import type { ToolDeflectionInput, ToolDeflectionResult } from './types.js';
/**
 * Calculate end mill deflection using cantilever beam theory.
 *
 * @formula
 *   I = π × d⁴ / 64
 *   δ = F × L³ / (3 × E × I)
 *   k = F / δ
 *
 * @reference Oberg, E. et al. "Machinery's Handbook", 31st Ed. — Beam deflection.
 *
 * @param input - Tool deflection parameters
 * @returns ToolDeflectionResult with deflection, inertia, and stiffness
 */
export declare function toolDeflection(input: ToolDeflectionInput): ToolDeflectionResult;
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