/**
 * Utilities for arrays plus math methods
 * @packageDocumentation
 */
/**
 * Returns the number of dimensions for the provided array.
 * @param array the array.
 * @param dim the starting dimension.
 * @returns the number of dimensions.
 */
export declare function arrayDimensions(array: any, dim?: number): number;
/**
 * Takes the cosine of a number by using the sine and an additional angle.
 * @param sin   the sine of an angle.
 * @param angle the angle.
 * @returns the resulting cosine.
 */
export declare function cosFromSin(sin: number, angle: number): number;
/**
 * Converts degrees to radians.
 * @param degrees the angle in degrees
 * @returns the angle in radians.
 */
export declare function toRadians(degrees: number): number;
/**
 * Converts radians to degrees.
 * @param radians the angle in radians.
 * @returns the angle in degrees.
 */
export declare function toDegrees(radians: number): number;
/**
 * Determines whether the specified array is increasing.
 * The array is increasing if its elements a[i] increase with array index i,
 * with no equal values.
 * @param a the array.
 * @returns true, if increasing (or a.length < 2); false, otherwise.
 */
export declare function isIncreasing(a: number[]): boolean;
/**
 * Determines whether the specified array is decreasing.
 * The array is decreasing if its elements a[i] decrease with array index i,
 * with no equal values.
 * @param a the array.
 * @returns true, if decreasing (or a.length < 2); false, otherwise.
 */
export declare function isDecreasing(a: number[]): boolean;
/**
 * Determines whether the specified array is monotonic.
 * The array is monotonic if its elements[i] either increase or
 * decrease (but not both) with array index i, with no equal values.
 * @param a the array.
 * @returns true, if monotonic (or a.length < 2); false, otherwise.
 */
export declare function isMonotonic(a: number[]): boolean;
/**
 * Determines if two values are almost equal given a provided tolerance.
 * @param v1 a value.
 * @param v2 a value.
 * @param tiny the tolerance.
 * @returns true, if almost equal; false, otherwise.
 */
export declare function almostEqual(v1: number, v2: number, tiny: number): boolean;
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @returns array copy.
 */
export declare function copy(rx: number[]): number[];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @returns array copy.
 */
export declare function copy(rx: number[][]): number[][];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @returns array copy.
 */
export declare function copy(rx: number[][][]): number[][][];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @returns array copy.
 */
export declare function copy(rx: number[], n1: number): number[];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @returns array copy.
 */
export declare function copy(rx: number[][], n1: number, n2: number): number[][];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param n3 number of elements to copy in the 3rd dimension.
 * @returns array copy.
 */
export declare function copy(rx: number[][][], n1: number, n2: number, n3: number): number[][][];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param j1 offset in 1st dimension of rx.
 * @returns array copy.
 */
export declare function copy(rx: number[], n1: number, j1: number): number[];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param j1 offset in 1st dimension of rx.
 * @param j2 offset in 2nd dimension of rx.
 * @returns array copy.
 */
export declare function copy(rx: number[][], n1: number, n2: number, j1: number, j2: number): number[][];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param n3 number of elements to copy in the 3rd dimension.
 * @param j1 offset in 1st dimension of rx.
 * @param j2 offset in 2nd dimension of rx.
 * @param j3 offset in 3rd dimension of rx.
 * @returns array copy.
 */
export declare function copy(rx: number[][][], n1: number, n2: number, n3: number, j1: number, j2: number, j3: number): number[][][];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param j1 offset in 1st dimension of rx.
 * @param k1 stride in 1st dimension of rx.
 * @returns array copy.
 */
export declare function copy(rx: number[], n1: number, j1: number, k1: number): number[];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param j1 offset in 1st dimension of rx.
 * @param j2 offset in 2nd dimension of rx.
 * @param k1 stride in 1st dimension of rx.
 * @param k2 stride in 2nd dimension of rx.
 * @returns array copy.
 */
export declare function copy(rx: number[][], n1: number, n2: number, j1: number, j2: number, k1: number, k2: number): number[][];
/**
 * Returns array copy of elements from the specified array.
 * @param rx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param n3 number of elements to copy in the 3rd dimension.
 * @param j1 offset in 1st dimension of rx.
 * @param j2 offset in 2nd dimension of rx.
 * @param j3 offset in 3rd dimension of rx.
 * @param k1 stride in 1st dimension of rx.
 * @param k2 stride in 2nd dimension of rx.
 * @param k3 stride in 3rd dimension of rx.
 * @returns array copy.
 */
export declare function copy(rx: number[][][], n1: number, n2: number, n3: number, j1: number, j2: number, j3: number, k1: number, k2: number, k3: number): number[][][];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @returns array copy.
 */
export declare function ccopy(cx: number[]): number[];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @returns array copy.
 */
export declare function ccopy(cx: number[][]): number[][];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @returns array copy.
 */
export declare function ccopy(cx: number[][][]): number[][][];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @returns array copy.
 */
export declare function ccopy(cx: number[], n1: number): number[];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @returns array copy.
 */
export declare function ccopy(cx: number[][], n1: number, n2: number): number[][];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param n3 number of elements to copy in the 3rd dimension.
 * @returns array copy.
 */
export declare function ccopy(cx: number[][][], n1: number, n2: number, n3: number): number[][][];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param j1 offset in 1st dimension of cx.
 * @returns array copy.
 */
export declare function ccopy(cx: number[], n1: number, j1: number): number[];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param j1 offset in 1st dimension of cx.
 * @param j2 offset in 2nd dimension of cx.
 * @returns array copy.
 */
export declare function ccopy(cx: number[][], n1: number, n2: number, j1: number, j2: number): number[][];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param n3 number of elements to copy in the 3rd dimension.
 * @param j1 offset in 1st dimension of cx.
 * @param j2 offset in 2nd dimension of cx.
 * @param j3 offset in 3rd dimension of cx.
 * @returns array copy.
 */
export declare function ccopy(cx: number[][][], n1: number, n2: number, n3: number, j1: number, j2: number, j3: number): number[][][];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param j1 offset in 1st dimension of cx.
 * @param k1 stride in 1st dimension of cx.
 * @returns array copy.
 */
export declare function ccopy(cx: number[], n1: number, j1: number, k1: number): number[];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param j1 offset in 1st dimension of cx.
 * @param j2 offset in 2nd dimension of cx.
 * @param k1 stride in 1st dimension of cx.
 * @param k2 stride in 2nd dimension of cx.
 * @returns array copy.
 */
export declare function ccopy(cx: number[][], n1: number, n2: number, j1: number, j2: number, k1: number, k2: number): number[][];
/**
 * Returns array copy of elements from the specified array.
 * @param cx source array.
 * @param n1 number of elements to copy in the 1st dimension.
 * @param n2 number of elements to copy in the 2nd dimension.
 * @param n3 number of elements to copy in the 3rd dimension.
 * @param j1 offset in 1st dimension of cx.
 * @param j2 offset in 2nd dimension of cx.
 * @param j3 offset in 3rd dimension of cx.
 * @param k1 stride in 1st dimension of cx.
 * @param k2 stride in 2nd dimension of cx.
 * @param k3 stride in 3rd dimension of cx.
 * @returns array copy.
 */
export declare function ccopy(cx: number[][][], n1: number, n2: number, n3: number, j1: number, j2: number, j3: number, k1: number, k2: number, k3: number): number[][][];
/**
 * Returns an array of zeros.
 * @param n1 1st array dimension.
 * @returns an array[2 * n1] of zero complex numbers.
 */
export declare function czero(n1: number): number[];
/**
 * Returns an array of zeros.
 * @param n1 1st array dimension.
 * @param n2 2nd array dimension.
 * @returns an array[n2][2 * n1] of zero complex numbers.
 */
export declare function czero(n1: number, n2: number): number[][];
/**
 * Returns an array of zeros.
 * @param n1 1st array dimension.
 * @param n2 2nd array dimension.
 * @param n3 3rd array dimension.
 * @returns an array[n3][n2][2 * n1] of zero complex numbers.
 */
export declare function czero(n1: number, n2: number, n3: number): number[][][];
/**
 * Zeros the specified array.
 * @param cx the array.
 */
export declare function czero(cx: number[]): void;
/**
 * Zeros the specified array.
 * @param cx the array.
 */
export declare function czero(cx: number[][]): void;
/**
 * Zeros the specified array.
 * @param cx the array.
 */
export declare function czero(cx: number[][][]): void;
/**
 * Returns an array of zeros.
 * @param n1 1st array dimension.
 */
export declare function zero(n1: number): number[];
/**
 * Returns an array of zeros.
 * @param n1 1st array dimension.
 * @param n2 2nd array dimension.
 */
export declare function zero(n1: number, n2: number): number[][];
/**
 * Returns an array of zeros.
 * @param n1 1st array dimension.
 * @param n2 2nd array dimension.
 * @param n3 3rd array dimension.
 */
export declare function zero(n1: number, n2: number, n3: number): number[][][];
/**
 * Zeros the specified array.
 * @param rx the array.
 */
export declare function zero(rx: number[]): void;
/**
 * Zeros the specified array.
 * @param rx the array.
 */
export declare function zero(rx: number[][]): void;
/**
 * Zeros the specified array.
 * @param rx the array.
 */
export declare function zero(rx: number[][][]): void;
/**
 * Returns an array initialized to a specified value.
 * @param ra the value.
 * @param n1 1st array dimension.
 * @returns the array.
 */
export declare function fill(ra: number, n1: number): number[];
/**
 * Returns an array initialized to a specified value.
 * @param ra the value.
 * @param n1 1st array dimension.
 * @param n2 2nd array dimension.
 * @returns the array.
 */
export declare function fill(ra: number, n1: number, n2: number): number[][];
/**
 * Returns an array initialized to a specified value.
 * @param ra the value.
 * @param n1 1st array dimension.
 * @param n2 2nd array dimension.
 * @param n3 3rd array dimension.
 * @returns the array.
 */
export declare function fill(ra: number, n1: number, n2: number, n3: number): number[][][];
/**
 * Fills an array to a specified value.
 * @param rx the array.
 * @param ra the value.
 */
export declare function fill(rx: number[], ra: number): void;
/**
 * Fills an array to a specified value.
 * @param rx the array.
 * @param ra the value.
 */
export declare function fill(rx: number[][], ra: number): void;
/**
 * Fills an array to a specified value.
 * @param rx the array.
 * @pram ra the value.
 */
export declare function fill(rx: number[][][], ra: number): void;
/**
 * Returns an array initialized to a specified linear ramp.
 * @param ra value of the first element.
 * @param rb1 gradient in the 1st dimension.
 * @param n1 1st array dimension.
 */
export declare function ramp(ra: number, rb1: number, n1: number): number[];
/**
 * Returns an array initialized to a specified linear ramp.
 * @param ra value of the first element.
 * @param rb1 gradient in the 1st dimension.
 * @param rb2 gradient in the 2nd dimension.
 * @param n1 1st array dimension.
 * @param n2 2nd array dimension.
 */
export declare function ramp(ra: number, rb1: number, rb2: number, n1: number, n2: number): number[][];
/**
 * Returns an array initialized to a specified linear ramp.
 * @param ra value of the first element.
 * @param rb1 gradient in the 1st dimension.
 * @param rb2 gradient in the 2nd dimension.
 * @param rb3 gradient in the 3rd dimension.
 * @param n1 1st array dimension.
 * @param n2 2nd array dimension.
 * @param n3 3rd array dimension.
 */
export declare function ramp(ra: number, rb1: number, rb2: number, rb3: number, n1: number, n2: number, n3: number): number[][][];
/**
 * Replaces an array values with a specified linear ramp.
 * @param rx the array.
 * @param ra value of the first element.
 * @param rb1 gradient in the 1st dimension.
 */
export declare function ramp(rx: number[], ra: number, rb1: number): void;
/**
 * Replaces an array values with a specified linear ramp.
 * @param rx the array.
 * @param ra value of the first element.
 * @param rb1 gradient in the 1st dimension.
 * @param rb2 gradient in the 2nd dimension.
 */
export declare function ramp(rx: number[][], ra: number, rb1: number, rb2: number): void;
/**
 * Replaces an array values with a specified linear ramp.
 * @param rx the array.
 * @param ra value of the first element.
 * @param rb1 gradient in the 1st dimension.
 * @param rb2 gradient in the 2nd dimension.
 * @param rb3 gradient in the 3rd dimension.
 */
export declare function ramp(rx: number[][][], ra: number, rb1: number, rb2: number, rb3: number): void;
/**
 * Performs a quick partial sort.
 * @param k
 * @param arr
 */
export declare function quickPartialSort(k: number, arr: number[]): void;
/**
 * Performs a binary search in a monotonic array of values.
 * <p>
 * Values are assumed to increase or decrease monotonically, with no equal
 * values.
 * <p>
 * Warning: this method does not ensure that the specified array is
 * monotonic; that check would be more costly than this search.
 * @param a the array of values, assumed to be monotonic.
 * @param x the value for which to search.
 * @param i the index at which to begin the search. If negative, this
 *          method interprets this index as if returned from a
 *          previous call.
 * @returns the index at which the specified value is found, or, if not
 *          found, -(i + 1), where i equals the index at which the
 *          specified value would be located if it was inserted into
 *          the monotonic array.
 */
export declare function binarySearch(a: number[], x: number, i?: number): number;