export interface AnalyzePolynomialThresholdIntervalOptions {
    /** Smallest unresolved normalized-time interval. Default 2^-30. */
    readonly timeTolerance?: number;
    /** Hard de Casteljau subdivision depth. Default 48. */
    readonly maximumDepth?: number;
    /** Relative Bernstein-coefficient tolerance. Default 256 * Number.EPSILON. */
    readonly relativeCoefficientTolerance?: number;
}
export type PolynomialThresholdPossibleViolationReason = 'negative-enclosure' | 'resolution-limit';
export interface PolynomialThresholdIntervalBase {
    readonly bernsteinCoefficients: Float64Array;
    readonly timeTolerance: number;
    readonly maximumDepth: number;
    readonly relativeCoefficientTolerance: number;
    readonly absoluteCoefficientTolerance: number;
}
export interface PolynomialThresholdIntervalSafe extends PolynomialThresholdIntervalBase {
    readonly status: 'safe';
    readonly minimumMarginLowerBound: number;
}
export interface PolynomialThresholdIntervalInitialViolation extends PolynomialThresholdIntervalBase {
    readonly status: 'initial-violation';
    readonly initialMargin: number;
}
export interface PolynomialThresholdIntervalPossibleViolation extends PolynomialThresholdIntervalBase {
    readonly status: 'possible-violation';
    readonly timeBracket: readonly [number, number];
    readonly candidateTime: number;
    readonly marginAtBracketStart: number;
    readonly marginAtBracketEnd: number;
    readonly bernsteinBounds: readonly [number, number];
    readonly reason: PolynomialThresholdPossibleViolationReason;
}
export type PolynomialThresholdIntervalAnalysis = PolynomialThresholdIntervalSafe | PolynomialThresholdIntervalInitialViolation | PolynomialThresholdIntervalPossibleViolation;
/** Internal Float64 Bernstein classifier for a threshold-shifted polynomial. */
export declare function analyzePolynomialThresholdInterval(monomialCoefficients: Float64Array, options?: AnalyzePolynomialThresholdIntervalOptions): PolynomialThresholdIntervalAnalysis;
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