 *
 * ```
 *
 * @example Comparison between a matrix and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [3, 5]], 5), [[true, false], [true, true]]);
 *
 * ```
 *
 * @example Comparison between two arrays
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], [2, 6, 0]), [false, true, false]);
 *
 * ```
 *
 * @example Comparison between two matrices
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [-1, 2]], [[5, 6], [3, 5]]), [[true, true], [true, true]]);
 * ```
 */
export default function le(x: number, y: array): array<boolean>;
/**
 * Less than or equal comparison X <= Y.
 *
 * Compares two inputs element-wise, returning true where elements in X are less than or equal to corresponding elements in Y.
 *
 * @param x First operand for comparison
 * @param y Second operand for comparison
 * @returns The result of the comparison
 * @throws If the input dimensions do not agree or if no arguments are provided
 *
 * @example Comparison between two numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, 5), true);
 *
 * ```
 *
 * @example Comparison between a number and an array
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [5, 6, 3]), [true, true, false]);
 *
 * ```
 *
 * @example Comparison between a number and a matrix
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [[5, 6], [3, 5]]), [[true, true], [false, true]]);
 *
 * ```
 *
 * @example Comparison between an array and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], 5), [true, false, true]);
 *
 * ```
 *
 * @example Comparison between a matrix and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [3, 5]], 5), [[true, false], [true, true]]);
 *
 * ```
 *
 * @example Comparison between two arrays
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], [2, 6, 0]), [false, true, false]);
 *
 * ```
 *
 * @example Comparison between two matrices
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [-1, 2]], [[5, 6], [3, 5]]), [[true, true], [true, true]]);
 * ```
 */
export default function le(x: array, y: number): array<boolean>;
/**
 * Less than or equal comparison X <= Y.
 *
 * Compares two inputs element-wise, returning true where elements in X are less than or equal to corresponding elements in Y.
 *
 * @param x First operand for comparison
 * @param y Second operand for comparison
 * @returns The result of the comparison
 * @throws If the input dimensions do not agree or if no arguments are provided
 *
 * @example Comparison between two numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, 5), true);
 *
 * ```
 *
 * @example Comparison between a number and an array
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [5, 6, 3]), [true, true, false]);
 *
 * ```
 *
 * @example Comparison between a number and a matrix
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [[5, 6], [3, 5]]), [[true, true], [false, true]]);
 *
 * ```
 *
 * @example Comparison between an array and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], 5), [true, false, true]);
 *
 * ```
 *
 * @example Comparison between a matrix and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [3, 5]], 5), [[true, false], [true, true]]);
 *
 * ```
 *
 * @example Comparison between two arrays
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], [2, 6, 0]), [false, true, false]);
 *
 * ```
 *
 * @example Comparison between two matrices
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [-1, 2]], [[5, 6], [3, 5]]), [[true, true], [true, true]]);
 * ```
 */
export default function le(x: array, y: array): array<boolean>;
/**
 * Less than or equal comparison X <= Y.
 *
 * Compares two inputs element-wise, returning true where elements in X are less than or equal to corresponding elements in Y.
 *
 * @param x First operand for comparison
 * @param y Second operand for comparison
 * @returns The result of the comparison
 * @throws If the input dimensions do not agree or if no arguments are provided
 *
 * @example Comparison between two numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, 5), true);
 *
 * ```
 *
 * @example Comparison between a number and an array
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [5, 6, 3]), [true, true, false]);
 *
 * ```
 *
 * @example Comparison between a number and a matrix
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [[5, 6], [3, 5]]), [[true, true], [false, true]]);
 *
 * ```
 *
 * @example Comparison between an array and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], 5), [true, false, true]);
 *
 * ```
 *
 * @example Comparison between a matrix and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [3, 5]], 5), [[true, false], [true, true]]);
 *
 * ```
 *
 * @example Comparison between two arrays
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], [2, 6, 0]), [false, true, false]);
 *
 * ```
 *
 * @example Comparison between two matrices
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [-1, 2]], [[5, 6], [3, 5]]), [[true, true], [true, true]]);
 * ```
 */
export default function le(x: number, y: matrix): matrix<boolean>;
/**
 * Less than or equal comparison X <= Y.
 *
 * Compares two inputs element-wise, returning true where elements in X are less than or equal to corresponding elements in Y.
 *
 * @param x First operand for comparison
 * @param y Second operand for comparison
 * @returns The result of the comparison
 * @throws If the input dimensions do not agree or if no arguments are provided
 *
 * @example Comparison between two numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, 5), true);
 *
 * ```
 *
 * @example Comparison between a number and an array
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [5, 6, 3]), [true, true, false]);
 *
 * ```
 *
 * @example Comparison between a number and a matrix
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [[5, 6], [3, 5]]), [[true, true], [false, true]]);
 *
 * ```
 *
 * @example Comparison between an array and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], 5), [true, false, true]);
 *
 * ```
 *
 * @example Comparison between a matrix and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [3, 5]], 5), [[true, false], [true, true]]);
 *
 * ```
 *
 * @example Comparison between two arrays
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], [2, 6, 0]), [false, true, false]);
 *
 * ```
 *
 * @example Comparison between two matrices
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [-1, 2]], [[5, 6], [3, 5]]), [[true, true], [true, true]]);
 * ```
 */
export default function le(x: matrix, y: number): matrix<boolean>;
/**
 * Less than or equal comparison X <= Y.
 *
 * Compares two inputs element-wise, returning true where elements in X are less than or equal to corresponding elements in Y.
 *
 * @param x First operand for comparison
 * @param y Second operand for comparison
 * @returns The result of the comparison
 * @throws If the input dimensions do not agree or if no arguments are provided
 *
 * @example Comparison between two numbers
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, 5), true);
 *
 * ```
 *
 * @example Comparison between a number and an array
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [5, 6, 3]), [true, true, false]);
 *
 * ```
 *
 * @example Comparison between a number and a matrix
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le(5, [[5, 6], [3, 5]]), [[true, true], [false, true]]);
 *
 * ```
 *
 * @example Comparison between an array and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], 5), [true, false, true]);
 *
 * ```
 *
 * @example Comparison between a matrix and a number
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [3, 5]], 5), [[true, false], [true, true]]);
 *
 * ```
 *
 * @example Comparison between two arrays
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([5, 6, 3], [2, 6, 0]), [false, true, false]);
 *
 * ```
 *
 * @example Comparison between two matrices
 * ```ts
 * import { assertEquals } from "jsr:@std/assert";
 *
 * assertEquals(le([[5, 6], [-1, 2]], [[5, 6], [3, 5]]), [[true, true], [true, true]]);
 * ```
 */
export default function le(x: matrix, y: matrix): matrix<boolean>;
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