import type { BigIntish } from "../types.js";
/**
 * JS implementation of {@link https://github.com/morpho-org/morpho-blue-irm/blob/main/src/libraries/adaptive-curve/ExpLib.sol ExpLib} used by the Adaptive Curve IRM.
 */
export declare namespace AdaptiveCurveIrmLib {
    /** Curve steepness constant, scaled by WAD. */
    const CURVE_STEEPNESS = 4000000000000000000n;
    /** Target utilization for the Adaptive Curve IRM, scaled by WAD. */
    const TARGET_UTILIZATION = 900000000000000000n;
    /** Initial per-second rate at target utilization, scaled by WAD. */
    const INITIAL_RATE_AT_TARGET: bigint;
    /** Per-second speed used to adjust the rate at target utilization. */
    const ADJUSTMENT_SPEED: bigint;
    /** Minimum per-second rate at target utilization, scaled by WAD. */
    const MIN_RATE_AT_TARGET: bigint;
    /** Maximum per-second rate at target utilization, scaled by WAD. */
    const MAX_RATE_AT_TARGET: bigint;
    /**
     * ln(2), scaled by WAD.
     */
    const LN_2_INT = 693147180559945309n;
    /**
     * ln(1e-18), scaled by WAD.
     */
    const LN_WEI_INT = -41446531673892822312n;
    /**
     * Above this bound, `wExp` is clipped to avoid overflowing when multiplied with 1 ether.
     * This upper bound corresponds to: ln(type(int256).max / 1e36) (scaled by WAD, floored).
     */
    const WEXP_UPPER_BOUND = 93859467695000404319n;
    /**
     * The value of wExp(`WEXP_UPPER_BOUND`).
     */
    const WEXP_UPPER_VALUE = 57716089161558943949701069502944508345128422502756744429568n;
    /**
     * Returns an approximation of exp(x) used by the Adaptive Curve IRM.
     * @param x - The WAD-scaled exponent.
     * @returns The WAD-scaled exponential approximation.
     * @example
     * ```ts
     * import { AdaptiveCurveIrmLib } from "@morpho-org/blue-sdk";
     *
     * const value = AdaptiveCurveIrmLib.wExp(0n);
     * // value === 1000000000000000000n
     * ```
     */
    function wExp(x: BigIntish): bigint;
    /**
     * Computes Adaptive Curve IRM borrow rates from utilization and elapsed time.
     *
     * @param startUtilization - The market utilization at the start of the period, scaled by WAD.
     * @param startRateAtTarget - The rate at target utilization at the start of the period, scaled by WAD.
     * @param elapsed - The elapsed time in seconds.
     * @returns The average borrow rate, end borrow rate, and end rate at target, all scaled by WAD.
     * @example
     * ```ts
     * import { AdaptiveCurveIrmLib } from "@morpho-org/blue-sdk";
     *
     * const rates = AdaptiveCurveIrmLib.getBorrowRate(
     *   AdaptiveCurveIrmLib.TARGET_UTILIZATION,
     *   AdaptiveCurveIrmLib.INITIAL_RATE_AT_TARGET,
     *   12n,
     * );
     * // rates satisfies { avgBorrowRate: bigint; endBorrowRate: bigint; endRateAtTarget: bigint }
     * ```
     */
    function getBorrowRate(startUtilization: BigIntish, startRateAtTarget: BigIntish, elapsed: BigIntish): {
        avgBorrowRate: bigint;
        endBorrowRate: bigint;
        endRateAtTarget: bigint;
    };
    /**
     * Finds the utilization corresponding to a borrow rate and rate at target.
     *
     * @param borrowRate - The borrow rate to invert, scaled by WAD.
     * @param rateAtTarget - The rate at target utilization, scaled by WAD.
     * @returns The utilization corresponding to `borrowRate`, scaled by WAD.
     * @example
     * ```ts
     * import { AdaptiveCurveIrmLib } from "@morpho-org/blue-sdk";
     *
     * const utilization = AdaptiveCurveIrmLib.getUtilizationAtBorrowRate(
     *   AdaptiveCurveIrmLib.INITIAL_RATE_AT_TARGET,
     *   AdaptiveCurveIrmLib.INITIAL_RATE_AT_TARGET,
     * );
     * // utilization === AdaptiveCurveIrmLib.TARGET_UTILIZATION
     * ```
     */
    function getUtilizationAtBorrowRate(borrowRate: BigIntish, rateAtTarget: BigIntish): bigint;
}