import { XpbdParticleN, type XpbdVelocityResponseContextN, type XpbdVelocityResponseEvaluationN, type XpbdVelocityResponseN } from './xpbd-world.js';
export interface XpbdExponentialVelocityDampingNOptions {
    readonly id: string;
    readonly particles: readonly XpbdParticleN[];
    /** Isotropic exponential decay rate in inverse seconds. */
    readonly rate: number;
}
export interface XpbdExponentialVelocityDampingEvaluationN extends XpbdVelocityResponseEvaluationN {
    readonly rate: number;
    /** Exact per-substep multiplier `exp(-rate * deltaTime)`. */
    readonly factor: number;
    readonly dampedParticleCount: number;
    readonly kineticEnergyBefore: number;
    readonly kineticEnergyAfter: number;
    readonly kineticEnergyChange: number;
}
/**
 * Dimension-independent isotropic velocity decay with a rate measured per
 * second. Because each substep applies `exp(-rate * h)`, the final velocity
 * factor is invariant under subdivision of the same total duration.
 */
export declare class XpbdExponentialVelocityDampingN implements XpbdVelocityResponseN {
    readonly id: string;
    readonly dimension: number;
    readonly particles: readonly XpbdParticleN[];
    readonly rate: number;
    constructor(options: XpbdExponentialVelocityDampingNOptions);
    apply(context: XpbdVelocityResponseContextN): XpbdExponentialVelocityDampingEvaluationN;
}
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