import { type PageMesh } from './mesh';
import type { CurlAnchor } from './types';
/**
 * Inertial follow-through page flick.
 *
 * The leaf is a cantilever clamped at the spine and driven through a rotation
 * ρ(t) = πt. Paper inertia (the Euler force, ∝ −ρ̈) bends the sheet opposite the
 * angular acceleration with a first-mode-like profile — zero curvature at the
 * clamped spine, maximal at the free edge. Under an eased turn the acceleration
 * changes sign at mid-flight, so the free edge trails while the turn winds up,
 * swings through vertical, then overtakes and settles as the turn slows: the
 * follow-through/overlapping-action principle, grounded in base-rotated
 * cantilever dynamics. Tangent angles are integrated along the width, so the
 * sheet never stretches, and the curvature direction reversing over the turn is
 * what none of the wrap-style curls do.
 *
 * Rows far from the grabbed corner lag slightly more than the driven row, so a
 * corner grab pulls a soft living diagonal across the sheet.
 */
export declare function deformFlick(mesh: PageMesh, W: number, H: number, t: number, anchor: CurlAnchor): void;