export type Complex2 = readonly [imaginary: number, real: number];
export interface QuadraticIterationOptions {
    maxIterations?: number;
    escapeRadius?: number;
}
export interface ComplexQuadraticEvaluation {
    readonly escaped: boolean;
    readonly iterations: number;
    readonly magnitude: number;
    readonly potential: number;
    readonly continuousIteration: number;
    readonly derivativeBound: number;
    readonly distance: number;
    readonly orbitTrap: number;
    readonly finalPoint: Complex2;
}
export interface ResolvedQuadraticIterationOptions {
    readonly maxIterations: number;
    readonly escapeRadius: number;
}
/**
 * Validates and fills the shared limits for quadratic escape-time iteration.
 *
 * @param options - Iteration limit and escape radius to resolve.
 */
export declare function resolveQuadraticOptions(options?: QuadraticIterationOptions): ResolvedQuadraticIterationOptions;
/** Deterministic reference iteration in the coordinate order [imaginary, real]. */
export declare function evaluateComplexQuadratic(point: Complex2, parameter: Complex2, options: ResolvedQuadraticIterationOptions): ComplexQuadraticEvaluation;
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