/**
 * - `t = 0` → returns `a`
- `t = 0.5` → returns midpoint
- `t = 1` → returns `b`
- Single multiplication, single addition
- No branching (fast)
- Works for ANY numeric type (positions, colors, angles, scales)

 * @param {*} a
 * @param {*} b
 * @param {*} t
 * @returns
 */
export function lerp(a: any, b: any, t: any): any;
export function lerp2D(p0: any, p1: any, t: any): {
    x: any;
    y: any;
};
export function inverseLerp(a: any, b: any, value: any): number;
export function remap(inMin: any, inMax: any, outMin: any, outMax: any, value: any): any;
/**
 * in quadratic interpolation (or "quadratic lerp" in programming contexts), the resulting line is a parabolic curve that is determined by the three points. It is not a direct, piecewise linear connection of the points.
Quadratic interpolation fits a second-degree polynomial (a parabola) through the three given points (e.g., A, B, and C).
When used as a Bézier curve, the three points define the start point, an end point, and a control point that shapes the curve.
The curve is generated by a continuous process of linear interpolations (lerps) between intermediate points, resulting in a smooth arc.
 * @param {*} p0
 * @param {*} p1
 * @param {*} p2
 * @param {*} t
 * @returns
 */
export function quadraticBezier(p0: any, p1: any, p2: any, t: any): {
    x: any;
    y: any;
};
/**
 * the tangent vector of a quadratic Bézier curve is directly related to a linear interpolation (LERP). Specifically, the first derivative of a quadratic Bézier curve equation is a LERP function that defines the curve's velocity and direction (tangent) at any given parameter \(t\). A quadratic Bézier curve is defined as \(B(t)=(1-t)^{2}P_{0}+2(1-t)tP_{1}+t^{2}P_{2}\).The first derivative (rate of change with respect to \(t\)) is \(B^{\prime }(t)=2(1-t)(P_{1}-P_{0})+2t(P_{2}-P_{1})\).This derivative can be expressed as a LERP between the vectors \((P_{1}-P_{0})\) and \((P_{2}-P_{1})\), scaled by 2.
 * @param {*} p0
 * @param {*} p1
 * @param {*} p2
 * @param {*} t
 * @returns
 */
export function quadraticBezierTangent(p0: any, p1: any, p2: any, t: any): {
    x: number;
    y: number;
};
export function cubicBezier(p0: any, p1: any, p2: any, p3: any, t: any): {
    x: any;
    y: any;
};
export function cubicBezierTangent(p0: any, p1: any, p2: any, p3: any, t: any): {
    x: number;
    y: number;
    magnitude: number;
};
export function distance2D(p1: any, p2: any): number;
/**
 * **The insight:** We don't change lerp. We change **t**.

```javascript
// Linear (boring)
const x = lerp(a, b, t);

// Beautiful
const easedT = easeOutCubic(t);
const x = lerp(a, b, easedT);
```

Easing functions transform `t` from a straight line into a curve. Same lerp, different feel.
 */
export function easeInQuad(t: any): number;
export function easeOutQuad(t: any): number;
export function easeInOutQuad(t: any): number;
export function easeInCubic(t: any): number;
export function easeOutCubic(t: any): number;
export function easeInOutCubic(t: any): number;
/**
 *
- **EaseIn**: Slow start, fast end (accelerate)
- **EaseOut**: Fast start, slow end (decelerate)
- **EaseInOut**: Slow both ends, fast middle (S-curve)

 */
export function easeInQuart(t: any): number;
export function easeOutQuart(t: any): number;
export function easeInOutQuart(t: any): number;
export function easeOutElastic(t: any): number;
export function easeInElastic(t: any): number;
export function easeOutBounce(t: any): number;
export function easeInBounce(t: any): number;
export function easeOutBack(t: any): number;
export class BezierChain {
    segments: any[];
    addSegment(p0: any, p1: any, p2: any, p3: any): void;
    addSmoothSegment(p2: any, p3: any): void;
    getPoint(globalT: any): any;
    getTangent(globalT: any): {
        x: number;
        y: number;
        magnitude: number;
    };
    removeFirstSegment(): void;
}