import { mat2 } from './mat2';
import { mat2d } from './mat2d';
import { mat3 } from './mat3';
import { vec3 } from './vec3';
/**
 * Represents 2D vector
 * @category Types
 */
export type vec2 = readonly [x: number, y: number];
/**
 * Functions for {@link vec2}, a 2D vector.
 * @category Modules
 */
export declare namespace vec2 {
    /**
     * Mutable version of {@link vec2}
     * @category Types
     */
    type Mutable = [x: number, y: number];
    /**
     * Creates a new vector from given elements
     * @category Generators
     */
    function of(x: number, y?: number): vec2;
    /**
     * Creates a mutable clone of given vec2
     * @category Generators
     */
    function clone(a: vec2): Mutable;
    /**
     * @category Constants
     */
    const zero: vec2;
    /**
     * @category Constants
     */
    const one: vec2;
    /**
     * A unit vector pointing toward positive X. Same as `[1, 0]`
     * @category Constants
     */
    const unitX: vec2;
    /**
     * A unit vector pointing toward positive Y. Same as `[0, 1]`
     * @category Constants
     */
    const unitY: vec2;
    /**
     * Adds the given vectors
     */
    function add(...vs: (vec2 | number)[]): vec2;
    /**
     * Subtracts the given vec2's. When the argument is a single vector, it negates it. Otherwise, it subtracts from left to right.
     *
     * @shorthands
     * - {@link sub}
     */
    function subtract(...vs: (vec2 | number)[]): vec2;
    /**
     * Alias for {@link vec2.subtract}
     * @category Shorthands
     */
    const sub: typeof subtract;
    /**
     * Subtracts `a` from `b` component-wise
     */
    function delta(a: vec2 | number, b: vec2 | number): vec2;
    /**
     * Multiplies the given vec2's component-wise
     *
     * @shorthands
     * - {@link mul}
     */
    function multiply(...vs: (vec2 | number)[]): vec2;
    /**
     * Alias for {@link vec2.multiply}
     * @category Shorthands
     */
    const mul: typeof multiply;
    /**
     * Divides the given vec2's component-wise
     *
     * @shorthands
     * - {@link div}
     */
    function divide(...vs: (vec2 | number)[]): vec2;
    /**
     * Alias for {@link vec2.divide}
     * @category Shorthands
     */
    const div: typeof divide;
    /**
     * Returns the component-wise minimum of the given vec2's
     */
    function min(...vs: (vec2 | number)[]): vec2;
    /**
     * Returns the component-wise maximum of the given vec2's
     */
    function max(...vs: (vec2 | number)[]): vec2;
    /**
     * Constrain a value to lie between two further values
     * @see https://thebookofshaders.com/glossary/?search=clamp
     * @param v the value to constrain
     * @param min the lower end of the range into which to constrain `v`
     * @param max the upper end of the range into which to constrain `v`
     */
    function clamp(v: vec2, min: vec2 | number, max: vec2 | number): vec2;
    /**
     * Clamps each component to [0, 1]. Equivalent to {@link saturate}.
     */
    function clamp01(v: vec2): vec2;
    /**
     * Clamps each component to [-1, 1]
     */
    function clamp11(v: vec2): vec2;
    /**
     * Returns the absolute value of each component of a vec2
     */
    function abs(v: vec2): vec2;
    /**
     * Symmetric round the components of a vec2
     */
    function round(a: vec2): vec2;
    /**
     * Applies Math.ceil to each component of a vec2
     */
    function ceil(a: vec2): vec2;
    /**
     * Applies Math.floor to each component of a vec2
     */
    function floor(a: vec2): vec2;
    /**
     * Applies Math.sign to each component of a vec2
     */
    function sign(v: vec2): vec2;
    /**
     * Removes the fractional part
     * @see https://www.sidefx.com/docs/houdini/vex/functions/trunc.html
     */
    function trunc(v: vec2): vec2;
    /**
     * Computes the fractional part of the argument
     * @see https://registry.khronos.org/OpenGL-Refpages/gl4/html/fract.xhtml
     */
    function fract(a: vec2): vec2;
    /**
     * Computes the value of one parameter modulo another. This is computed as x - y * floor(x/y). Unlike JavaScript's `%` operator, the sign of result always matches to `b`.
     * @see https://thebookofshaders.com/glossary/?search=mod
     */
    function mod(a: vec2, b: vec2 | number): vec2;
    /**
     * Quantize a vec2 to a given step and offset. If the step is 0, the value is returned unchanged.
     * @param v The value to quantize
     * @param step The step size
     * @param offset The offset
     * @returns The quantized value
     */
    function quantize(v: vec2, step: vec2 | number, offset?: vec2 | number): vec2;
    /**
     * Scales a vec2 by a scalar number
     *
     * @param a the vector to scale
     * @param s amount to scale the vector by
     */
    function scale(a: vec2, s: number): vec2;
    /**
     * Returns the average value of the input(s)
     * @see  https://www.sidefx.com/docs/houdini/vex/functions/avg.html
     *
     * @shorthands
     * - {@link avg}
     */
    function average(...vs: vec2[]): vec2;
    /**
     * Alias for {@link vec2.average}
     * @category Shorthands
     */
    const avg: typeof average;
    /**
 Adds given vec2's after scaling the second operand by a scalar value
 */
    function scaleAndAdd(a: vec2, b: vec2, scale: number): vec2;
    /**
     * Calculates the euclidian distance between two vec2's
     *
     * @shorthands
     * - {@link dist}
     */
    function distance(a: vec2, b: vec2): number;
    /**
     * Alias for {@link vec2.distance}
     * @category Shorthands
     */
    const dist: typeof distance;
    /**
     * Calculates the squared euclidian distance between two vec2's
     *
     * @shorthands
     * - {@link sqrDist}
     */
    function squaredDistance(a: vec2, b: vec2): number;
    /**
     * Alias for {@link vec2.squaredDistance}
     * @category Shorthands
     */
    const sqrDist: typeof squaredDistance;
    /**
     * Returns the absolute difference between corresponding components of two vec2's
     *
     * @shorthands
     * - {@link diff}
     */
    function difference(a: vec2, b: vec2): vec2;
    /**
     * Alias for {@link vec2.difference}
     * @category Shorthands
     */
    const diff: typeof difference;
    /**
     * Calculates the length of a vec2
     *
     * @shorthands
     * - {@link len}
     */
    function length(v: vec2): number;
    /**
     * Alias for {@link vec2.length}
     * @category Shorthands
     */
    const len: typeof length;
    /**
     * Calculates the squared length of a vec2
     *
     * @shorthands
     * - {@link sqrLen}
     */
    function squaredLength(v: vec2): number;
    /**
     * Alias for {@link vec2.squaredLength}
     * @category Shorthands
     */
    const sqrLen: typeof squaredLength;
    /**
     * Negates the components of a vec2
     *
     * @shorthands
     * - {@link neg}
     */
    function negate(v: vec2): vec2;
    /**
     * Alias for {@link vec2.negate}
     * @category Shorthands
     */
    const neg: typeof negate;
    /**
     * Returns the inverse of the components of a vec2
     *
     * @shorthands
     * - {@link inv}
     */
    function invert(v: vec2): vec2;
    /**
     * Alias for {@link vec2.invert}
     * @category Shorthands
     */
    const inv: typeof invert;
    /**
     * Returns the result of `v` subtracted from {@link vec2.one}.
     */
    function oneMinus(v: vec2): vec2;
    /**
     * Normalizes a vec2 to unit length. Returns the zero vector if the input has zero length.
     */
    function normalize(v: vec2): vec2;
    /**
     * Calculates the dot product of two vec2's
     */
    function dot(a: vec2, b: vec2): number;
    /**
     * Computes the cross product of two vec2's. Returns a vec3 with x and y components set to 0.
     */
    function cross(a: vec2, b: vec2): vec3;
    /**
     * Reflects incident vector `I` about normal `N`. The normal `N` should be normalized.
     * @see https://registry.khronos.org/OpenGL-Refpages/gl4/html/reflect.xhtml
     * @param I Incident vector
     * @param N Normal vector (should be normalized)
     */
    function reflect(I: vec2, N: vec2): vec2;
    /**
     * Computes the refraction vector for incident vector `I`, surface normal `N`, and ratio of indices of refraction `eta`. The normal `N` should be normalized.
     * @see https://registry.khronos.org/OpenGL-Refpages/gl4/html/refract.xhtml
     * @param I Incident vector
     * @param N Normal vector (should be normalized)
     * @param eta Ratio of indices of refraction
     * @returns The refraction vector, or zero vector for total internal reflection
     */
    function refract(I: vec2, N: vec2, eta: number): vec2;
    /**
     * Orients a normal to point away from a surface as defined by its incident vector. Returns `N` if `dot(Nref, I) < 0`, otherwise returns `-N`.
     * @see https://registry.khronos.org/OpenGL-Refpages/gl4/html/faceforward.xhtml
     * @param N Normal vector
     * @param I Incident vector
     * @param Nref Reference normal
     */
    function faceforward(N: vec2, I: vec2, Nref: vec2): vec2;
    /**
     * Projects vector `a` onto vector `b`.
     * @param a The vector to project
     * @param b The vector to project onto
     */
    function project(a: vec2, b: vec2): vec2;
    /**
     * Computes the rejection of vector `a` from vector `b` (the component of `a` perpendicular to `b`).
     * @param a The vector to reject
     * @param b The vector to reject from
     */
    function reject(a: vec2, b: vec2): vec2;
    /**
     * Linearly interpolates between two vec2's. Same as GLSL's built-in `mix` function.
     * @see https://registry.khronos.org/OpenGL-Refpages/gl4/html/mix.xhtml
     *
     * @shorthands
     * - {@link mix}
     */
    function lerp(a: vec2, b: vec2, t: vec2 | number): vec2;
    /**
     * Alias for {@link vec2.lerp}
     * @see https://registry.khronos.org/OpenGL-Refpages/gl4/html/mix.xhtml
     * @category Shorthands
     */
    const mix: typeof lerp;
    /**
     * Returns the amount to mix `min` and `max` to generate the input value `t`. This is the inverse of the `lerp` function. If `min` and `max` are equal, the mixing value is `0.5`.
     * @see https://docs.unity3d.com/Packages/com.unity.shadergraph@6.9/manual/Inverse-Lerp-Node.html
     * @see https://www.sidefx.com/docs/houdini/vex/functions/invlerp.html
     *
     * @shorthands
     * - {@link invlerp}
     */
    function inverseLerp(a: vec2, b: vec2, t: vec2): vec2;
    /**
     * Alias for {@link vec2.inverseLerp}
     * @category Shorthands
     */
    const invlerp: typeof inverseLerp;
    /**
     * Performs a spherical linear interpolation between two vec2's
     */
    function slerp(a: vec2, b: vec2, t: number): vec2;
    /**
     * Performs a hermite interpolation with two control points
     *
     * @param a the first operand
     * @param b the second operand
     * @param c the third operand
     * @param d the fourth operand
     * @param t interpolation amount, in the range [0-1], between the two inputs
     */
    function hermite(a: vec2, b: vec2, c: vec2, d: vec2, t: number): vec2;
    /**
     * Performs a bezier interpolation with two control points
     */
    function bezier(a: vec2, b: vec2, c: vec2, d: vec2, t: number): vec2;
    /**
     * Takes the value in the range `(omin, omax)` and shifts it to the corresponding value in the new range `(nmin, nmax)`. The function clamps the given value the range `(omin, omax)` before fitting, so the resulting value will be guaranteed to be in the range `(nmin, nmax)`. To avoid clamping use efit instead.
     * @see https://www.sidefx.com/docs/houdini/vex/functions/fit.html
     * @param value
     * @param omin
     * @param omax
     * @param nmin
     * @param nmax
     * @returns
     */
    function fit(value: vec2, omin: vec2, omax: vec2, nmin: vec2, nmax: vec2): vec2;
    /**
     * Takes the value in the range `(omin, omax)` and shifts it to the corresponding value in the new range `(nmin, nmax)`. Unlike `fit`, this function does not clamp values to the given range. If `omin` and `omax` are the same, the function returns the average of `nmin` and `nmax`.
     * @see https://www.sidefx.com/docs/houdini/vex/functions/fit.html
     * @param value
     * @param omin
     * @param omax
     * @param nmin
     * @param nmax
     * @returns
     */
    function efit(value: vec2, omin: vec2, omax: vec2, nmin: vec2, nmax: vec2): vec2;
    /**
     * Takes the value in the range `(0, 1)` and shifts it to the corresponding value in the new range `(nmin, nmax)`.
     * @see https://www.sidefx.com/docs/houdini/vex/functions/fit01.html
     */
    function fit01(value: vec2, nmin: vec2, nmax: vec2): vec2;
    /**
     * Takes the value in the range `(-1, 1)` and shifts it to the corresponding value in the new range `(nmin, nmax)`.
     * @see https://www.sidefx.com/docs/houdini/vex/functions/fit11.html
     */
    function fit11(value: vec2, nmin: vec2, nmax: vec2): vec2;
    /**
     * Transforms the vec2 with a mat2
     */
    function transformMat2(a: vec2, m: mat2): vec2;
    /**
     * Transforms the vec2 with a mat2d
     * 3rd vector component is implicitly '1'
     */
    function transformMat2d(a: vec2, m: mat2d): vec2;
    /**
     * Transforms the vec2 with a mat3
     * 3rd vector component is implicitly '1'
     */
    function transformMat3(a: vec2, m: mat3): vec2;
    /**
     * Transforms a vec2 with a matrix, automatically choosing the appropriate transformation function based on matrix size
     * @param p The vector to transform
     * @param m The transformation matrix (mat2, mat2d, or mat3)
     * @returns The transformed vector
     *
     * @shorthands
     * - {@link xform}
     */
    function transform(p: vec2, m: mat2 | mat2d | mat3): vec2;
    /**
     * Alias for {@link vec2.transform}
     * @category Shorthands
     */
    const xform: typeof transform;
    /**
     * Rotate a 2D vector
     */
    function rotate(a: vec2, deg: number, origin?: vec2): vec2;
    /**
     * Rotates a vector by 90 degrees
     * @param a the vector to rotate
     * @param sweep If true, the rotation is in positive direction. For example, it means clockwise rotation in a Y-down coordinate system.
     * @param origin The origin of the rotation
     * @returns The rotated vector
     
     */
    function rotate90(a: vec2, sweep?: boolean, origin?: vec2): vec2;
    /**
     * Get the angle between two 2D vectors. If the second argument is omitted, it returns a signed angle relative to x axis.
     * @param a The first vector
     * @param b The second vector
     * @returns The angle in degrees. If the angle from a to b is clockwise, the return value is positive. Otherwise, it is negative. The range is (-180, 180].
     */
    function angle(a: vec2, b?: vec2): number;
    /**
     * Creates a vector by given direction, length, and origin
     * @param deg The direction in degrees
     * @param length The length of the vector to create. Default is 1
     * @param origin The origin of the vector. Default is [0, 0]
     *
     * @shorthands
     * - {@link dir}
     */
    function direction(deg: number, length?: number, origin?: vec2): vec2;
    /**
     * Alias for {@link vec2.direction}
     * @category Shorthands
     */
    const dir: typeof direction;
    /**
     * Apply a step function by comparing two values
     * @see https://registry.khronos.org/OpenGL-Refpages/gl4/html/step.xhtml
     * @param edge The location of the edge of the step function.
     * @param v The value to be used to generate the step function.
     * @returns
     */
    function step(edge: vec2 | number, v: vec2 | number): vec2;
    /**
     * Perform Hermite interpolation between two values.
     * @see https://registry.khronos.org/OpenGL-Refpages/gl4/html/smoothstep.xhtml
     * @param edge0 Lower edge of the Hermite function.
     * @param edge1 Upper edge of the Hermite function.
     * @param x  Source value for interpolation.
     * @returns
     */
    function smoothstep(edge0: vec2 | number, edge1: vec2 | number, x: vec2): number[];
    /**
     * Converts the components of a vec2 from radians to degrees
     * @param rad The input vec2 in radians
     * @returns The degrees equivalent of the input
     *
     * @shorthands
     * - {@link deg}
     */
    function degrees(rad: vec2): vec2;
    /**
     * Alias for {@link vec2.degrees}
     * @category Shorthands
     */
    const deg: typeof degrees;
    /**
     * Converts the components of a vec2 from degrees to radians
     * @param deg The input vec2 in degrees
     * @returns The radians equivalent of the input
     *
     * @shorthands
     * - {@link rad}
     */
    function radians(deg: vec2): vec2;
    /**
     * Alias for {@link vec2.radians}
     * @category Shorthands
     */
    const rad: typeof radians;
    /**
     * Returns the sine of a number.
     * @param deg An angle in degrees
     */
    function sin(deg: vec2): vec2;
    /**
     * Returns the cosine of a number.
     * @param deg An angle in degrees
     */
    function cos(deg: vec2): vec2;
    /**
     * Returns the tangent of a number.
     * @param deg An angle in degrees
     */
    function tan(deg: vec2): vec2;
    /**
     * Returns the arcsine of a number.
     * @param v A numeric expression.
     * @returns The arcsine in degrees
     * 	 */
    function asin(v: vec2): vec2;
    /**
     * Returns the arc cosine (or inverse cosine) of a number.
     * @param v A numeric expression.
     * @returns The arc cosine in degrees
     * 	 */
    function acos(v: vec2): vec2;
    /**
     * Returns the arc-tangent of the parameters.  If `x` is not provided, `y` is regarded as a value of `y/x`.
     * @param y the values of the y-coordinate
     * @param x the values of the x-coordinate
     * @returns the angle in degrees
     * @see https://thebookofshaders.com/glossary/?search=atan
     * 	 */
    function atan(y: vec2, x?: vec2): vec2;
    /**
     * Returns the arc-tangent of the parameters.
     * @param y the values of the y-coordinate
     * @param x the values of the x-coordinate
     * @returns the angle in degrees
     * @see https://thebookofshaders.com/glossary/?search=atan
     * 	 */
    function atan2(y: vec2, x: vec2): vec2;
    /**
     * Returns the base to the exponent power, component-wise
     */
    function pow(a: vec2, b: vec2 | number): vec2;
    /**
     * Returns e raised to the power of each component
     */
    function exp(v: vec2): vec2;
    /**
     * Returns the natural logarithm of each component
     */
    function log(v: vec2): vec2;
    /**
     * Returns 2 raised to the power of the parameter
     * @param v the value of the power to which 2 will be raised
     */
    function exp2(v: vec2): vec2;
    /**
     * Returns the base-2 logarithm of each component
     */
    function log2(v: vec2): vec2;
    /**
     * Returns the square root of each component
     */
    function sqrt(v: vec2): vec2;
    /**
     * Returns the inverse of the square root of the parameter
     * @param v the value of which to take the inverse of the square root
     * @see https://thebookofshaders.com/glossary/?search=inversesqrt
     *
     * @shorthands
     * - {@link invsqrt}
     */
    function inverseSqrt(v: vec2): vec2;
    /**
     * Alias for {@link vec2.inverseSqrt}
     * @category Shorthands
     */
    const invsqrt: typeof inverseSqrt;
    /**
     * Returns the hyperbolic sine of each component
     */
    function sinh(v: vec2): vec2;
    /**
     * Returns the hyperbolic cosine of each component
     */
    function cosh(v: vec2): vec2;
    /**
     * Returns the hyperbolic tangent of each component
     */
    function tanh(v: vec2): vec2;
    /**
     * Returns the inverse hyperbolic sine of each component
     */
    function asinh(v: vec2): vec2;
    /**
     * Returns the inverse hyperbolic cosine of each component
     */
    function acosh(v: vec2): vec2;
    /**
     * Returns the inverse hyperbolic tangent of each component
     */
    function atanh(v: vec2): vec2;
    /**
     * Clamps each component to [0, 1]. Equivalent to HLSL's `saturate`.
     */
    function saturate(v: vec2): vec2;
    /**
     * Returns the sum of all components of a vector.
     * Equivalent to GLM's `glm::compAdd`.
     */
    function compAdd(v: vec2): number;
    /**
     * Returns the product of all components of a vector.
     * Equivalent to GLM's `glm::compMul`.
     */
    function compMul(v: vec2): number;
    /**
     * Returns whether or not the vectors exactly have the same elements in the same position (when compared with `===`)
     *
     * @shorthands
     * - {@link eq}
     */
    function exactEquals(a: vec2, b: vec2): boolean;
    /**
     * Alias for {@link exactEquals}
     * @category Shorthands
     */
    const eq: typeof exactEquals;
    /**
     * Returns whether or not the vectors have approximately the same elements in the same position.
     *
     * @shorthands
     * - {@link approx}
     * - {@link equals}
     */
    function approxEquals(a: vec2, b: vec2): boolean;
    /**
     * Alias for {@link approxEquals}
     * @category Shorthands
     */
    const approx: typeof approxEquals;
    /**
     * Alias for {@link approxEquals}. This is provided for compatibility with gl-matrix.
     * @category Shorthands
     * @deprecated Use {@link approxEquals} instead
     */
    const equals: typeof approxEquals;
    /**
     * Returns the string representation of a vec2
     * @param v vector to represent as a string
     * @param fractionDigits number of digits to appear after the decimal point
     */
    const toString: (v: vec2, fractionDigits?: number) => string;
}
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