import type { AuctionStepInput } from '../types';
export interface AuctionScheduleOptions {
    /** Leading window where nothing is emitted (mps = 0). Default 0. */
    prebidBlocks?: bigint;
    /** Number of equal-token ramp steps before the final block. Default {@link DEFAULT_AUCTION_STEPS}. */
    numSteps?: number;
    /** Fraction (0,1) of supply reserved for the single final block. Default {@link DEFAULT_FINAL_BLOCK_PCT}. */
    finalBlockPct?: number;
    /** Convexity exponent for C(t) = t^alpha (alpha > 1 is convex). Default {@link DEFAULT_CONVEXITY_ALPHA}. */
    alpha?: number;
}
/**
 * Builds the CCA emission schedule as a moderately convex curve with a large final block:
 *
 *  - an optional leading prebid window emits nothing (`mps = 0`);
 *  - the gradual ramp releases EQUAL token amounts across `numSteps` steps whose block durations
 *    DECREASE over time (boundaries from the inverse of C(t) = t^alpha);
 *  - a single final block releases the reserved `finalBlockPct` (~30%) to anchor a
 *    manipulation-resistant clearing price.
 *
 * Invariants required on-chain: every step's blockDelta >= 1, per-block `mps` sums to exactly
 * {@link MPS_TOTAL}, and blockDeltas sum to exactly `endBlock - startBlock`.
 */
export declare function deriveConvexAuctionSteps(startBlock: bigint, endBlock: bigint, options?: AuctionScheduleOptions): AuctionStepInput[];